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3 years ago

Factor completely and check your answer: Help!

Mathematics

1 answer:

statuscvo [17]3 years ago

3 0

Answer:

The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).

Step-by-step explanation:

You can see how this factors by looking at the last term, and the coefficient of the second term. You need to find two numbers that multiply to make seven, and add to make eight.

Because seven is a prime number, this becomes very easy. If this works at all, the numbers must be seven and one.

And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use. Let's do it:

x² + 8x + 7

= x² + x + 7x + 7

= x(x + 1) + 7(x + 1)

= (x + 7)(x + 1)

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Nat2105 [25]

Answer:

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Step-by-step explanation:

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4 years ago

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3 years ago

The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. F

Otrada [13]

Answer:

Surface area: 500

Volume: 5500

Step-by-step explanation:

Scale factor: 2:5

This means that the dimensions of the larger figure are 5/2 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(5/2) by the original surface area(80). So

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Volume:

The volume is found multiplying the cube of the change(5/2) by the original volume(352). So

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3 years ago