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Katen [24]
2 years ago
10

A rectangle has a length of 5x - 15 and a length of 2x + 7. What is the area of the rectangle?​

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
3 0
2(5x-15) + 2(2x+7) =0
10x-30+4x+14 = 0
14x = 16
x = 8/7
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4^-2 x 7^-2 equivalent expression
Savatey [412]

Answer:

Not sure exactly which equivalent expression you are looking for but my goal would be to write it without the negative exponent.

\frac{1}{28^2}

Step-by-step explanation:

They have the same exponent and it is multiplication.

There is a law of exponent that says (a \cdot b)^x=a^x \cdot b^x .

So we have 4^{-2} \cdot 7^{-2} equals (4 \cdot 7)^{-2}.

Let's simplify (4*7)^(-2).

Since 4*7=28, we can say (4*7)^{-2}=(28)^{-2}.

Some people really hate that negative exponent. All that - in the exponent means is reciprocal. So 28^{-2}=\frac{1}{28^2}.

8 0
3 years ago
PLEASE HURRY!! <br> simplify completely<br> show all work for full credit
Irina18 [472]

Answer:

4x^{3}

Step-by-step explanation:

<u>Given:</u>

(\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}

<u>Apply exponent rule of distribution:</u>

\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}

<u>Simplify the numerator:</u>

\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}

<u>Simplify the denominator:</u>

\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}

<u>Simplify:</u>

4x^{3}

-> To explain this party since it is a bigger jump, 3^{\frac{1}{3}}x is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have x^{3} leftover too.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0
2 years ago
Which cypress ion is equivalent to 4(x+2) ?<br> 6x<br> 4(x)+4(2)<br> 4(x)+4<br> 8x
jenyasd209 [6]

Answer:

4(x) + 4(2)

Step-by-step explanation:

4(x+2) = 4(x) + 4(2)

Distribution property

5 0
3 years ago
describe how the location of the vertex of the angle determines the process of finding the angle measures associated with that a
LekaFEV [45]

Answer:

k

Step-by-step explanation:

3 0
3 years ago
Solve for x:<br><br>a) x=70<br>b) x=180<br>c) x=40<br>d) x=90​
Serga [27]

Answer:

a) x = 70

Step-by-step explanation:

70 (2) +20 +20

140 + 40

180

4 0
2 years ago
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