Answer:
The average rate of change is -2
Step-by-step explanation:
we know that
To find out the average rate of change, we divide the change in the output value by the change in the input value.
In a linear function the average rate of change is a constant and is equal to the slope of the function
The linear function in slope intercept form is equal to

where
m is the slope or unit rate of the linear function
b is the y-intercept or initial value of the linear function
In this problem we have

so

therefore
The average rate of change is -2
Answer:
2 × 2 × 2 × 2 × 3, or
×3.
Answer:
35 units²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 5, thus
A =
× 14 × 5 = 7 × 5 = 35 units²
Answer and Step-by-step explanation:
Firstly, we should note that the rectangle given is a square. This is because, the diameter of the semicircle is the same horizontally and vertically
Since the length of the rectangle is 48, it means the radius of each semi circle is 24.
The area of one semicircle will be:
0.5πr²
Where r = 24 and π = 3.14
0.5 x 3.14 x 24 = 37.68 square units
Since we have two semicircles, then the area of both will be:
37.68 x 2 = 75.36 square units.
To find the area shaded portion. Since I cannot see the diagram, there are two possibilities. If the shaded potion is just the two semicircles, then the area is 75.36 square units. But if the shaded portion is what ever remains after taking out the semicircles, then the area would be:
48² – 75.36 = 2133.64 square units.