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raketka [301]
2 years ago
9

A rectangular rug has side lengths of (x- 2) feet

Mathematics
1 answer:
Zolol [24]2 years ago
3 0

Hi!

Your answer is x^2+x+6

We are asked to find the floor space it covers, which we can solve for by finding the area of the rectangular rug, given its dimensions.

<u>Dimensions:</u>

(x - 2) x (x + 3)

<u>Area of a rectangle:</u>

Length x Width = Area

Plug dimensions into the formula:

(x - 2)(x +3)

Use the Distributive Property and FOIL method to solve <em>(if you are not familiar with the FOIL method, see the image attached below)</em>:

x^2+3x-2x-6

Combine like terms:

x^2+x-6

<em>Now, this isn't a numerical value, but as we do not know the value of x, this is the simplest answer we can get.</em>

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Consider a graph of the equation y=x+6. What is the y intercept
Pavlova-9 [17]

Answer:

6

Step-by-step explanation:

In the slope intercept equation, y=mx+b, m stands for slope and b stands for y-intercept, therefore your y-intercept is 6.

5 0
3 years ago
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If your car gets 35 miles per​ gallon, how much does it cost to drive 400 miles when gasoline costs ​$3.30 per​ gallon?
Arlecino [84]
To solve his equation start by finding how many gallons of gas you need to purchase for the total trip.
Set up an expression that divides the total distance of the trip by the miles received per gallon.
This gives you:
400 / 35

Divide to get 11.43 gallons.

To find the cost of this, multiply the total number of gallons needed to cover the trip by the cost of each gallon.
Set this up in another expression.
This results in:
11.43 x 3.30

Multiply the values to find the total cost.
This leaves you with:
37.72

So, the total cost for gas for a 400 mile trip on 35 miles per gallon is $37.72.

I hope this is correct and helps you! :)
7 0
3 years ago
Determine the better buy. 12 oz for $2.69 or 16 oz for $2.49?
topjm [15]
12 oz for 2.68 = .22 per unit
16 oz for 2.49 = .16 per unit

the 16 oz for 2.49 is your better deal

5 0
3 years ago
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In a square, the sum of the lengths of three sides is 45 and in a rectangle the difference between a length and a width is 5 in.
stira [4]
Square:
We know all sides of a squares are equal in length.
s= the length of one side of the square.
45= s+s+s
45= 3s
s=15 inches
Each side of the square is 15 inches.

Rectangle:
length(l)= ????
Width(w)= s = 15 inches

l -w= 5inches
l- (15 inches)= 5 inches
l = 20 inches


Answer:
A length of the rectangle is 20 inches long.
5 0
3 years ago
Point K is rotated 90°. The coordinate of the pre-image point K was (2, –6) and its image K’ is at the coordinate (−6, −2). Find
umka21 [38]

Answer:

Hello! The answer to your question will be below.

Step-by-step explanation:

The answer would be clockwise.

So point k was rotated 90 degrees clockwise.....

Review.....

Question:

Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.

THE DIRECTION OF THE ROTATION WAS CLOCKWISE.

Hope this helps! :)

⭐️Have a wonderful day!⭐️

8 0
3 years ago
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