Answer:
y+6 =-2(x-5)
Step-by-step explanation:
The question is asking for the equation of the line
The equation for point-slope form is always written as y-y₁=m(x-x₁)
y₁ and x₁ are the points given to you in this order (x₁, y₁)
so x₁=5 and y₁=-6
Now you plug in all the numbers you have into the point slope form
y- (-6)= -2(x-5)
When you subtract a negative (a double negative you get a positive)
y+6=-2(x-5)
Point-Slope form is usually the easiest form of a line to write since you do not need to solve for any intercepts or other points. You have y on one side of the equation, usually the left to make it easier to read, and x on the other, usually the right.You subtract the point that you are given from the y and the x. Multiply everything that is on the same side of the equation of the x by the slope (m).
Notes:
For y₁ and x₁, they could be any point on the line. For example, (1,2) is also on this line. So the equation would be
y-2=-2(x-1)
A line passes through the points (–5, –4) and (0, 4). What is its equation in slope-intercept form?
Considering the expression of a line, the equation of the line that passes through the pair of points (-5,-4) and (0,4) is y=8/5x + 4.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:
m= (y₂ - y₁)÷ (x₂ - x₁)
Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, the value of the ordinate to the origin b can be obtained.
Equation in slope-intercept form in this caseBeing (x₁, y₁)= (-5, -4) and (x₂, y₂)= (0,4), the slope m can be calculated as:
m= (4 - (-4))÷ (0 - (-5))
m= (4 + 4)÷ (0 +5)
m= 8÷ 5
m= 8/5
Considering point 2 and the slope m, you obtain:
4= 8/5×0 + b
4= 0 +b
4= b
Finally, the equation of the line is y=8/5x + 4.
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Show me how to graph this by using key points step by step please and I will give you brainliest!
g(x)=log(6-3x)+1
Answer:
136-5x
Step-by-step explanation:
We write numbers using only the digits 1,3,6 and 9 and arrange them in order. Our list begins 1,3,6,11,13,16,19,31,33 and so on. How many numbers do we write which are smaller than 2022?
Step-by-step explanation:
you made a typo.
since we are using only the digits 1, 3, 6 and 9, the list has to start
1, 3, 6, 9, 11, 13, 16, 19, 31, 33
it has to continue with
36, 39
we can skip the 40s and 50s and have then
61, 63, 66, 69
we can skip the 70s and 80s and have then
91, 93, 96, 99
that means we have 20 (5×4) numbers for the first 100.
we would have the corresponding 20 numbers in the 100s. like 101, 103, ...
but we have to skip 101, 103, 106, 109, because they contain 0.
so, it is only 16 numbers in the 100s.
there are none in the 200s.
then again 16 in the 300s. and the 600s and 900s.
so, we have
20 + 4×16 = 84 numbers in the first 1000.
then we have
16 in each the 1100s, the 1300s, the 1600s and 1900s.
and we have none in the 2000s.
so, in total we have
84 + 4×16 = 84 + 64 = 148 numbers to write.
Please help geomatry 9th grade
The statements that are a result of corresponding parts of congruent triangles being congruent are:
EFGH has four congruent sidesDiagonal FH is perpendicular to side FEAngle FEH is congruent to angle FGHWhat is an isosceles triangle?An isosceles triangle is a type of triangle with two equal sides and angles. The other types of triangle includes;
Equilateral triangleRight angle triangleScalene triangleFrom the figure;
Sides EFGH are congruent, that is, equal
Since Sides EFGH are congruent, it can not be a rectangle, it is a square.
Triangle FGH and FEH are both isosceles triangle.
Diagonal FH bisects triangle FGH and FEH
So therefore, the isosceles triangle FGH and FEH are congruent and bisected by diagonal FH.
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The proof below may or may not be correct. If the proof is incorrect, determine the
first step number that is not justified and the reason it is not justified.
Answer:
Step-by-step explanation: step 5
they have not proved the ASA postulate i.e. they the are missing a step to proove angle BEF = angle CED (Verticle angles)
so, correct answer is step number 5 and reason 'missing prior step'
You spent less than $75. They purchased three pitchers of soda for $12.99 and pizzas for $6 each. How
many pizzas could the group purchase?
Answer:
6 pizzas
Step-by-step explanation:
12.99 times 3 which is the 3 pitchers of soda is 38.97
38.97 subtracted from 75 which is our total amount is 36.03
36.03 which is what we have left divided by 6 since each pizza is 6$ is 6.
Charlie wants to solve the equation -1/4(x-1) =2/3 x +2. Which step would not be an appropriate first step for Charlie to take to solve for x?
The first step Charlie should use to solve the equation will be to open the bracket on the left side of the equation.
How to solve an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
The equation Charlie wants to solve can be calculated as follows:
-1/4(x - 1) =2/3 x +2
The first step would be to open the parenthesis on the left side of the equation as follows:
-1/4(x - 1) =2/3 x +2
- 1 / 4 x + 1 / 4 = 2 / 3 x + 2
Let's subtract 1 / 4 from both sides of the equation
- 1 / 4 x + 1 / 4 = 2 / 3 x + 2
- 1 / 4 x + 1 / 4 - 1 / 4 = 2 / 3 x + 2 - 1 / 4
- 1 / 4 x = 2 / 3 x + 7 /4
subtract 2 / 3 x from both sides of the equation.
- 1 / 4 x = 2 / 3 x + 7 /4
- 1 / 4 x - 2 / 3 x = 2 / 3 x - 2 / 3 x + 7 /4
- 11 / 12 x = 7 / 4
cross multiply
-44x = 84
divide both sides by - 44
x = 84 / -44
x = - 21 / 11
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What is the equation of the line containing the points (5, 2), (10, 4), and (15, 6)?
A. y = 2/5x
B. y = x - 3
C. y = 1/5x + 1
Answer: A
Step-by-step explanation:
how many whole numbers lie between
[tex] \sqrt{8} \: and \: \sqrt{80} [/tex]
Describe the characteristics of each set of numbers
that make up the set of integers.
Numerous other sorts of numbers exist, including natural, whole, rational, real, and integers. Positive and negative numbers, but not decimals or fractions, make up the category of integers.
Q What are integers in mathematics?
ANS An integer is a whole number without any fraction or decimal part.
The traits of each group of numbers are as follows:
Negative numbers are those that are less than zero.The set of integers includes zero.Numerical categories cross over one another.Integers must be written with an ellipsis ("") and inside a bracket ({}).Use a number line when adding or subtracting numbers.how could we determine the input value of t when W(t)=15 and the rule for function w is 2t+5
(x³-15)+(x-1) Divide using synthetic division
The quotient is x²+x+1 - 14/(x-1) after divide x³-15 by x-1.
What is synthetic division?
In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.
The divisor is x - 1.The dividend is (x³-15).
Step 1:Take the constant term of the divisor with the opposite sign and write it to the left.
Write the coefficients of the dividend to the right (missed terms are written with zero coefficients).
Step 2:Write down the first coefficient without changes:
Step 3:Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
Step 4:Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).Add the obtained result to the next coefficient of the dividend, and write down the sum
Step 5:Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).Add the obtained result to the next coefficient of the dividend, and write down the sum.
We have completed the table and have obtained the following resulting coefficients: 1,1,1,−14.
All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.
The quotient is x²+x+1 and the remainder is -14.Therefore (x³-15)÷(x-1) = x²+x+1 - 14/(x-1)
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A dilation with scale factor 0.25 is performed on triangle 1 to produce triangle 2. Which statement MUST be true about the two triangles?
O Their corresponding sides have equal lengths, and their corresponding angles have equal measures.
• Their corresponding sides are parallel, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.
O Their corresponding sides are parallel, and their corresponding angles have equal measures.
O Their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.
The correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.
What is property of similar triangle?
If the corresponding sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are similar.
They have parallel corresponding sides, and they have angles with the same measure.
hence, the correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.
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how to find 3 to the power of x equals 2187?
i need a step by step detail on how to solve it.
Answer: [tex]x=7[/tex]
Step-by-step explanation:
[tex]3^x=2187\\\\x=\log_{3} (2187)\\\\x=7[/tex]
what is the factored form 8g^2+6g-9
Answer:
A.
Step-by-step explanation:
The table of ordered pairs (x, y) gives an exponential function.
Write an equation for the function.
X
-1
0
1
2
y
1
3
2
12
72
The equation for the function of the ordered pair is y =10x+2.
What is equation for the function?
An equation that has one solution for y for each value of x is referred to be a function. For each input of a particular type, a function assigns precisely one output. The names f(x) or g(x) are frequently used in place of y when naming functions. If our function's value is f(2), then we should calculate its value when x=2. Each functional equation contains some information about a function or several functions. An illustration of a functional equation is f (x) f (y) = x y, f(x) f(y) = x y.
Here in given order pair , let us take any two points,
[tex](x_1,y_1)=(0,2)\\(x_2,y_2)=(1,12)[/tex]
Now using slope formula,
=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> slope m =10/1 = 10
Now using equation formula,
=> [tex]y-y_1=m(x-x_1)[/tex]
=> y-2 =10(x-0)
=> y-2 = 10x
=> y=10x+2.
Therefore equation of the following order pair is y = 10x+2.
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help meeeeee pls bro
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.
The scale factor in the simplest form of a fraction of the triangles will be 43/78.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
The triangle on the right is a scaled duplicate of the triangle on the left.
The ratio of the side of a big triangle to the side of a small triangle. Then we have
Scale factor = 43 / 78
The scale factor in the simplest form of a fraction of the triangles will be 43/78.
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What fraction of their goal did the sixth graders reach after day 2? day 4? day 6? day 8? day 10?
The fractions of sixth graders that reached their goal after each day are given as follows:
Day 2: 1/4.Day 4: 1/3.Day 6: 1/2.Day 8: 2/3.Day 10: 3/4.What is a fraction?A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:
Fraction = x/y.
In which the technical terms related to x and y are as follows:
x, which is the top term of the fraction, is the numerator.y, which is the bottom term of the fraction, is the denominator.The fraction can be represented by bars, in which:
The number of painted bars is the numerator.The total number of bars is the denominator.As shown by the image at the end of the answer, the fractions are given as follows:
Day 2: 1 out of 4 bars painted, hence the fraction is of 1/4.Day 4: 1 out of 3 bars painted, hence the fraction is of 1/3.Day 6: 1 out of 2 bars painted, hence the fraction is of 1/2.Day 8: 2 out of 3 bars painted, hence the fraction is of 2/3.Day 10: 3 out of 4 bars painted, hence the fraction is of 3/4.Missing InformationThe image is given at the end of the answer.
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3. Consider the right triangle below in which a = 5 and b = 5.
A. Use the Pythagorean Theorem to solve for c.
Show your work!
B. What is the value of c rounded to the nearest hundredth?
C. What is the value of c in simplified radical form?
Answer:
Consider the right triangle below: State the Pythagorean Theorem as it relates to the above triangle. List the trig identities as they relate to the triangle above. Now suppose hypotenuse C represents a vector R, while sides B and A represent vector components Rx and Ry respectively. Redraw the triangle with the new labels below. Using Pythagorean Theorem, derive the equation for R.
If a1=9 And an= 4an-1 then find the value of a5
If a₁ = 9 and aₙ = 4 + (aₙ - 1) in an arithmetic sequence, then the value of fifth term a₅ is equal to 25.
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.From the information provided, we know that the common difference is equal to 4.
Substituting the given parameters into the formula, we have;
a₅ = 9 + (5 - 1)4
a₅ = 9 + 4(4)
a₅ = 9 + 16
a₅ = 25
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Complete Question:
If a₁ = 9 and aₙ = 4 + (aₙ - 1), then find the value of a₅.
Help please i beg of you guys.
Answer: Answer B: m angle 5 = 152 because m angle 2 = m angle 5
Step-by-step explanation: im in 8th grade math in 7th grade
Select the two values of x that are roots of this equation. 2x2 – 11x + 15 = 0
A.x=3
B.x=6
C.x=5
D.x=5/2
The two values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)
What is a Quadratic equation ?
A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.
The given expression is ,
2x²– 11x + 15 = 0
Solve the equation and find roots
2x² - 6x - 5x + 15 = 0
Take common elements out
2x(x - 3) - 5(x - 3) = 0
we get the brackets same that means we're on right way,
(2x - 5) (x - 3) = 0
split the values into two and find values,
2x - 5 = 0 and x - 3 = 0
2x = 5 x = 3
x = 5 / 2
Hence, the values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)
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help me pleaseeeeeeeeeeeeeeeeee !!!!!!!!!!!!!!!!!!!!!!
help me pleaseeeeeeeeeeeeeeeeee !!!!!!!!!!!!!!!!!!!!!!
Answer:
Vertex: (-2, 3) Axis of symmetry: x = -2 The parabola opens downward.
Step-by-step explanation:
2(1 + 2k)
Simplify the expression... HELP
Answer:
2+4K
Step-by-step explanation:
distribute the 2
2(1+2k)
2(1)+2(2k)
2+4K
Hopes this helps please mark brainliest
I need the abswer to 20005+56258
76263
Step-by-step explanation:
[tex] \: \: \: 20005[/tex]
[tex] + 56258[/tex]
___________
[tex] = 76263[/tex]
Barney just bought stock in Purple Dinosaur Industries. He paid a total of $7,380. The price of the stock is $12 for one share. How many shares did he buy?
The number of shares he buy is $615.
Given that Barney just bought stock in Purple Dinosaur Industries and he paid a total of $7,380 and the price of the stock is $12 for one share.
We want to find the number of shares Barney buys.
The total amount barney should pay is $7380.
The price of the stock for one share is $12.
The total number of shares barney buy is 7380/12=615.
Hence, the number of shares barney should buy when he paid a total $7380 and the price of stock for one share is $12 is $615.
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Write equivalent fractions for 2/3 and 8/11 using the least common denominator.
Type the fractions, using a slash ( / ) to separate the numerator and denominator.
2/3 =
8/11 =
please give me the RIGHT answer immediately for the fractions using the least common denominator
The equivalent fraction for 2/3 and 8/11 is 22/33 and 24/33.
What is least common denominator?
The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.
Given fractions are
2/3 and 8/11
L.C.M of 3 and 11 is 33.
We get,
2/3 ×11/11 = 22/33
and
8/11×3/3 = 24/33
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Approximately how many feet tall is the streetlight
Answer:
H = 30 ft
Step-by-step explanation:
Since the triangle is 90 degrees and we have to find out how tall the streetlight is we have to subtract 90 and 40 degrees. Which we get 50 degrees, after we subtract 20 from the 50 degrees. So we get 30 ft or 30 degrees.
The sum of the angle measures of any triangle is 180°. Find the angle measures of a triangle if the second angle measures 7° less than twice the first, and the third angle measures 19° more than the second.
Answer:
first angle =35
second angle=63
third angle=82