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3 years ago

Which binomial is a factor of 100x2 – 49?

Mathematics

1 answer:

pentagon [3]3 years ago

6 0

Answer:

Step-by-step explanation:

What you have here is called "the difference of two squares"

Difference means subtraction and both 100x2 and 49 are perfect squares.

The factored form of 100x2-49 is

(10x+7)(10x-7)

Because 10x times 10x is 100x2 and 7 times 7 is 49

One factor has a + and

One factor has a -

It is a pattern worth memorizing!

So 10x + 7 is the factor you're looking for.

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3 years ago

Put the following equation of a line into slope-intercept form, simplifying all

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Answer:

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Step-by-step explanation:

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2 years ago

LaShaundra is buying fence for two triangular sections of her garden.

mixas84 [53]

Answer: 80 feet.

Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

$sf=\frac{20ft}{4ft}\\sf=5ft$

3. Therefore, the lenght of the side DG of the trinagle DFG is:

$DG=5*AC\\DG=5*7ft\\DG=35ft$

4. The perimeter of the triangle DFG is:

$P_{DFG}=20ft+25ft+35ft=80ft$

5. Therefore, she would need 80 feet of fence.

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3 years ago