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Contact [7]
3 years ago
12

What is the solution for the equation 8x − 12 = 4x? x = ___. (Input whole number only).

Mathematics
1 answer:
seropon [69]3 years ago
8 0
8x - 12 = 4x
8x - 4x = 12
4x = 12
x = 12/4
x = 3
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NEED HELP WITH THIS PROBLEM!!!!!!
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Answer:

  \displaystyle\frac{\sqrt[4]{3x^2}}{2y}

Step-by-step explanation:

It can work well to identify 4th powers under the radical, then remove them.

  \displaystyle\sqrt[4]{\frac{24x^6y}{128x^4y^5}}=\sqrt[4]{\frac{3x^2}{16y^4}}=\sqrt[4]{\frac{3x^2}{(2y)^4}}\\\\=\frac{\sqrt[4]{3x^2}}{2y}

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The applicable rules of exponents are ...

  1/a^b = a^-b

  (a^b)(a^c) = a^(b+c)

The x-factors simplify as ...

  x^6/x^4 = x^(6-4) = x^2

The y-factors simplify as ...

  y/y^5 = 1/y^(5-1) = 1/y^4

The constant factors simplify in the usual way:

  24/128 = (8·3)/(8·16) = 3/16

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3 years ago
Find m∠U.<br> Write your answer as an integer or as a decimal rounded to the nearest tenth.
olga2289 [7]

Answer:

Answer:

50.2

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ut =  \sqrt{ {6}^{2}  +  {5}^{2} }   \\  \sqrt{36 + 25}  \\  \sqrt{61 }  \\ using \: cosine \: rule \\ cos \: u =  \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times  \sqrt{61} }  \\  \\  =  \frac{25 + 61 - 36}{78}  \\  \\  = \frac{50}{78 }  \\  \cos \: u = 0.64 \\ m∠U. = 50.2

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2 years ago
What is 80 percent of 60. write and solve a proportion. thank you
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In the figure below, points M, P, H, J, and K lie in plane Z.
marishachu [46]

Answers:

  • (a) LN
  • (b) PHJ
  • (c) K
  • (d) HK

===================================================

Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

-----------------

Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

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Part (c)

Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K

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Part (d)

Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.

We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.

Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.

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3 years ago
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