What is the vertex coordinate of f(x)= (x+7)(x-2)

(-2.5, -20.25)

Step-by-step explanation:

Easiest way is to find the x-coordinate of the vertex by finding the average of the roots.

x = (-7 + 2) / 2

x = -2.5

Then plug into f(x) to find the y-coordinate.

f(-2.5) = (-2.5 + 7) (-2.5 − 2)

f(-2.5) = -20.25

The vertex is at (-2.5, -20.25).

Another way to find the vertex is by completing the square:

f(x) = (x + 7) (x − 2)

f(x) = x² − 2x + 7x − 14

f(x) = x² + 5x − 14

f(x) = x² + 5x + ²⁵/₄ − ⁸¹/₄

f(x) = (x + ⁵/₂)² − ⁸¹/₄

The vertex is at (-2.5, -20.25).

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

step-by-step explanation:

what is the figure? attach a picture.