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Lena [83]
2 years ago
14

Darlene is building a rectangular fence. the length is 8 feet longer than the width. the perimeter of the rectangle is 76 feet.

what is the length of the rectangle?
Mathematics
1 answer:
Llana [10]2 years ago
4 0

Answer:8 feet

Step-by-step explanation:

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Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.
KengaRu [80]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the 8 expressions are not given.

The general explanation is as follows

As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.

Then you categorize each result, depending on if it equals 5^{10} or not

Take for instance:

5^5 * 5^5

Using law of indices:

5^5 * 5^5 = 5^{5+5

5^5 * 5^5 = 5^{10 ---- equivalent

\frac{5^5 + 5^5}{2 * 5^{-5}}

Factorize the numerator

\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1  + 1)}{2 * 5^{-5}}

\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}

Cancel out 2

\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}

Apply law of indices

\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}

\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}

\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10 ---equivalent

125 * 78125

Express as exponent

125 * 78125  = 5^3 * 5^7

Apply law of indices

125 * 78125  = 5^{3+7

125 * 78125  = 5^{10 ---- equivalent

5^3 + 5^7

Solve exponents

5^3 + 5^7 = 125 + 78125

5^3 + 5^7 = 78250 ---- not equivalent

4 0
3 years ago
Triangle Question please solve
dedylja [7]
Don’t click that link it’s hacker trying to hack ur info
6 0
3 years ago
The graph of this system of equations is which of the following?
Anton [14]

Answer:

From what I found, the answer is parallel

Step-by-step explanation:

not much of an explanation haha

7 0
3 years ago
Read 2 more answers
2. If g(x) = x2 – 3x + 2, find g(-4).
juin [17]

42

Step-by-step explanation:

you plug in -4 into x and multiply

ex: (-4)2-3(-4)+2

5 0
4 years ago
Read 2 more answers
Write an expression to represents the product of 6 and the sum of w and 5
muminat
6(w+5) represents the product of 6 and the sum of w and 5. the product means multiplication, and the sum means addition.

6(w+5) also equals 6w+6(5), or 6w+30, because of the distribution property.
6 0
3 years ago
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