Answer: 16π
Step-by-step explanation:
First, solve for total area:
A = πr^2
A = π(8^2) = 64π
Then, find 1/4 of the area of the whole (since this is only a quarter circle)
A/4 = (64π)/4 = 16π
Answer:
1. Distance from Katie's House to the beach = 75 km
2. Hours that it takes to get to the beach = 6 hrs
3. -12.5 which tells us the rate at which katie traveled which was 12.5 km per hour
Steps to 3.
Rise/Run = -75/6 = -12.5 = slope
Answer:
y = 6, rendering the coordinate pair: (6,6)
Step-by-step explanation:
We start by writing the equation of the line that passes through two given points on the plane:
and
beginning with finding the slope of the segment that joints the points using the slope formula:
Let's call
= (2,4), and
= (-2,2). Then we have the formula for the slope:

Now that we have the slope of the line, we can find the actual equation of the line by using one of the given points, and the "point-slope" form of a line with slope "m" and going through a point
- which in our case we defie as one of our given points, let's say (2, 4):

now we find what is the "y" value in such line that corresponds to an x-value of "6" to complete the coordinate pair (6, ?). For such we simply evaluate the equation above at x = 6:

Therefore, y must be "6".