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3 years ago

What is the value of X

Mathematics

2 answers:

svetoff [14.1K]3 years ago

6 0

$4x+7=5(x-4)\\ 4x+7=5x-20\\ 5x-4x=7+20\\ x=27$

Irina18 [472]3 years ago

4 0

This is a vertical angle, and so the angle measurements will have the same measurement.

(4x + 7) = [5(x - 4)]

First distribute the 5 to x and -4

5(x -4) = 5x - 20

4x + 7 = 5x - 20

Next, isolate the x. Subtract 5x from both sides and 7 from both sides

4x (-5x) + 7 (-7) = 5x (-5x) - 20 (-7)

4x - 5x = -20 - 7

Next, simplify.

4x - 5x = -20 - 7

-x = -27

Isolate the x, divide - 1 from both sides

-x/-1 = -27/-1

x = -27/-1

x = 27

27 is your answer for x

hope this helps

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11. Write 850 as the product of its prime factors. A. 17 × 50 B. 5 × 10 × 17 C. 10 × 85 D. 2 × 5 × 5 × 17

RideAnS [48]

D. 2 x 5 x 5 x 17

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4 0

3 years ago

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

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

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

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

The expression can no longer be simplified

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

7 0

3 years ago

Read 2 more answers

A hole is being dug into the ground at a rate of 5.3 feet per minute. Write an integer to describe the depth of the hole after 1

inna [77]

Answer:

79.5 feet

Step-by-step explanation:

5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.

i hope this helps :))

8 0

3 years ago

What is (+16) - (+2)?

Nimfa-mama [501]

Answer:

(+16) - (+2) = 14

Step-by-step explanation:

Hope this helped you!

5 0

4 years ago

Read 2 more answers

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masya89 [10]

This isnt a question its just all numbers and inches what did u want to get from that?

8 0

3 years ago