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Shalnov [3]
2 years ago
14

Factor the expression below. 9x^2-1 A. (3x - 1)(3x - 1) B. (3x - 1)(3x + 1) C. (x - 1)(9x - 1) D. (x - 1)(9x + 1)​

Mathematics
1 answer:
aliya0001 [1]2 years ago
6 0

Answer:

(3x + 1) • (3x - 1)

Step-by-step explanation:

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

3{}^{2}x{}^{2} - 1

STEP

2

:

Trying to factor as a Difference of Squares:

2.1 Factoring: 9x{}^{2}-1

Theory : A difference of two perfect squares, A{}^{2} - B{}^{2} can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A{}^{2} - AB + BA - B2 =

A{}^{2}- AB + AB - B2 =

A{}^{2} - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : 1 is the square of 1

Check : x{}^{2} is the square of x1

Factorization is : (3x + 1) • (3x - 1)

Final result :

(3x + 1) • (3x - 1)

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Softa [21]

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

6 0
2 years ago
Solve equation 13=x/7+5
yuradex [85]

Answer:

56

Step-by-step explanation:

Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 5 from both sides:

13 (-5) = (x/7) + 5 (-5)

13 - 5 = x/7

8 = x/7

Isolate the variable x. Multiply 7 to both sides:

8(7) = (x/7)(7)

8(7) = x

x = 8 * 7

x = 56

56 is your answer for x.

~

3 0
3 years ago
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A bag contains 7 apples and 5 oranges. If you select 7 pieces of fruit without looking, how many ways can you get 7 apples?
Nataly_w [17]

Answer:

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Step-by-step explanation:

7 0
4 years ago
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HELPP PLEASE DUE TOMMOROW PLEASE ANSWER QUESTION B
marin [14]

Answer:

28 non-blue marbles.

Step-by-step explanation:

Initial probability of choosing a blue marble = 4/12

Let the number of non-blue marbles to be added be x.

\frac{4}{12+x} =\frac{1}{10}

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x=28

4 0
3 years ago
Please help. Find the two missing sides and write your answer as in simplified radical form.
ki77a [65]

Answer:

x and y =   5√2.

Step-by-step explanation:

This is a 45:45:90 triangle so length of x = length of y.

In this triangle the ratio of the sides is 1:1:√2

Finding length of x and y:

1/√2 = x/10

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x = 10/√2

=  10√2/2

=  5√2.

5 0
3 years ago
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