Answer:
(x + 5) m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = (x² + 8x + 15) m²
Width (W) = (x + 3) m
Length (L) =?
The lenght of the rectangle can be obtained as follow:
A = L × W
x² + 8x + 15 = L (x + 3)
Divide both side by x + 3
L = x² + 8x + 15 / x + 3
L = (x + 5) m
Please attached photo for explanation.
Therefore, the length of the rectangle is: (x + 5) m
Answer:

Step-by-step explanation:
We were given the slope formula;

This line is vertical if the denominator is zero.
That is when 
This implies that;

Justification;
When
, then, the line passes through;
and 
The slope now become

The equation of the line is

This implies that;




... This is the equation of a vertical line.
Answer:
Step-by-step explanation:
<h3>Answer: D) center E, scale factor 1/4</h3>
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Explanation:
Point E is the center of the dilation (we can think of this as the origin point). This is because point E is in the same exact location as point E'. This is a fixed point. The other points move.
To find the scale factor, divide E'F' over EF
scale factor = (E'F')/(EF)
scale factor = 2/8
scale factor = 1/4
Keep in mind that EF = EF'+F'F = 2+6 = 8.