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topjm [15]
3 years ago
12

write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.​

Mathematics
1 answer:
natita [175]3 years ago
7 0

Answer:

y = 4x + 3

Step-by-step explanation:

To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.

When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.

So far, the equation is y = 4x + b.

Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.

This would be:

-5 = 4 * -2 + b

-5 = -8 + b

3 = b

This means the equation is y = 4x + 3.

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1. Which inequality is true?<br>A.6 π &gt; 18<br>B.6 π &lt; 18<br>C.6 π = 18<br>D.18 &gt; 6 π<br>​
lilavasa [31]

Answer:

a

Step-by-step explanation:

a is the answer ..........

7 0
3 years ago
An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of rabbits is 5 less than one-h
Andrew [12]
This is the concept of algebra, suppose that the number of cats is x;
number of cats will be x-20
number of rabbits will be 3/2x
thus the total number of animals will be:
x+(x-20)+3/2x=350
7/2x=350+20
7/2x=370
x=370*2/7
x=105.7=106
therefore we conclude that there we 106 cats in the shelter
7 0
4 years ago
Maria is making a stained glass window in the form of a kite. the width of the window must be 15 in., and she only has enough st
NeTakaya
Kite Area = (Diagonal 1 * Diagonal 2) / 2
Diagonal 2 = 2 * Kite Area / Diagonal 1
Diagonal 2 =2 * 60 / 15
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Height = 8 inches


4 0
3 years ago
A _______ is a collection of values.
uranmaximum [27]

A data summation is a collection of values.

3 0
3 years ago
Find the remainder for the quotient using either substitution or synthetic division.
zaharov [31]

(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.

<h3>What is a factor of a polynomial?</h3>

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial function f(x) = x³ - x² - 17x -15.

If (x - 5) is it's factor then f(5) = 0.

∴ f(x) = x³ - x² - 17x -15.

f(5) = 5³ - 5² - 17(5) - 15.

f(5) = 125 - 25 - 85 - 15.

f(5) = 0.

So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.

learn more about factor of a polynomial here :

brainly.com/question/26354419

#SPJ1

7 0
1 year ago
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