Answer:
4/15
Step-by-step explanation:
Add up the unshaded part
1/3 +2/5
Get a common denominator
1/3 *5/5 + 2/5 *3/3
5/15 + 6/15
11/15
Subtract this from 1 for the entire circle
15/15 -11/15
4/15
4/15 is shaded
Answer:
Kendra ate 1/4 pounds of blueberries.
Step-by-step explanation:
The amount of blueberries Sean had = 1/3 pound
The amount of blueberries Kendra ate = 3/4 of Total available
= 3/4 of (1/3 pounds)
Now, we need to find out the 3/4 amount of 1/3 pound.
3/4 of 1/3 pound = 
⇒ 3/4 of the amount 1/3 pound = 1/4 pound
Hence Kendra ate 1/4 pounds of blueberries.
1) use the distance formula to find that the radius (r) of the circle = 5
2) use the midpoint formula to find that the center of the circle (h,k) = (3, 0)
3) Now use the formula of a circle and input the (h,k) and r to create:
(x - 3)² + (y - 0)² = 5² → (x - 3)² + y² = 25
4) input the "x" value given in the question (x = 0) and solve for "y":
(0 - 3)² + y² = 25 → 9 + y² = 25 → y² = 16 → y = +/- 4
Since the question states that "b" must be positive, you can disregard the -4.
Answer: b = 4
Answer:

Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:

In which m is the slope and b is the y-intercept.
Perpendicular lines:
When two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to y=1/8x+2
This line has slope 
So, for the line we want to find the equation, we have that:


So

Find the equation of the line through point (1,−5)
This means that when
. We use this to find b. So:



The equation of the line is:
