Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
Answer: 5/3
Step-by-step explanation:
(3/5)x = 12
(5/3)(3/5)x = (5/3)12
x = 20
Therefore, choose Option D: 5/3
Hope I helped! <3
The centroid of a triangle divides the median of the triangle into 1 : 2
The measure of FQ is 18, while the measure of TQ is 6
Because point T is the centroid, then we have the following ratio

Where FT = 12.
Substitute 12 for FT in the above ratio

Express as fraction

Multiply both sides by 12

This gives

Divide 12 by 2

The measure of FQ is calculated using:

Substitute 12 for FT, and 6 for TQ

Add 12 and 6

Hence, the measure of FQ is 18, while the measure of TQ is 6
Read more about centroids at:
brainly.com/question/11891965