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wlad13 [49]
2 years ago
6

Determine an expression that would represent the area of the figure shown.

Mathematics
1 answer:
Alborosie2 years ago
8 0

Answer:

Option A : 15x² + 62x + 63 is the correct answer.

Step-by-step explanation:

Given measurements of the figure are:

5x + 9 and 3x + 7

We have to find the area. We can find the area by multiplying the two expressions.

Area = (5x+9) * (3x+7)

Area = 5x (3x+7) +9(3x+7)

Area = 15x² + 35x + 27x + 63

Area = 15x² + 62x + 63

Hence,

Option A : 15x² + 62x + 63 is the correct answer.

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Write 375 as a product of it's Prime Factors<br> Give your answer in Index form.
DedPeter [7]
<h3>375 as a product of it's Prime Factors : 375 = 3^1 \times 5^3</h3>

<em><u>Solution:</u></em>

Given that,

We have to write 375 as a product of it prime factors

Prime factorization of a number is done by breaking the given number down into the set of prime numbers which when multiplied together results in the original number

The Prime Factorization is:  3 x 5 x 5 x 5

<em><u>Therefore, 375 as a product of it prime factors is:</u></em>

375 = 3 \times 5 \times 5 \times 5

In exponential form we can write as,

375 = 3^1 \times 5^3

Thus 375 is written as product of its prime factors

7 0
3 years ago
Simplify 4(2x^3y^4)^4/2(2x^2y^6)^3. Show your work. Please help ASAP!!
vovikov84 [41]

Answer:

The simplified expression to the given expression is \frac{4x^6}{y^2}

Therefore \frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}=\frac{4x^6}{y^2}

Step-by-step explanation:

Given fractional expression is \frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}

To simplify the given expression as below :

\frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}

=\frac{2(2x^3y^4)^4}{(2x^2y^6)^3}

=\frac{2[(2)^4(x^3)^4(y^4)^4]}{(2)^3(x^2)^3(y^6)^3}  ( using the property (a^m)^n=a^{mn})

=\frac{2[(2)^4(x^{12})(y^{16})]}{(2)^3(x^6)(y^{18})}

=2[(2)^4(x^{12})(y^{16})](2)^{-3}(x^{-6})(y^{-18})  (  ( using the property a^m=\frac{1}{a^{-m}} )

=2[2^{4-3}x^{12-6}y^{16-18}]( using the property a^m.a^n=a^{m+n} )

=2[2^1x^6y^{-2}]

=\frac{4x^6}{y^2} ( using the property a^m=\frac{1}{a^{-m}} )

Therefore the simplified expression is \frac{4x^6}{y^2}

Therefore \frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}=\frac{4x^6}{y^2}

5 0
3 years ago
Please help I will award beau l’ovest answer
yuradex [85]

Answer:

Here

Step-by-step explanation:

1. Set B: 20, 18, 7

2. 17, 14, 14

7 0
2 years ago
(100)• (-0.09) 7th Grade math
matrenka [14]

Answer:

-9

Step-by-step explanation:

100 x -.09 = -9 (move the decimal over two places to the right because you are multiplying by 100)

8 0
2 years ago
What is the product of 187 x 70?
Semenov [28]
ANSWER: 13090

EXPLANATION: okay so basically whenever you see the word "product" it means that you just have to multiply. So their asking what is 187 x 70 and well, it's 13090
hopefully this helps you in the future!! :D
6 0
2 years ago
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