A rectangular dog pen has an area of 64xy square units. The width is 4y. Write an expression for the length.
1 answer:
Answer:
An expression for the length is:
Step-by-step explanation:
Given
Area of a rectangular dog pen = A = 64xy square units
Width = w = 4y
To determine
The length = l = ?
We know that the area of a rectangular object is
A = l × w
where w is the width and l is the length of the rectangle.
substituting w = 4y and A = 64xy in the equation
Divide the numbers: 64/4 = 16
Cancel the common factor: y
Therefore, an expression for the length is:
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Answer:
Option A is correct.
The constant of variation is,
Step-by-step explanation:
The Direct variation says that:
if a vary directly to b then, the equation is of the form: a = kb where k is the constant of variation.
Given: if y varies directly as x.
By definition of direct Variation:
y = kx where is the constant of variation.
It is also given that: y = -3 and x =2
Solve for k;
-3 = 2k
Divide both sides by 2 we have;
Therefore, the constant of variation is,