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N76 [4]
3 years ago
6

Write an equation of the line parallel to x+2y=-4 through the point (-8,5) show all work

Mathematics
1 answer:
scoundrel [369]3 years ago
4 0

Answer:

The equation of the parallel line would be y = -1/2x + 1

Step-by-step explanation:

To start we need to find the slope of the original  line. We can do that by solving for y.

x + 2y = -4

2y = -x - 4

y = -1/2x - 2

Since the slope of the original line is -1/2 and parallel lines have the same slope, we know the new line will also have -1/2 slope. Now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = -1/2(x + 8)

y - 5 = -1/2x - 4

y = -1/2x + 1

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( Identify the terms, their coefficients for each of the following expressions)​
sweet-ann [11.9K]

Answer:

i. terms = 5xy(z)^2 , -3zy

coefficient = 5 and -3

ii. terms = 1 , X ,x^2

coefficient = 1 , 1

iv. terms = 3 , -pq , qr, -rp

coefficient = -1 ,1 , -1

v. terms = X/2 , y/2 , -xy

coefficient= 1/2 ,1/2 and -1

7 0
3 years ago
What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?
Aleks [24]

The x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is (17, 11)

<h3>Midpoint of coordinate points</h3>

The midpoint of a line is the point that bisects or divides the line into two equal parts

If the line JK is partitioned into the ratio 1:4 with the following coordinates

J(-15, -5) and K(25, 15)

Using the expression below;

M(x, y) =[mx1+nx2/m+n, my1+ny2/m+n]

Substitute the ratio and the coordinates

M(x, y) =[1(-15)+4(25)/4+1, 1(-5)+4(15)/1+4]

M(x, y) = [(85)/5, 55/5]

M(x, y) = (17, 11)

Hence the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is ((17, 11)

Learn more on midpoint of a line here: brainly.com/question/5566419

#SPJ1

3 0
2 years ago
Evaluate for given value: m x 4/5 for m = 7/8
Ray Of Light [21]
(7/8)*(4/5)=(7/(4*2))*(4/5) =7/10, you can write it also as 0.7
8 0
3 years ago
Please help! Correct answers only please!
Maurinko [17]

Answer:

B. is your answer

Step-by-step explanation:

V=whl=7·6.5·7=318.5

8 0
3 years ago
How do you calculate this?<br> Help
GenaCL600 [577]

V = s^3 for a cube

V = (3.5 * 10^-2) ^3

  the numbers are cubed and the exponents are multiplied

V = (3.5)^3 *10^(-2*3)

V= 42.875 * 10^-6  m^3


3 0
3 years ago
Read 2 more answers
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