Answer:
<h2>y = 4x + 4</h2>
Step-by-step explanation:
The slope-intercept form:

m - slope
b - y-intercept
Parallel lines have the same slope.
We have y = 4x + 2 → m = 4.
The slope of parallel line is m = 4 and the y-intercept b = 4.
Therefore we have the equation of a line:

a.) The height of the closet is 96 inches, and you want to have 4 rows, so you divide the total height 96 by 4
96 ÷ 4 = 24
So each cube organizer can be a height of 24 inches since it divides out evenly
b.) Each shoe box is 4 1/2 inches, because there are 3 boxes that are stacked on top of each other, you can multiply 4 1/2 by 3, or you can do 4 1/2 + 4 1/2 + 4 1/2.
4 1/2 + 4 1/2 + 4 1/2 = 12 3/2 = 13 1/2
The total height of the 3 boxes is 13 1/2
Answer:
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We need to see the image in order to help you
Given:
arithmetic progression
a₁ = 3
a₂ = x
a₃ = y
a₄ = 18
Solution:
The arithmetic progression has general formula to determine nth term
a₁ + d(n - 1) = an
a₁ represents first term, d represents difference, n represents number of terms, an represents nth term
First we should find out the value of d, by submitting a₄ to the formula
a₁ + d(n - 1) = an
a₁ + d(4 - 1) = a₄
3 + d(3) = 18
3 + 3d = 18
3d = 15
d = 5
The difference of the sequence is 5
Second, determine x and y
x = a₂
x = a₁ + d(2 - 1)
x = 3 + 5(1)
x = 8
y = a₃
y = a₁ + d(3 - 1)
y = 3 + 5(2)
y = 13
The value of x is 8, the value of y is 13