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Alona [7]
3 years ago
12

M-4=2m simplify please

Mathematics
2 answers:
Lelechka [254]3 years ago
5 0

Answer: m=-4

Step-by-step explanation: Plug -4 in for m

bija089 [108]3 years ago
3 0

Answer:

m- 4=2m

m -2m=4

- m=4

m= -4

<em><u>mark it as brainliest!!!</u></em>

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Which is equivalent to V180x11 after it has been simplified completely?
inna [77]

Question:

Which is equivalent to \sqrt{180x^{11}} after it has been simplified completely?

Answer:

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

Step-by-step explanation:

Given

\sqrt{180x^{11}}

Required

Simplify

We start by splitting the square root

\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}

Replace 180 with 36 * 5

\sqrt{180x^{11}} = \sqrt{36 * 5} *  \sqrt{x^{11}}

Further split the square roots

\sqrt{180x^{11}} = \sqrt{36} *\sqrt{5} *  \sqrt{x^{11}}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{11}}

Replace power of x; 11 with 10 + 1

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10 + 1}}

From laws of indices; a^{m+n} = a^m * a^n

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x^1}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x}

Further split the square roots

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10}} * \sqrt{x}

From laws of indices; \sqrt{a} = a^{\frac{1}{2}}

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{10*\frac{1}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{\frac{10}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{5} * \sqrt{x}

Rearrange Expression

\sqrt{180x^{11}} = 6 *  x^{5} * \sqrt{5} * \sqrt{x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}

From laws of indices; \sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}

So, we have

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5*x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

<em>The expression can no longer be simplified</em>

Hence, \sqrt{180x^{11}} is equivalent to 6x^{5}\sqrt{5x}

7 0
2 years ago
Read 2 more answers
The image of (6, 9) under a dilation is (4, 6).
Ad libitum [116K]
For this case we have the following ordered pairs:
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 Answer:
 
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8 0
3 years ago
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A sum of rs 400 is lent for 3 yrs at the rate of 6% per annum. Find the interest.
Nimfa-mama [501]
Interest is equal to rs 72

Simple Interest is computed by multiplying the principal to the interest rate and the time.

I = P * r * t

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3 0
3 years ago
Hamdah wants to save $500 to buy a TV. She saves $17 each week. The amount, A (in dollars), that she still needs after w weeks i
Dmitriy789 [7]

Answer:

a) 14.11 dollars (b) 204 dollars

Step-by-step explanation:

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(b) 17 x 5 = 85   289 - 85 = 204

hope this helped :)

6 0
3 years ago
Drag a statement or reason for each box to complete this proof.
Yakvenalex [24]

Hey! I've had the same quiz earlier and these answers below are correct. Hope this helps you out and have a great day :)

3 0
3 years ago
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