Yes the fractions are equivalent. 5/5 is another equivalent fraction
Answer:
The average rate of change from 3 to 6 storms = 0.04
Step-by-step explanation:
Let number of Storms = N
And Predicted Gas Price = P
it is required to find the average rate of change from 3 to 6 storms.
At N = 3 ⇒ P = $2.44
At N = 6 ⇒ P = $2.56
So, the average rate of change = 
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
Answer:
A = pi * r^2 = pi * 5^2 = 25*pi = 78.54 in²
Answer:

Step-by-step explanation:
Given:
The two points on the line are
and
.
The slope of the line joining two points
and
is given as:

Here, 
∴ 
Equation of line with a point
and slope
is given as:

Plug in -2 for
, 3 for
and -7 for
. This gives,

Therefore, the equation of the line in vertex form is
.