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attashe74 [19]
2 years ago
13

WILL MARK BRAINLYIST

Mathematics
1 answer:
puteri [66]2 years ago
7 0
What are the options?
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What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept
ss7ja [257]

Answer:

y=-\frac{1}{2}x+\frac{3}{2}

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

  =(2-(-4))/(-2-1)

  =6/-3

  =-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-\frac{1}{2}x+3/2

8 0
3 years ago
Need help combining like terms
yaroslaw [1]

Answer:

-10x+7.5

Step-by-step explanation:

-2.5(4x-3)

Multiply each term by -2.5

-2.5 * 4x = -10x

-2.5 * 3 = 7.5

-10x + 7.5

7 0
3 years ago
Which expression can be used to find the area of a circle with a diameter of 80 cm?
ycow [4]
Its D............................
8 0
3 years ago
You can determine by the discriminant whether the solutions to the equation are real or _______ numbers.
True [87]
I think the answer would have to be complex
5 0
3 years ago
The sum of Ryann and Lori's ages is 96. Lori's age is<br> seven times Ryann's age. How old is Ryann?
Nata [24]

Answer:

R = 12

L = 84

Step-by-step explanation:

R + L =96

L = 7R

R = 1R

L = 7R

1 R + 7R = 8R

R = 12

L = 84

hope it helps,

5 0
2 years ago
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