What’s the answer to 4(x-2)=x+10?

x = 6

Step-by-step explanation:

x = 6

Step-by-step explanation:

Distribute:

4(x - 2) = x + 10

4(x) +4(-2) = x + 10

Multiply:

4(x) +4(-2) = x + 10

4x + (-8) = x + 10

4x - 8 = x + 10

Add 8 on both sides:

4x - 8 = x + 10

    +8        +8

4x = x + 18

Subtract x on both sides:

4x = x + 18

-x     -x

3x = 18

Divide by 3 on both sides:

3x = 18

/3     /3

x = 6

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this