In order to solve this we must first,
Subtract both sides of the equation by 10,
y-10=1/2x
Now we have to multiply both sides by 2 so that only x is left.
2y-20=x
Therefore, x=2y-20
#5)
14/4 = 3.5
24.5 / 7 = 3.5
The pair is similar and SF = 3.5
#6)
10/4 = 2.5
21/9 = 2.3333
The pair is not similar because the corresponding sides are not proportional.
Let x = the width
then
2x = the length
:
The box dimensions: 2x by x by 4
Given the surface area:
2(2x*x) + 2(2x*4) + 2(x*4) = 220
:
4x^2 + 16x + 8x = 220
A quadratic equation:
4x^2 + 24x - 220 = 0
simplify, divide by 4
x^2 + 6x - 55 = 0
Factor
(x+11)(x-5) = 0
The positive solution is what we want here:
x = 5 ft is the width
then
2(5) = 10 ft is the length
:
Find the volume
10 * 5 * 4 = 200 cu/ft is the volume
Answer:
x₁ = - 5, x₂ = 5
Step-by-step explanation:
x^2 + 3 = 28
x^2 = 28 - 3
x^2 = 25
x = ± 5
x = - 5
x = 5
