Answer:
C≈62.83
Step-by-step explanation:
Use the formula C=πd
Plug in 20 for d and simplify
You then get 62.8318530718 in a calculator
So, you round it to 62.83
Answer: first option 392.699 square feet.
Explanation:
1) The shape of the sidewalk is an ring with exterior radius equal to the radious of the fountain + 5 feet and inner radius equal to the radius of the fountain.
2) The area of such ring is equal to the area of the outer circle less the area of the inner circle (the fountain)
Area of a circle = π × r²
Area of the outer circle: π (10ft + 5 ft)² = π (15 ft)² = 225 π ft²
Area of the inner circle = π (10ft)² = 100 π ft²
Area of the ring (sidewald) = 225π ft² - 100π ft² = 125π ft² = 392.699 ft²
C. The vertexes are the same. The functions' vertex (h,k) values were not altered, just a (stretch/compress).
Answer:

Step-by-step explanation:
Given:
The two points on the line are:

Now, for a line with two points on it, the slope of the line is given as:

For the points
, slope is:

Now, for a line with slope 'm' and a point
on it is given as:

Plug in all the values and determine the equation of the line. This gives,

Therefore, the equation of the line is:
