Answer:

Step-by-step explanation:
step 1
Find the slope of the perpendicular line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
(the product of their slopes is equal to -1)
In this problem
we have

The equation of the given line is 
so
the slope of the perpendicular line to the given line is

step 2
Find the equation of the line in point slope form

we have


substitute

Convert to slope intercept form

Distribute right side



Answer:
.
Step-by-step explanation:
We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.
We will use volume formula of sphere to solve our given problem.
, where r is radius of sphere.
The difference of volumes would be volume of larger sphere minus volume of smaller sphere.





Therefore, the difference between volumes of the spheres is
.
Answer:
x = -9, -2, and 3.
just set everything possible to 0.
since 0 = 0 it must be true.
Answer:
The trapezoid has a height of 3 inches, a shorter base measuring 2.75 inches, and a longer base measuring 4.25 inches. The total area of the entire figure is 33 square inches.
Step-by-step explanation:
I took the iready diagnostic :)
Answer:
$31.37 is the sale price
Step-by-step explanation:
All you need to do to find the discount price (sale price) is multiply the price of the item by the decimal form of the percentage.
1. Store A. 40% off the original price of $159.99

63.996 is the discount price we are looking for
2. Store B. 25% off the original price of $130.50

32.625 is the discount price we are looking for
3. Now to find their difference you just subtract the two values.

The discount price (sale price) is $31.371