Value: 2.
According to Hooke's Law, the force needed to stretch a spring is proportional to the distance the spring
is stretched. If a force of 180 newtons stretches a spring 6 cm, what is the direct variation equation for
this spring? If a force of 420 newtons was applied, what is the distance the spring will be stretched?
Select all answers that apply.
(mark all correct answers]
a. F =6x
b. F=30x
c. F= 70%
d. x=14
e. x=31.5
f. x=2.6

i those same problems in math and dont know how to do them

the correct answers are 1, 2, 4, and 5! i just got it right!

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