Therefore , the solution of the given problem of quadrilateral comes out to be the centre of dilatation to produce a smaller polygon (0.9x, 0.9y).
Describe a quadrilateral.In geometry, a four-sided object having four corners is referred to as a quadrilateral. The word comes from either the Latin quad or portfolio of innovative (meaning "side"). Four corners, four states, and four corners are the three dimensions of a rectangle. Concave and convex surfaces come in essentially two varieties. Convex quadrilaterals also include the subclasses of trapezoids, parallelograms, angles, rhombuses, and squares.
Here,
The rule that can describe this is (x, y). The polygon is expanded to use the beginning as the point of dilatation to generate a smaller polygon. (0.9x, 0.9y)
A point is transformed when it is moved from its original location to something like a new one. Reflection, rotation, translation, and dilation are examples of different transformations.
The term "dilation" refers to an alteration in a figure's size.
The clear element is A' if a position A(x, y) is stretched by a factor k. (kx, ky). It is a decrease if k 1 and an enlargement if k > 1.
The rule that can describe this is (x, y). The hexagon is dilated to use the beginning as the centre of dilatation to produce a smaller polygon.
(0.9x, 0.9y)
Therefore , the solution of the given problem of quadrilateral comes out to be the centre of dilatation to produce a smaller polygon (0.9x, 0.9y).
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does someone mind helping me with this question? Thank you!
Answer:
Point Form:
(−2,2)
Equation Form :x=−2,y=2
Step-by-step explanation:
:)
No problem at all! Getting on it now.
So if you want to eliminate variables, do this. :)
-3x + 2y = 10
6x + 6y = 0
Maybe something you didn't know is that you can multiply one set by a number. Watch this!
2(-3x + 2y) = 2(10)
6x + 6y = 0 [You don't have to multiply this set by 2.]
-6x + 4y = 20
6x + 6y = 0
Set it up like addition!
0x + 10y = 20
= 10y = 20
So you found what y is, after you divide 10y by 10 and 20 by 10. Y = 2! Then use substitution to put it back in and find x.
-3x + 2(2) = 10
6x + 6(2) = 0
So -3x + 4 = 10. Subtract 4 from both sides to cancel it out. This is now -3x = 6. Divide -3x by -3 and 6 by -3 to get x = -2. Yay!!
The values are (-2, 2). :) If you graph it out, you can even see that that is where the lines intersect!!
(attached file)
How cool is that!
Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
The equation for the given scenario is 4x-22.20=1.90. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.
Let cost of each tire be x.
Now, the equation is 4x-22.20=1.90
Therefore, option B is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply.
4x – 1.9 = 22.2
4x – 22.2 = 1.9
4x + 1.9 = 22.2
4x + 22.2 = –1.9
22.2 – 4x = 1.9
A cab charges $5 and an extra amount of $3 per mile. A person has
$65 with them. If f represents the total fair of the cab and d represents
the distance traveled by the person, which system of equation and
inequality models the distance traveled by the person?
A- f=3+5d
ƒ < 65
B - f = 3 +5d
f≤ 65
C- f=5+3d
f< 65
D- f = 5 + 3d
f≤ 65
D- f = 5 + 3d f≤ 65 system of equation and inequality models the distance traveled by the person.
What is inequality?Inequality in math is when one number or value is not equal to another. It can be expressed using symbols such as ">," "<," "≥," and "≤," which are used to indicate whether a value is greater than, less than, or equal to another. Inequalities are used to express mathematical relationships, such as the balance of a budget. Inequality can also be used to represent the difference between two values, or the amount of change that has occurred.
This system of equation and inequality models the distance traveled by the person in the given scenario. The equation f = 5 + 3d represents the total cost of the cab fare, where 5 is the base fare and 3 is the cost per mile. The equation f≤65 represents the constraint that the total cost of the cab fare must be less than or equal to 65 dollars. Therefore, the person can travel a maximum distance of d = (65 - 5) / 3 = 20 miles for their given budget of 65 dollars.
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You work for a lender that requires a 15% down payment and uses the standard debt-to-income ratio to determine a person's eligibility for a home loan. Of the following, choose the person that you would rate the highest on their eligibility for a home loan.
Person A
$95,000
$107,000
home value income savings recurring debt
$46,000
$53.000
$20,000
$13.910
$310
$198
Person C
$120,000
$58,000
$18.000
$265
Person D
$128.000
$60.000
$19,200
$400
Person B will be rated the highest on their eligibility for a home loan. The solution is obtained using debt-to-income ratio.
What is debt-to-income ratio?
Lenders use the debt-to-income (DTI) ratio, which measures what proportion of your gross monthly income is utilised to pay your debts each month, to assess your risk of borrowing.
Now, let's evaluate the debt-to-income ratio of all persons.
Person A
Home value= $95,000
Income= $46,000
Savings= $20,000
Recurring Debt= $310
Debt-to-income ratio = 310/46000 = 0.007
Person B
Home value= $107,000
Income= $53,000
Savings= $13,910
Recurring Debt= $198
Debt-to-income ratio = 198/53000 = 0.004
Person C
Home value= $120,000
Income= $58,000
Savings= $18,000
Recurring Debt= $265
Debt-to-income ratio = 265/58000 = 0.005
Person D
Home value= $128,000
Income= $60,000
Savings= $19,200
Recurring Debt= $400
Debt-to-income ratio = 400/60000 = 0.007
Hence, Person B will be rated the highest on their eligibility for a home loan because his debt-to-income ratio is the lowest.
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Brown bears grow at a rate of 4 inches per year. Polar bears grow at a rate of 5 inches per year. If a brown bear is currently 3 feet tall and a polar bear is currently 2 feet tall , use a system of equations to determine when they will reach the same height?
Answer:
just need points and the anser would be
Step-by-step explanation:
6
kit
12-8: Practice Buddy: Independent Practice; Problem Solving Copy 1
12.8.IP-8
Question Help
Rodney's family is thinking about buying a family pass to a gym. The pass is $60 for a family of 4. Individual passes are
$20 each. How much money can Rodney's family save by purchasing a family pass instead of 4 individual passes?
Rodney's family can save $ 20 by purchasing a family pass instead of 4 individual passes.
Calculating savings:To find the saving in the given problem, calculate the money that can be spent by purchasing a family pass and by purchasing 4 individual passes and find the difference between them.
Here we have
Rodney's family is thinking about buying a family pass to a gym. The pass is $60 for a family of 4. Individual passes are $20 each.
If Rodney's family buys a family pass then the cost = $ 60
If they buy Individual passes, then the total cost = 4 × $ 20 = $ 80
Difference between two costs = $ 80 - $ 60 = $ 20
Therefore,
Rodney's family can save $ 20 by purchasing a family pass instead of 4 individual passes.
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I need to find X, to get the answer
Answer: X is equal to 62
I really need help on this:
Answer:
Step-by-step explanation:
For (a), draw a horizontal line that crosses 1600 on the y-axis and the graph.
For (b), find the x coordinates of the point that makes the y coordinates 1600. So the coordinates would be (420,1600) which means that he needs to sell 420 boxes.
For (c), mark the spot between 360 and 480 and write 420 under it.
What other information is needed to prove that △FGE ~ △IJH by the SAS similarity theorem?
Answer:
[tex]\angle I \cong \angle F[/tex]
Step-by-step explanation:
The angles included between the pairs of sides with proportional side lengths must be congruent to prove similarity by SAS.
If Kevin gets paid for $3$ hours, gets $1$ weekly allowance, rides the bus $6$ times, and has $0$ dollars at the end of the week, how many times did he buy dinner? Justify your answer
Kevin bought dinner four times.
As per the data given in the above question are as bellow,
The details provided are as bellow,
Kevin is compensated for $3 hours.
Kevin is paid $1 per week.
Rides the bus $6 times and at the end of the week has nothing,
How many meals did he purchase?
The sum of Kevin's hourly wage and weekly stipend is equal to
3 * 14 + 21 = $63.
He takes the bus six times, thus the cost of the bus journey is six times =$2.50
=$15.
Kevin still has
=$63 - $15
= $48 in his pocket.
But if he has no money left at the end of the week, the number of times he purchased meals is equal to
=48/12
= $4.
Kevin bought supper as a result four times every week.
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Distribute to create an equivalent expression with the fewest symbols possible.
(6m-7)x4
Distributing to create an equivalent expression with fewest symbols possible will result to 24m - 28
What is distributive law of multiplication?According to the Distributive Law, multiplying a number by a collection of numbers is equivalent to performing each multiplication independently.
In mathematics, the law linking the operations of multiplication and addition is known as distributive law, sometimes known as distributive property. It is symbolically expressed as a(b + c) = ab + ac.
For the problem the law is applied as follows
(6m - 7 )* 4
multiplying each term
24m - 28
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Brittany makes only a commission at her job as a door-to-door salesperson. Last week, she earned $258.25 on total sales of $3,456. What is her rate of commission? (Round to the nearest whole percent)
The rate of commission for the sale is 7.47%.
What is the percentage?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to determine the percentage of the given number, we divide the number by its whole number and multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given Brittany makes only a commission at her job as a door-to-door salesperson.
total sales = $3,456
total earnings from sale = $258.25
rate of commission = total earnings/total sales
rate of commission = 258.25/3456
rate of commission = 0.0747
percent rate = 0.0747 x 100
rate of commission = 7.47%
Hence the rate of commission is 7.47%.
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what are all the different ways the planners can arrange thge penbs fdor the horses and cows in the barn?
The different ways to arrange the pens for the horses and cows in the barn is,
''They could have six pens in each row, with room for people to walk around them. They could also have ten pens in each row, with room for the animals to move around.''
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
The planners of the county fair can arrange the pens for the horses and cows in the same barn in a few different ways. They could have six pens in each row, with room for people to walk around them. They could also have ten pens in each row, with room for the animals to move around.
Hence, The different ways to arrange the pens for the horses and cows in the barn is,
''They could have six pens in each row, with room for people to walk around them. They could also have ten pens in each row, with room for the animals to move around.''
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1. Solve the system using the substration method 3x - 4y = -5 -x + 2y = 3
2. Solve the system using the Linear combination method
3x-4y=9
-3x+2y=-9
3. Solve the system using the Linear combination method
x+6y=2
5x+4y=36
4. Solve the system using the Linear combination method
5x-2y=6
-3x+y=2
Please help ASAP
The answers of the equations are (x,y) = ((11/3),(8/3)), x = -4 & y = -9/2 and x = -16/7 & y = 4/7.
1. To solve the system of equations using the substitution method, we can solve one of the equations for one of the variables and substitute that into the other equation.
3x - 4y = -5
-x + 2y = 3
Solving the first equation for x:
3x = 4y - 5
x = (4/3)y - (5/3)
Substituting this into the second equation:
-((4/3)y - (5/3)) + 2y = 3
-y + 2y = 3 + (5/3)
y = (8/3)
Now we can substitute this back into the first equation to find x:
3x = 4((8/3)) - 5
3x = 16 - 5
3x = 11
x = (11/3)
So the solution to the system is (x,y) = ((11/3),(8/3))
2. 3x-4y=9
-3x+2y=-9
multiply the first equation by -3 and add it to the second equation:
-9x + 12y = -27
-3x+2y=-9
-9x+14y=-36
x = -4
y = -9/2
3. x+6y=2
5x+4y=36
multiply the second equation by -1 and add it to the first equation:
x+6y=2
-5x-4y=-36
-4x+2y=-34
x = -17/2
y = 17
5x-2y=6
-3x+y=2
multiply the first equation by -3 and add it to the second equation:
-15x+6y=-18
-3x+y=2
-18x+7y=-16
x = -16/7
y = 4/7
Therefore, The answers of the equations are (x,y) = ((11/3),(8/3)), x = -4 & y = -9/2 and x = -16/7 & y = 4/7.
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Find the distance from point P to the line L in the figure at the right 
~7.62.
Using the Pythagorean Theorem, a^2 + b^2 = c^2, we find the legs of the triangle. Going down, we have 7 units. Going to the right, we have three units.
7^2 + 3^2 = 49 + 9 = 58
Now, we have to square root 58 since we squared the summation of 7^2 and 3^2.
(sqrt 58) ~ 7.62
What is the probability of randomly selecting a number between 5 and 11 from the numbers 1 - 15
The probability of randomly selecting a number between 5 and 11 from the numbers 1-15 would be 1/3 or approximately 0.46.
What will be the probability for numbers 5 to 11?The possible outcomes are calculated first. There are 15 possible outcomes in this situation because the numbers 1 through 15 can be chosen.
Count the number of favourable outcomes. There are seven favourable outcomes in this situation because the numbers 5 to 11 are selectable.
By dividing the number of favourable outcomes by the total number of possible possibilities, you may calculate the probability.
The probability in this situation is 7/15, or roughly 0.333 (1/3).Therefore, 7/15, or 0.333, represents the probability of choosing at random number between 5 and 11 from the range of 1 to 15.
Number of events = 7
Total events = 15
Probability = 7/15
Probability = 0.46
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study smart one triangle has vertices a,b, and c. another has vertices t, r, and i. are the 2 triangles similar?
"Study smart one triangle has vertices a,b, and c. another has vertices t, r, and i, are the 2 triangles similar?"
It is not possible to determine if the two triangles are similar based on the information provided.
In order for two triangles to be similar, they must have the same shape but not necessarily the same size. The sides of the two triangles must be in proportion and corresponding angles must be congruent.
Similarity between two triangles can be determined by using the criterion of AAA similarity or SAS similarity, which states that two triangles are similar if:
All three angles of one triangle are congruent to the corresponding angles of the other triangle (AAA similarity)Two angles of one triangle are congruent to the corresponding angles of the other triangle, and the sides opposite to those angles are in proportion (SAS similarity)without knowing the measures of the angles and sides of the triangles, it is impossible to determine if the two triangles are similar.
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HELP IM ON A TIMER WILL GIVE BRAINLISTEST AND 5 STAR REVIEW
Answer: The answer you chose was correct
Step-by-step explanation:
Angle y = 60 + 65 = 125 degrees
A principal of a school with 484 students collected information about how many of the students wear glasses complete the two way frequency table. Plss help I didn’t understand how to do it!!
a. 48 boys sometimes wear glasses.
b. 103 students wear glasses some of the time.
c. 305 students never wear glasses
d. There are more number of boys in the school.
e. The percentage of girls who never wear glasses is 61.28%.
f. The percentage of boys is 51.45%.
g. The percentage of students who always wear glasses is 15.7%.
The values above are obtained by observing the frequency table.
What is frequency?The number of times a specific data value occurs is the frequency of that data. We use f to symbolize the frequency of a data value.
A frequency table is a table that lists items and displays how frequently each item happens.
a. The total students are 484.
Out of this, 76 students always wear glasses and 305 students never wear glasses.
Thus, the number of students who sometimes wear glasses are:
484-305-76= 103 students
Out of these 103, 55 are girls, so the number of boys are;
103-55= 48
Thus, 48 boys sometimes wear glasses.
b. The number of students who wear glasses some of the time are:
48+55= 103 students
c. The number of students who never wear glasses are:
161+144= 305 students
d. The total number of boys in the school are:
40+48+161= 249 boys
The total number of girls in the school are:
36+55+144= 235 girls
Thus, there are more number of boys in the school.
e. There are total 235 girls in the school. Out of this, 144 girls never wear glasses.
So, the percentage is 144/235*100 = 61.28%
f. There are total 484 students in the school. Out of this, 249 students are boys.
So, the percentage is 249/484*100= 51.45%
g. There are total 484 students in the school. Out of this, 76 students always wear glasses.
So, the percentage is 76/484*100= 15.7%
Hence, the frequency table is completed and the values are obtained.
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Please help its finals
The best graphical representation of the data is given below.
What is the line of best fit?A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
Given:
The attached table named 'x and y values' shows the points scored by a basketball team during the first 13 games of the season.
To determine the best graphical representation of the data:
We have to find the line of the best fit.
A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit.
And the graph of the equation is given in the attached image named 'regression 2'.
Therefore, the explanation is given above.
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I need help please I can't figure it out
From the proof below, the reason why ΔMKO ≅ ΔMLO is; SAS Congruency Postulate
How to find the congruency proof?From the triangle construction, we can see that;
MN bisects ∠KML
Thus;
∠KMO ≅ ∠LMO
Similarly, since KM, ML and KL were drawn with length AB, then it means that; KM ≅ ML ≅ KL
Similarly, MO ≅ MO by reflexive property of congruence
Thus, we conclude that ΔMKO ≅ ΔMLO by SAS Congruency Postulate
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Sharon is a real estate agent. She receives a weekly salary of $450 plus 8% commission on her real estate sales. Last week, she sold a $225.000 house. How much did Sharon earn last week? Show all working. (3pts)
Answer:
$18,450
Step-by-step explanation:
Weekly salary = $450
This is a fixed amount regardless of whether she sells a house or not
The house she sold last week was $225,000
Her 8% commission works out to 225,000 x 8/100
= $18,000
So total that Sharon earned last week = $18,000 + $450 = $18,450
mendelian genetics probability pedigrees and chi-square statistics
Mendelian genetics uses probability pedigrees and chi-square statistics to study the patterns of inheritance of traits. Probability pedigrees are diagrams to calculate chance of inheritance, while chi-square statistics is a test to compare observed data to expected results.
Mendelian genetics is the study of inheritance patterns of traits from parent to offspring. It is based on the work of Gregor Mendel, a 19th century monk and scientist who studied the inheritance of traits in pea plants. Probability pedigrees are diagrams that can be used to calculate the chance of a certain trait being passed down from generation to generation. These diagrams represent the relationships between family members, and the likelihood of a trait being inherited from a parent. Chi-square statistics is a statistical test used to compare observed data to expected results. This is often used to determine the likelihood that an observed trait is inherited from a parent. The chi-square test is used to measure the amount of deviation from the expected, and can help to identify patterns of inheritance. By using probability pedigrees and chi-square statistics, researchers can gain a greater understanding of the patterns of inheritance in a population. This knowledge can be used to develop strategies to prevent or treat diseases that have a genetic component.
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6. You are constructing a 90% confidence interval for a sample consisting of n = 9 values and an
unknown population standard deviation. The population appears to be very skewed. Determine
whether a margin of error should be calculated using a critical value of za/2, a critical value of ta/2, or neither.
a) a critical value of za/2
b) a critical value of ta/2
c) neither
7. The standard deviation of sample size of n = 15 is 345 and the mean is 6784. Given that the population follows a normal distribution, construct a 90% confidence interval estimate of the mean of the population.
a) 6519
b) 6593
c) 6627
d)6783
6. The correct option is (a) a critical value of za/2
7. The correct option is (c) 6627
6. In this case, since the population standard deviation is unknown and the sample size is relatively small (n = 9), a margin of error should be calculated using a critical value of ta/2. This is because when the population standard deviation is unknown and the sample size is small, the t-distribution should be used to calculate the margin of error, as it takes into account the additional uncertainty that arises from estimating the population standard deviation from the sample. The t-distribution is more forgiving for small sample sizes, and it gets closer to the normal distribution as the sample size increases.
7. To construct a 90% confidence interval estimate of the mean of the population, we can use the following formula:
Mean ± (t*critical value) * (standard deviation/√n)
Where t*critical value is the critical value of t-distribution with n-1 degrees of freedom at a 90% level of confidence, and standard deviation is the standard deviation of the sample, and n is the sample size.
To find the critical value of t-distribution with 14 degrees of freedom at a 90% level of confidence, we can use a t-table or a calculator.
For the given sample, the standard deviation is 345, the mean is 6784 and n=15. Plugging these values in the above formula gives:
6784 ± (t*critical value) * (345/√15)
As we are using 90% level of confidence, t*critical value is approximately 1.76
So the 90% Confidence interval estimate of the population mean is (6784 - (1.76345/√15) , 6784 + (1.76345/√15) ) = 6627.22 or 6940.77 .
As, 6940 is not an option given, we consider 6627 as the correct answer.
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The math is hard
And need help
For making sandwiches 5 hours and delivering for 4 hours, Eric earns a total of $53.
How much money he saved?We know that the expression that represnets how much Eric saves for working s hours making sandwiches and d hours in delivery is:
(1/2)*(10s + 14d)
Now we want to see how much he earns for making sandwiches 5 hours and delivering for 4 hours, then we need to evaluate in:
s = 5
d = 4
Replacing that we will get:
(1/2)*(10*5 + 14*4) = 53
He makes 53 dollars.
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What are the 3 examples of quadratic equations written in standard form?
The 3 examples of quadratic equations written in standard form is:
(1) a[tex]x^2[/tex] + bx + c = 0
(2) a[tex](x - h)^2[/tex] + k = 0
(3) a (x - p)(x - q) = 0
a[tex]x^2[/tex] + bx + c = 0 is the quadratic equation's standard form, where 'a' is the leading coefficient and a non-zero real number. Due to the word "quad" meaning "square," this equation, whose degree is 2, is referred to as "quadratic." A quadratic equation can be expressed in other ways in addition to the usual form.
Vertex Form: a[tex](x - h)^2[/tex] + k = 0
Intercept Form: a (x - p)(x - q) = 0
[tex]ax^2 + bx + c = 0[/tex], where a 0 and a, b, and c are real numbers, is the conventional form of a quadratic equation with a variable x.
a is the [tex]x^2[/tex] coefficient, b is the x coefficient, c is the constant.
In this case, b and c might either be zeros or non-zero values.
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Is a triangle 180 degrees or 90?
The sum of interior angles of a triangle is 180°.
Angle sum property of a triangle:
The sum of interior angles of a triangle is 180°.
One exterior angle of a triangle is equal to the sum of the other two angles in the triangle.
The exterior angle is obtained by extending the side of the triangle. Since it is a straight line, the angle is 180°.
Here, ∠CBD =180° Linear pair
∠ACD = ∠BAC +∠ABC
The formula to find the sum of interior angles of a regular polygon is
(n-2)180°, where n is the number of sides of the polygon.
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Pythagorean Theorem question
The length of the bottom of the ladder from the bottom of the building is 17.3 feet.
How to find the side of a right triangle?You place a 28 foot ladder against the top of a 22 foot building. The length of the bottom of the ladder from the bottom of the building can be calculated as follows:
The situation forms a right triangle.
The distance can be found using Pythagoras's theorem,
Hence,
c² = a² + b²
where
c = hypotenuse sidea and b are the other legsTherefore,
28² - 22² = b²
784 - 484
b² = 300
square root both sides
b = √300
b = 17.3205080757
Therefore,
b = 17.3 ft
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Answer:
17.3 feet
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
I need help ASAP Which systems of equations intersect at point A in this graph?
Graph shows a point plotted on a coordinate plane. Point A is plotted at (minus 2, 1).
The system of equations that pass through the given point are mentioned below -
{y = 4x + 9 & y = - 3x - 5}
and
{y = 2x + 5 & y = 5x + 11}
Define a system of linear equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.Given is the coordinate point (- 2, 1) on the cartesian system.
The system of equations that will satisfy the point (- 2, 1) will be such that the Left hand side {L.H.S} and right hand side {R.H.S} of both the equations will be equal.
[ 1 ] -y = 4x + 9 & y = - 3x - 5
For the point (- 2, 1), we can write -
y = 4x + 9
1 = 4 x - 2 + 9
1 = 9 - 8
1 = 1
and
y = - 3x - 5
1 = -3 x -2 - 5
1 = 6 - 5
1 = 1
[ 2 ] -y = 2x + 5 & y = 5x + 11
For the point (- 2, 1), we can write -
1 = 2 x - 2 + 5
1 = - 4 + 5
1 = 1
and
y = 5x + 11
1 = 5 x - 2 + 11
1 = 1
Therefore, the system of equations that pass through the given point are mentioned below →
{y = 4x + 9 & y = - 3x - 5}
and
{y = 2x + 5 & y = 5x + 11}
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Answer:
1. y=4x+9 2. y=2x+5 3. y=3x+7
y=-3x-5 y=5x+11 y=-x-1
Step-by-step explanation:PLATO
all 3 of those are the answers, i got it right!
Hi guys I’m new but what is 3x + 5x = 6x (-2 = 5)?
Answer: 17
Step-by-step explanation:
Start with (-2 = 5 ) if I’m correct that should be 3
Add 3x 5x and 6x which is 14 then add 3 which is 17x