Answer:
The answer would be (3,1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's give this a go here. The volume formula for the shell method while rotating about a horizontal line is

where p(y) is the distance from the axis of rotation (the x-axis) to the center of the solid. This is a positive distance and it is just y.
h(y) is the horizontal height of the function. Our function starts at x = 0 and ends at the function itself, so h(y) = 3 + y^2.
In the shell method when rotating about a horizontal line, we need to use x = y equations, and y-intervals. Setting up our integral then:

We can simplify this a bit by distributing the y into the parenthesis:

Integrating gives us
from 2 to 3
Using the First Fundamental Theorem of Calculus:
which simplifies down to

Answer:
The perimeter of the basketball court is <u>276 feet²</u>.
Step-by-step explanation:
Given:
The basketball court at Johnson Elementary School is the shape of a rectangle.
It is 92 feet long and 46 feet wide.
Now, to find the perimeter of the basketball court.
Length = 92 feet.
Width = 46 feet.
So, to get the perimeter we put formula:




Therefore, the perimeter of the basketball court is 276 feet².
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (3, 14)
Point (7, 9)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute [Slope Formula]:

- Subtract:

Answer:
perimeter = 6w
area = 2w^2
Step-by-step explanation:
we can use the variable w for width, and 2w for length perimeter would be width + width + length + length, or 6w
area is width x length or 2w^2