Question

people keep putting nonsense answers on my questionsomeone plsss help me. the answer is y=2x+16 and y=-2x-20

Answer 1

Answer:

$y=(x+8)(x+10)=x^2 + 18x + 80$

$\frac{dy}{dx} = 2x + 18$

$y=0$ when $x=-8$ and $x=-10$

so the tangent slopes are $\frac{dy}{dx} = 2$ and -2 at those x.

The lines are y = 2x + b and y = -2x + c.

We need to find b and c.

The first line must go through (-8,0) and the second one through (-10,0).

For the first line: 0 = 2*(-8) + b and b = 16.

For the second line: 0 = -2*(-10) + c and c = -20.

Step-by-step explanation:

I have  bunch of videos on calculus on my "Sciency Sergei" you tube channel. You are welcome to stop by :).