Answers
Answer:
1st: One solution
2nd: Infinite many solutions
3rd: No solution
4th: No Solution
5th: One Solution
Step-by-step explanation:
1st:
The solution is (6,9)
x = 6 if a vertical line going though (6,0)
y = 9 is a horizontal line going through (0,9)
The two lines with intersect at (6,9)
2nd:
3y = 15x + 6 If you divide all the way through by 3, you get
y = 5x + 2
This is identical to the first equation given. Since it is the same line, the answer is infinite many solutions.
3rd:
3y = x + 2 Divide all the way through by 3
y = 1/3 x + 2/3
9y = 3x + 7 Divide all the way through by 9
y = 1/3 x + 7/9
Since the slopes are the same in both equations (1/3), these line are parallel and will never intersect.
4th:
Since the slopes are both the same (2), the lines are parallel and they will never intersect, so the answer is no solution.
5th:
2y = 3x Divide both sides by 2
y = 3/2
-5y = -10 Divide both sides by -5
y = 2x
These equations are proportional so they go through the origin. They both have a y intercept of zero, so they intersect at (0,0). The answer is one solution.
Related Questions
write an equivalent ratio for each given ratio.
Answers
Answer:
what are the given ratio?
Step-by-step explanation:
Question content area top
Part 1
A new bank customer with $ wants to open a money market account. The bank is offering a simple interest rate of %.
a. How much interest will the customer earn in years?
Answers
years will be, $ 660
Step-by-step explanation:
Given:
Principle = $3000
Interest rate = 1.1 %
Time = 20 years
Now we have to determine the simple interest.
Formula used:
S.I = PRI
100
where,
P = principle
R = interest rate
T= time
S.I = simple interest
Now put all the given values in the above formula, we get:
5.1 =
_ ($3000)x1.1x(20)
100
S.I = $660
Thus, the interest customer earn in 20 years will be, $ 660
Select the correct answer.
Consider the function given below.
f(x) = lx-5l +2
Which of the following statements about the y-values of the graph of the function is true?
A. The y-values are all greater than or equal to 5.
B. The y-values are all greater than or equal to 2.
C. The y-values are all less than or equal to 2.
D. The y-values are all less than or equal to 5.
Answers
The statement which is true about the y-values of the graph of the function as required is; Choice B; The y-values are all greater than or equal to 2.
Which statement is true regarding the y-values?It follows from the task content that the statement which is true regarding the y-values of the graph defined by; f(x) = lx-5l +2 is to be determined.
Therefore, we must recall that expressions enclosed in the absolute value sign upon evaluation are always greater than or equal to zero.
Hence, it can be concluded that we the y-values of the resulting graph to be greater than or equal to 2 (on the occasion that; lx-5l = 0).
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Find the rectangular coordinates of the point with the polar coordinates (-7,5 π/3)
Answers
Rectangular coordinates are x = -3.5 , y = 7[tex]\sqrt{3}[/tex]/2 by using the relation between rectangular and polar coordinates
What do you mean by rectangular coordinates?
Rectangular coordinates, commonly known as cartesian coordinates, are a way to represent graphs and show where points are located on a two-dimensional surface or in three-dimensional space.
The origin is the intersection of the two perpendicular axes that make up the Cartesian plane.
The xy plane is another name for the Cartesian plane.
Given polar coordinates are (-7,5π/3)
To change polar coordinates to recatngular coordinate use
x = rcosθ , y = rsinθ
here r = -7 and θ = 5π/3
x = -7cos5π/3 = -7 × 1/2 = -7/2 = -3.5
y = -7sin5π/3 = -7 × -[tex]\sqrt{3}[/tex]/2 = 7[tex]\sqrt{3}[/tex]/2
Therefore, rectangular coordinates are x = -3.5 , y = 7[tex]\sqrt{3}[/tex]/2
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what is the rate of acceleration of a bycycle if it went from a complete stop to 15 meters per second in 5 seconds ILL MAKE U BRAINLIEST
Answers
The rate of acceleration of a bicycle. if it went from a complete stop to 15 meters per second in 5 seconds is
How to calculate the rate of accelerationacceleration is solved using the formula
a = (v - u) / t
definition of variables
final velocity = v
initial velocity = u
time taken = t
form the question we have that
v = 15 meters per seconds
u = 0 (bicycle went from complete stop)
t = 5 seconds
a = (15 - 0) / 5
a = 15 /5
a = 3 meters per seconds squared
The bicycle is travelling at an acceleration of 3 meters per seconds squared
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The Gourmand Cooking School runs short cooking courses at its small campus. Management has identified two cost drivers it uses in its budgeting and performance reports—the number of courses and the total number of students. For example, the school might run two courses in a month and have a total of 62 students enrolled in those two courses. Data concerning the company’s cost formulas appear below:
Fixed Cost per Month Cost per Course Cost perStudent
Instructor wages $ 2,970
Classroom supplies $ 310
Utilities $ 1,230 $ 65
Campus rent $ 4,900
Insurance $ 2,400
Administrative expenses $ 4,000 $ 46 $ 4
For example, administrative expenses should be $4,000 per month plus $46 per course plus $4 per student. The company’s sales should average $890 per student.
The company planned to run four courses with a total of 62 students; however, it actually ran four courses with a total of only 52 students. The actual operating results for September were as follows:
Actual
Revenue $ 52,280
Instructor wages $ 11,160
Classroom supplies $ 19,070
Utilities $ 1,900
Campus rent $ 4,900
Insurance $ 2,540
Administrative
expenses $ 3,858
Answers
Answer:
whats the question
Step-by-step explanation:
The operating profit for September was $168,418.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the given information, we can calculate the following:
Total fixed cost per month.
= Instructor wages + Classroom supplies + Utilities + Campus rent + Insurance + Administrative expenses
= $2,970 + $310 + $1,230 + $4,900 + $2,400 + $4,000
= $15,810
Variable cost per course.
= Cost per course for utilities + Cost per student for administrative expenses
= $65 + $4 = $69
Variable cost per student
= Sales revenue per student - Total variable cost per student
= $890 - $69
= $821
Using the planned number of courses and students, we can calculate the expected revenue:
Expected revenue.
= Planned number of courses x Planned number of students x Sales revenue per student
= 4 x 62 x $890 = $221,120
Using the actual number of courses and students, we can calculate the actual revenue and costs:
Actual revenue
= Actual number of courses x Actual number of students x Sales revenue per student
= 4 x 52 x $890
= $184,640
Total variable cost
= (Variable cost per course x Actual number of courses) + (Variable cost per student x Actual number of students)
= ($69 x 4) + ($4 x 52)
= $412
Total cost
= Total fixed cost + Total variable cost
= $15,810 + $412
= $16,222
Operating profit
= Actual revenue - Total cost
= $184,640 - $16,222
= $168,418
Therefore,
The operating profit for September was $168,418.
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A 2\frac{1}{2}2 2 1 -inch candle burns down in 10 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.
Answers
The equation that represents the length of the candle over time will be b = -0.25t.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A 2 ¹/₂ inches candle torches in 10 hours.
Let 'b' be the length of the candle and 't' be the number of hours. Then the equation is given as,
b = -[(2 ¹/₂) / (10)]t
b = -0.25t
The equation that represents the length of the candle over time will be b = -0.25t.
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1. How many games did each team play? The men played
Answers
Kevin bought a desk on sale for $280.80. This price was 36% of the original price.
What was the original price?
Answers
The original price of desk bought by kevin is $780.
What is original price?
To calculate the initial worth of a reduced or sale item, you wish to grasp the sale worth and also the discount proportion. The calculations embody an easy formula that divides the sale worth by the results of one minus the discount in proportion form.
Main body:
Let the original price of desk be x.
After sale price of desk - $280.80
According to question, 36% of original price is what kevin bought it for.
So the equation formed is,
⇒36% of x = 280.80
⇒0.36*x = 280.80
⇒x = 280.80/ 0.36
⇒x = $780
Hence the original price of desk is $780.
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the set of the sets of odered pairs shown represents a function of f. {(-5,3), (4,9), (3,-2). give an orderd pair that could be added to the set so that it remains a function
Answers
The three ordered pairs that could be added to the set so that f remains a function is D) (-3, -2), (1, 6), and (2, 3)
How to get the ordered pairs?We are told that the displayed set of ordered pairs represents a function f.
{(-5,3),(4,9),(3,-2),(0,6)}
We must determine which three ordered pairs can be added to the set while the function remains unchanged. It is a mapping between elements of two sets A and B, with each element of set A uniquely mapped to each element of set B.
Alternatively, we can say that each element has only one image. For D,(-3,-2),(1,6) and (2,3) (2,3)
The image of f -3 is -2.
The image of one is six.
3 is the image of 2
It is correct because each element has a unique image while maintaining the same function.
As a result, option D is correct.
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Complete question
The set of ordered pairs shown represents a function f. {(-5, 3), (4, 9), (3, -2), (0, 6)} Which three ordered pairs could be added to the set so that f remains a function? a. (-3, -2), (4, 0), and (0, -1) B) (1, 6), (2, 3), and (-5, 9) C) (4, 0), (0, -1), and (-5, 9) D) (-3, -2), (1, 6), and (2, 3)
Jacob held different part-time jobs during his summer holiday. The table below shows the total money he earned for different amounts of time, in hours.
What type of association will the scatter plot for this data represent between the number of hours worked and the total money earned?
1. A positive nonlinear association
2. A positive linear association
3. A negative nonlinear association
4. A negative linear association
Answers
Given the table on the total money earned, the type of association the scatter plot would represent is 2. A positive linear association
What is a positive linear association?When two variables are said to have a positive linear association, it means that they move in the same direction together. When one of them increases, the other increases as well. It also means that they are increasing by a uniform amount. For instance, when one variable increases by 3, the other increases by 6, always.
The hours worked here are increasing as well as the money earned by Jacob. The hours worked is increasing by 1, and the money earned is increasing by 4. This is therefore a positive linear association.
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PLEASE HELP ME ON THIS LOL I CAN'T FIGURE IT OUT
Answers
The equation of a line perpendicular to the line 2x - 5y = 5 is 10x + 4y = 3.
How to find equation of a line?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptThe product of the slope of perpendicular lines is equals to negative 1.
Therefore, the slope of the equation 2x - 5y = 5.
Hence,
2x - 5y = 5.
2x - 5 = 5y
y = 2 / 5 x - 1
Therefore, the slope is 2 / 5. Therefore, the slope of the equation will be - 5 / 2.
using
y = - 5 / 2 x + b
Hence, the equation is 10x + 4y = 3.
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33 is 15 less than k
Answers
+15
48 = K
K = 48
Hunter bought 3 chicken wings for $6.60. How much does each wing cost?
Answers
Answer:
$2.20
Step-by-step explanation:
6.6/3=2.2
$6.60/3 as there’s 3 wings = to $6.60
= $2.20
Determine if the expression r - 5√r+r² is a polynomial or not. If it is a
polynomial, state the type and degree of the polynomial.
Answers
The expression r - 5√r+r² is a polynomial.
What is a polynomial?
Mathematical expressions called polynomials have one variable and many exponents.
The algebraic expression must have all of its exponents be non-negative integers in order for it to be a polynomial. As a general rule, an algebraic expression isn't a polynomial if it contains a radical.
No part of an algebraic expression should be - Variables' square roots. variable powers that are fractional. variable powers that are negative. variables in any fraction's denominator.
Exponents, variables, and constants make up a polynomial. The amount of terms a polynomial has determines its name.
Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
The idea of the graph of a polynomial equation was first introduced by René Descartes in La géometrie, published in 1637.
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The expression r-5√r+r² is a polynomial. A polynomial is made up of variables, constants, and exponents.
Explain about the polynomial?Polynomials are mathematical expressions with one variable and several exponents.
The algebraic expression is a polynomial if and only if all of its exponents are non-negative integers. In general, if an algebraic expression contains a radical, it isn't a polynomial.
An algebraic expression should not contain any square roots of variables. fractional powers that are changeable. variable powers with negative powers. variables in the denominator of any fraction.
A polynomial is made up of variables, constants, and exponents. A polynomial's name is determined by the number of terms it contains.
There are numerous types of polynomials. respectively a monomial, a binomial, and a trinomial.
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What are the answers to 3, 4, and 5? Thank you.
Answers
The missing terms in the two column proof are;
Reason 4; Opposite Angles
Reason 5; AAS Congruency Postulate
How to carry out two column proof of triangles?From the given image, we want to use the two column proof to prove that ΔAEC ≅ ΔDEB.
Now, we have the two column proof as follows;
Statement 1; AC ║ BD
Reason 1; Given
Statement 2; AC ≅ BD
Reason 2; Given
Statement 3; ∠ACE ≅ ∠DBE
Reason 3; Alternate angles
Statement 4; ∠AEC ≅ ∠BED
Reason 4; Opposite Angles
Statement 5; ΔAEC ≅ ΔDEB
Reason 5; AAS Congruency Postulate
The final proof is AAS Congruency postulate because it has 2 congruent angles and the non-included congruent side.
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HOW DO YOU SEE IT?. You and your friend go running. The graph shows the distances you and your friend run.
Answers
From the graph,
a. Friend runs at constant rate because of the straight line graph
b. the domain of the function representing your run 0 ≤ x ≤ 60
the domain of the function representing your friend's run 0 ≤ x ≤ 60
How to determine who runs at a constant rateThe graph of a straight line shows that the variables are constantly varying hence the graph that has a straight line which is your friend's graph is the graph at constant rate.
The domain of the functionThe domain is controlled by the x direction, it consist of all the values that the s coordinate ca get to
The graph shows that both you and your friend has similar x coordinate and will have same domain
The x coordinate from the beginning of the graph is at 0. At the end it is at at point 60
point 60 is not marked but reading the graph it can be deduced that the last line is point 60. hence the domain is 0 ≤ x ≤ 60
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Select the correct answer.
Consider the function given below.
f(x) = lx-5l +2
Which of the following statements about the y-values of the graph of the function is true?
A. The y-values are all greater than or equal to 5.
B. The y-values are all greater than or equal to 2.
C. The y-values are all less than or equal to 2.
D. The y-values are all less than or equal to 5.
Answers
Step-by-step explanation:
the list of your answer options has a different sequence than the picture.
I assume the picture shows us the correct sequence.
the correct answer is
D : the y-values are all greater than our equal to 2
why ?
because the term in absolute value can only go down to 0 but not below. it is an absolute value after all : it is always positive (minimum 0), no matter what.
so, the minimum value of the function is 0 + 2 = 2. it cannot get lower than this.
Which equation represents a line which is parallel to the line y = -2x - 7?
Answers
y = -2x is line parallel to given line.
What is line?
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that are endlessly stretched in the opposing directions.
Main body:
The slope-intercept form is
y=mx+b, where
m is the slope and b is the y-intercept.
y=mx+b
Using the slope-intercept form, the slope is −2.
m=−2
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope −2 and a given point (0,0) to substitute for
x₁ and y₁ in the point-slope form
y−y₁=m(x−x₁)
, which is derived from the slope equation
m=(y₂−y₁)/(x₂−x₁).
y−(0)=−2*(x−(0))
Simplify the equation and keep it in point-slope form.
y+0=−2⋅(x+0)
Solve for y.
y=−2x
Hence y = -2x is line parallel to given line.
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If q is 2.00 what is the distance from C to A?
Answers
Answer: 4.00
Step-by-step explanation:
If the q is 2.00 A to C is double the q. So, 2.00x2= 4.00.
Answer:
AC = 4.00Step-by-step explanation:
Given is a parallelogram.
One of the properties of a parallelogram is its diagonals bisect each other.
It gives us:
AC = 2qAC = 2*2.00 = 4.00what digitis in the ten thousands place of 8,675,309
Answers
A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is
C = 1,780 + 7x,
and the total revenue R (in dollars) is
R = 14x.
Find the profit (in dollars) obtained by selling 275 T-shirts per day.
Answers
Answer:
The profit from selling 275 shirts is 3,995
Step-by-step explanation:
P= R-C
P=14x- (1,780+7x)
since we are producing 275 shirts substitute that for x
P=14(275)-1,780+7(275)
P=3850-1780+1925
P=2070+1925
P=3995
Can you please help and finish with steps by 8/11/2022 PLEASE !
Answers
Answer:
squares: 1, 36, 64, 289, 324cubes: 1, 64, 125, 216, 512Step-by-step explanation:
You want lists of the perfect squares and perfect cubes from the set {1, 36, 64, 98, 125, 216, 289, 324, 480, 512}.
Perfect squaresA "perfect square" is the square of an integer, the value obtained by multiplying the integer by itself.
Squares of numbers 1–10 are ...
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
And from 11–20:
121, 144, 169, 196, 225, 256, 289, 324, 361, 400
The squares on your list are 1, 36, 64, 289, 324.
Perfect cubesA "perfect cube" is the cube of an integer, the value obtained by using the value 3 times as a factor in a product. (n³ = n×n×n)
Cubes of numbers 1–10 are ...
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
The cubes on your list are 1, 64, 125, 216, 512.
__
Additional comment
Any integer to the 6th power will be both a perfect square and a perfect cube. The integers 1 = 1⁶, 64 = 2⁶, and 729 = 3⁶ are such numbers.
in need of help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
2 pairs of parallel sides
A hexagon has exterior angle measures of (7n + 3), (10n-17)°,
(8n - 16), (4n+17), (-n + 16), and (5n - 6)°.
Find the value of n.
Answers
Using the sum of exterior angle, the value of n is 11.
In the given question,
A hexagon has exterior angle measures of (7n + 3), (10n-17), (8n - 16), (4n+17), (-n + 16), and (5n - 6)°.
We have to find the value of n.
As we know that the sum of exterior angle of any polygon is equal to 360°.
As the given measures are (7n + 3), (10n-17), (8n - 16), (4n+17), (-n + 16), and (5n - 6)°.
So we can find the value of n by adding the all measures.
So the expression should be
(7n + 3) + (10n-17) + (8n - 16) + (4n+17) + (-n + 16) + (5n - 6)° = 360°
Simplifying the bracket.
7n + 3 + 10n-17 + 8n - 16 + 4n+17 - n + 16 + 5n - 6 = 360°
Solving the expression by solving the same term
(7n+10n+8n+4n-n+5n)+(3-17-16+17+16-6)= 360°
33n-3 = 360°
Add 3 on both side
33n-3+3 = 360°+3
33n = 357°
Divide by 33 on both side
33/33 n= 363°/33
n = 11
Hence, the value of n is 11.
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The pH of solution measures its acidity and can be determined using the formula pH= -log(base of 10 )C, where is the concentration of hydronium ions in the solution. measured in moles per litre .A lower pH indicates a more acidic solution.
Determine whether the unknown liquid is more or less acidic then the coffee ( pH=-4.886)
if that liquid has 10 times the concentration ions of the coffee.
Answers
The pH of the liquid which is 3.886 indicates that it is more acidic than coffee.
What is the pH of a solution?The pH of a solution gives a measure of the concentration of hydronium ions in the solution, and therefore, indicates the level of acidity or basicity of the solution.
pH = -㏒₁₀CpH values ranges from 0 to 14, with solutions that are more acidic having a pH of less than 7, while basic solutions have a pH of more than 7.
The given pH of coffee = -4.886
The concentration of the liquid = 10 × The concentration of the ions in coffee
Which gives;
-㏒₁₀C = 4.886
Concentration of the hydronium ions in coffee, C = [tex]10^{(-4.886)}[/tex]
Concentration of ions in the unknown liquid = 10 × [tex]10^{(-4.886)}[/tex] = [tex]10^{(-3.886)}[/tex]
pH of the unknown liquid = [tex]-log_{10} \left(10^{(-3.886)}\right) = 3.886[/tex]
The pH of the unknown liquid indicates that it is more acidic than coffee
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Use the pie chart to answer the following questions:
STEP
1. How many studer ts would you expect to like Comedy in a class of 300
2. How many students would you expect to like Action in a class of 400?
3.How maby studeptstwould you expect to like Romance in a class of 350?
4. How many students would you expect to like Foreign in a class of 225?
5. How many students would you expect to like Horror in a class of 200?
6. How many students would you expect to like Science Fiction in a class of 175?
Comedy 27%
Action 18%
Romance 14%
Drama 14%
Horror 11%
Foreign 8%
Science 8%
fiction
Answers
1. The number of students like Comedy in a class of 300 are 81.
2. The number of students like Action in a class of 400 are 72.
3. The number of students like Romance in a class of 350 are 49.
4. The number of students like Foreign in a class of 225 are 18.
5. The number of students like Horror in a class of 200 are 22.
6. The number of students like Science friction in a class of 175 are 14.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The pie chart is,
Comedy 27%
Action 18%
Romance 14%
Drama 14%
Horror 11%
Foreign 8%
Science 8%
Now,
1. The number of students like Comedy in a class of 300 are;
= 27% of 300
= 27/100 x 300
= 81
Thus, The number of students like Comedy in a class of 300 are 81.
2. The number of students like Action in a class of 400 are;
= 18% of 400
= 18/100 x 400
= 72
Thus, The number of students like Action in a class of 400 are 72.
3. The number of students like Romance in a class of 350 are;
= 14% of 350
= 14/100 x 350
= 49
4. The number of students like Foreign in a class of 225 are;
= 8% of 225
= 8/100 x 225
= 18
5. The number of students like Horror in a class of 200 are;
= 11% of 200
= 11/100 x 200
= 22
6. The number of students like Science friction in a class of 175 are;
= 8% of 175
= 8/100 x 175
= 14
Thus, 1. The number of students like Comedy in a class of 300 are 81.
2. The number of students like Action in a class of 400 are 72.
3. The number of students like Romance in a class of 350 are 49.
4. The number of students like Foreign in a class of 225 are 18.
5. The number of students like Horror in a class of 200 are 22.
6. The number of students like Science friction in a class of 175 are 14.
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PLS PLS PLS HELP!!!!!
Answers
The triangle in option (a) is an equilateral triangle in option (b) is isosceles and the triangle in option (c) is a scalene triangle.
What is a triangle?A triangle is a 3-sided shape occasionally referred to as a triangle. Every triangle has three sides and three angles, some of which may be the same.
An equilateral triangle is a triangle whose all sides are equal.
As below the triangle in option (a) with the purple marks has all sides are same thus it will be equilateral.
An isosceles triangle is a triangle whose two sides are the same.
In option (b) triangle the (blue marked) has two equal sides thus it will be isosceles.
A scalene triangle is a triangle with all unequal lengths in option (c) (green mark) all sides are unequal.
Hence "The triangle in option (a) is an equilateral triangle in option (b) is isosceles and the triangle in option (c) is a scalene triangle".
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Aisha runs a tutoring business. With Plan 1, students may choose to pay $15 per hour. With Plan 2, they may follow the plan shown on the graph.
Answers
The student pay initial fess of $20 and addition $10 per hour.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Plan 1:
students pay = $15 per hour.
Plan 2:
From the graph we can see that
slope= Rise/ Run = 10/ 1= 10
and, the graph line starts from 20.
Hence, the student pay initial fess of $20 and addition $10 per hour.
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Are the figures congruent?