09.08 Module Nine Review and Practice Test Algebra 1 / Module 09: Quadratic Functions
15. (09.02)
Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. (1 point)
O (x - 1)2 = 4
O (x - 2)2 = 1
O (x - 3)2 = 2
O (x - 4)2 = 3

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3

only one, 42

step-by-step explanation: