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Vladimir79 [104]
3 years ago
5

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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jasenka [17]

Answer:

5/28

Step-by-step explanation:

First you multiply across,

<u>5 · 2 = 10</u>

8 · 7 = 56

Then after multiplying, you will get the fraction, 10/56.

You can simplify that into 5/28.

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2 years ago
The width of a rectangle is 3 units less than the length. the area of the rectangle is 10 units. what is the length, in units, o
Genrish500 [490]

Answer:

Length = 5

Step-by-step explanation:

width = 2

length =5

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Find the solution set <br><br>2x^2 -2x -4 =0<br><br>please use a comma to separate your answer.
mariarad [96]

Answer:

2,-1

Step-by-step explanation:

2x^2 -2x -4 =0

Factor out a 2

2(x^2 -x-2) =0

What 2 number multiply to -2 and add to -1

-2*1 = -2

-2 +1 = -1

2(x-2) (x+1) =0

Using the zero product property

x-2 = 0               x+1 = 0

x-2+2=0+2       x+1-1=0-1

x=2                   x=-1

7 0
3 years ago
Mrs. Nevin is making a costume for a school play. She needs a piece of fabric that is greater than 1/2 of a yard but less than 5
Bumek [7]

Answer:

4/7 yards

Step-by-step explanation:

Given that :

Required fabric is > 1/2 but < 5/8

Let required fabric = x

Then ;

Converting the fractions to decimal :

1/2 = 0.5 ; 5/8 = 0.625

0.5 < x < 0.625

3/8 yards = 0.375 ;

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2/4 yards = 0.5

0.5 < 0.571 < 0.625

From the options, only 4/7 yards satisfies the condition :

5 0
3 years ago
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