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3 years ago

Which expression represents the volume of the prism?

Mathematics

2 answers:

Tamiku [17]3 years ago

7 0

Answer:

x³-2x² = x2(x – 2) cubic units

Step-by-step explanation:

The volume of a prism is found by multiplying the base area by the height. The base area is a parallelogram and so the area is x*(x-2) = x² -2x.

Multiply this area by the height x.

V = x(x² - 2x) = x³-2x²

This is the same as x2(x – 2) cubic units.

Otrada [13]3 years ago

3 0

Answer: C. x∧2(x – 2) cubic units

Just took test.

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A couch and coffee table cost a total of $1080. The cost of the couch is two times the cost of the coffee table. Find the cost o

Alborosie

Answer:

$720

$360

Step-by-step explanation:

Let the cost of couch be A and that of coffee table be B

Given couch and coffee table cost $1080

That’s

A + B = $1080

Also, the cost of couch A is 2 times the cost of coffeee table B.

That’s

A = 2B

We now have two equations

A + B = 1080

A = 2B

Now ,substitute 2B for A in the first equation .

We have

A + B = 1080

2B + B = 1080

3B = 1080

Divide both sides by 3

3B/3 = 1080/3

B = 360

The coffee table cost $360

Remember A = 2B

Therefore

A = 2 x $360

A = $720

The couch cost $720 while the coffee table cost $360

3 0

3 years ago

Solve for x show all work -2× + 5=4× -7

Anestetic [448]

5=4x+2x-7
5+7=6x
12=6x
12/6=6x/6
2=x

6 0

3 years ago

Read 2 more answers

Can you please help me?

zubka84 [21]

So the right answer is 9

Look at the attached picture

Hope it will help you...

Good luck on your assignment

3 0

3 years ago

Which choice is equivalent to the product below? √8 × √3

Ivahew [28]

The right answer is 2√6

look at the attached picture

Hope it will help you

Good luck on your assignment

3 0

3 years ago

Find the equation of the line which passes through the point (1,2), and is perpendicular to the line with the equation y=−12x+5.

malfutka [58]

12y = x + 23

Step-by-step explanation:

y = −12x + 5
Perpendicular slopes are opposite reciprocals.
The original slope is −12
So the new perpendicular slope is 1/12.
We plug the point (1, 2) and the slope m = 1/12 into the slope intercept form of the equation y = mx + b

y = mx + b

2 = 1/12 * 1 + b

2 = 1/12 + b

b = 23/12

When we simplify this, we arrive at 12y = x + 23

7 0

3 years ago