Answer:
W = X in.
L = (3x - 6) in.
A = L*W = (3x-6)X = 45,
3x^2 - 6x = 45
3x(x-2) = 45,
x(x-2) = 15,
x^2 - 2x - 15 = 0
(x-5)(x+3) = 0,
x-5 = 0,
x = 5 in.
x+3 = 0,
x = -3.
Solution Set: x = 5, and x = -3.
Select + value of X:
x = 5
W = x = 5 in.
L = 3x-6 = 3*5 - 6 = 9 in.
Step-by-step explanation:
Answer:
Range is between -7 and 8
-7<y<8
Step-by-step explanation:
Range means series of number between lowest and highest output(y-axis) of a function.
Notice on the graph, the lowest y you can get is -7 and highest is 8. Other numbers are in between.
Thus, the range is in between of -7 and 8.
Using the equation of the circle, it is found that since it reaches an identity, the point (√5, 12) is on the circle.
<h3>What is the equation of a circle?</h3>
The equation of a circle of center
and radius r is given by:

In this problem, the circle is centered at the origin, hence
.
The circle contains the point (-13,0), hence the radius is found as follows:



Hence the equation is:

Then, we test if point (√5, 12) is on the circle:


25 + 144 = 169
Which is an identity, hence point (√5, 12) is on the circle.
More can be learned about the equation of a circle at brainly.com/question/24307696
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Answer:
24.25 feet
Step-by-step explanation:
the solution to the given synthetic division will be expressed as 
<h3>Synthetic division of a polynomial</h3>
According to the given question, we are to divide (2x³ – 16x² + 37x – 26) by (x - 5)
2x^2 - 6x + 7
x - 5 | 2x³– 16x² + 37x – 26
2x³ - 10x²
__________
-6x² +37x
-6x² +30x
_______________
7x - 26
7x - 35
______________
9 - Remainder
Hence the solution to the given synthetic division will be expressed as:

Learn more on synthetic division here: brainly.com/question/24662212