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timurjin [86]
3 years ago
5

Simplify 4x^2+36/4x×1/5x

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0

The simplified version of the expression is this: 5(x² + 9) ÷ x.

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A rectangular prism is made of 81 unit cubes. The prism is 9 unit cubes long.
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Answer:

A width: 3 unit cubes

height 3 unit cubes

Step-by-step explanation:

Volume of rectangular prism = 81 unit cubes

l = Length of rectangular prism = 9 unit cubes

w = Width of rectangular prism

h = Height of rectangular prism

Volume of a rectangular prism is given by

V=lwh\\\Rightarrow 81=9wh\\\Rightarrow wh=\dfrac{81}{9}\\\Rightarrow wh=9

The product of width and height must be 9 so from the options this is only possible when width and height both are 3 units.

So, the width is 3 unit cubes and the height is 3 unit cubes.

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3 years ago
What is the length of the altitude of the equilateral triangle below?​
ElenaW [278]

Answer:

A

Step-by-step explanation:

the height a creates with half of the baseline (5) and a leg (10) a right-angled triangle, and we can use Pythagoras to calculate a.

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle, so in our case the 10 side).

10² = a² + 5²

100 = a² + 25

75 = a²

a = sqrt(75) = sqrt(3×25) = 5×sqrt(3)

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2 years ago
What’s the numerator for the following rational expression
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the answer is 
the numerator for the following rational expression</span> is x+3

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