Answer:
x = 0, x = 3
Step-by-step explanation:
Given
- 4x² = - 12x ( add 12x to both sides )
- 4x² + 12x = 0 ← factor out - 4x from each term
- 4x(x - 3) = 0
Equate each factor to zero and solve for x
- 4x = 0 ⇒ x = 0
x - 3 = 0 ⇒ x = 3
Yes, I think the answer is y = 7. The line x = 4 runs vertical (because all of the points in that line have an x-value of 4) so any line that is perpendicular to it has to be horizontal. Any line that is horizontal is in the form y = (some number). In order for the new line to run through the point (5,7) it would have to have the same y-value as that point, which is 7. So the new line is y = 7. Hope this helps :) (P.S. try graphing them both if you need a visual.)
Answer:
The first option is the correct option
Step-by-step explanation:
From the question the slope AC is evaluated as


And the slope of line CB is mathematically evaluated as


Now for lines that are perpendicular to each other then the product of their slope should be equal to -1
So if

Then

i,e
![[\frac{b}{a+ c} ] [\frac{b}{a-c} ] = -1](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bb%7D%7Ba%2B%20c%7D%20%5D%20%5B%5Cfrac%7Bb%7D%7Ba-c%7D%20%5D%20%3D%20-1)
Graph B.
Because y< so shade underneath the line
And because it is less then not less than or equal to then the line is dashed.