<h3>
Answer:</h3><h3>X = 10</h3>
Step-by-step explanation:
Answer: center is (-4,2) radius is 4
Step-by-step explanation:
Equation of circle
is (X-A)^2+(X-B)^2=r^2
The center Of The circle is (A, B)
The radius Of The circle is r
Comparing the given equation and the equation of a circle we get the center Of The circle as (-4,2) and then radius as 4
Answer: The length is 13 inches and the width is 11 inches.
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the area of a rectangle is expressed as
Area = LW
The area of the rectangle is 143 square inches. This means that
LW = 143 - - - - - - - - - - - - --1
The rectangle's length is 2 in more than its width. This means that
L = W + 2
Substituting L = W + 2 into equation 1, it becomes
W(W + 2) = 143
W² + 2W - 143 = 0
W² + 13W - 11W - 143 = 0
W(W + 13) - 11(W + 13) = 0
W + 13 = 0 or W - 11 = 0
W = - 13 or W = 11
Since the width cannot be negative, it means that W = 11
L = W + 2 = 11 + 2
L = 13
The square root of 10 is 3.16. you would put it between 3 and 4 on a number line, closer to the 3
