(4x-6)(6x+2) simplify

Rhonda had a piece of ribbon that was 5 feet 3 inches long she removed a 5-inch piece to use in her art project what is the leng

Lynna [10]

The 5 ft. and 3 in. total to 63 in. So, you take away 5 in. from 63 in. and your total would be 58 in. (4 ft. 10 in.)

Answer: 58 inches or 4 feet 10 inches

Credit to: @Emanuel9

even when you don't see it,

God's working : )

6 0

3 years ago

Prove that the product of any two consecutive natural numbers is even.

Vitek1552 [10]

Answer with Step-by-step explanation:

Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'

Thus the product of the 2 numbers is given by

$Product=n(n+1)\\\\$

We know that the sum of 'n' consecutive natural numbers starting from 1 is

$S_n=\frac{n(n+1)}{2}\\\\\therefore n(n+1)=2\times S_n............(i)$

Thus from equation 'i' we can write

$Product=2\times S_n$

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.

6 0

3 years ago

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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D. a base area of 16y² square units and height of y² + y + 3 units

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Step-by-step explanation:

7 0

3 years ago

Between which two numbers will you find -3.25?

Vinil7 [7]

Answer:

A

Step-by-step explanation:

hope it helps

6 0

3 years ago

Read 2 more answers

Please answer. I’ll mark brainlist

FromTheMoon [43]

Answer: the answer is the first one!!

Step-by-step explanation: split the shape up and multiple the numbers that came with the problem and then put all the totals together i got a total of 364!! Hope that helps!!

7 0

3 years ago

Read 2 more answers