The quadratic function y = -x2 + 10x - 8 models the height of a trestle on a bridge. the x-axis represents ground level. to find where the section of the bridge meets ground level, solve 0 = -x2 + 10x - 8. where does this section of the bridge meet ground level? choose an equation that would be used to solve 0 = -x2 + 10x – 8 (x + 25)2 = –8 (x – 5)2 = 17 (x – 10)2 = 25 solve the equation to find where the trestle meets ground level. enter your answers from least to greatest and round to the nearest tenth. the trestle meets the ground at units and units.

The trestle meets ground level at 0.9 units and 9.1 units

Step-by-step explanation:

∵ -x² + 10x - 8 = 0 ⇒ × (-1)

∴ x² - 10x + 8 = 0

∵ 10x/2 = 5x ⇒ (x) × (5) ⇒ square x is x² and square 5 is 25

By using completing square form

∴ (x² - 10x + 25) - 25 + 8 = 0

∴ (x - 5)² - 17 = 0

∴ (x - 5)² = 17 ⇒ take square root for both sides

∴ x - 5 = -√17 ⇒ x = -√17 + 5 = 0.9

∴ x - 5 = √17 ⇒ x = √17 + 5 = 9.1

∴ The trestle meets ground level at x = 0.9 and x = 9.1

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative