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).

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

41*67/2=1373.5

step-by-step explanation:

i just used a calculator