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pashok25 [27]
3 years ago
10

Anyone know how to do this?

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0
I’m sorry but I really have no idea I wish I could help
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10. Simplify the rational expression by rationalizing the denominator. 3 sqrt 160/sqrt 1350x A) 2 sqrt 15x/15x B) 3 sqrt 160/135
Viefleur [7K]
The simplified expression by rationalizing the denominator is (C)\frac{4 \sqrt{15x} }{15x}.

First we must simplify the expression:
\frac{3 \sqrt{160} }{\sqrt{1350x} } =  \frac{12 \sqrt{10} }{15 \sqrt{6x} } =  \frac{4 \sqrt{10} }{5 \sqrt{6x} }

Then we factor the rational parts and cancel it out:
\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }

Then we rationalize the expression:
\frac{4\sqrt{5} }{5\sqrt{3x} } * \frac{\sqrt{3x} }{\sqrt{3x} } = \frac{4 \sqrt{15x} }{5*3x} = \frac{4 \sqrt{15x} }{15x}

<span>Finally, the simplified expression by rationalizing the denominator is (C)\frac{4 \sqrt{15x} }{15x}.</span>
7 0
3 years ago
How do simplify 4(8+2f)+5 using distributive property?
polet [3.4K]
8f+37 is the answer to check:
4 times 8 is 32 + 4 times 2f is 8f..........then 32+8f+5 to 8f + 37 is your answer
8 0
3 years ago
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YnwavIUC value to ring Distance
Umnica [9.8K]

Answer:

Step-by-step explanation:

13 units

5 0
4 years ago
Parallel lines s and t are cut by a transversal, r, as shown.
Diano4ka-milaya [45]

Answer:

the value of x is 18

Step-by-step explanation:

observing the figure,

 m < 1 =94 -----> by corresponding angles

(5x-4)+m < =180 degree -----> by supplementary angles

Substitute the measure of angle 1 and solve for x,

(5x-4)+94 = 180 degree

5x=180degree - 90degree

5x=90degree

x=18 degree

8 0
3 years ago
Line /is the segment bisector of PQ. What is the value of x? Round your answer
Valentin [98]

Answer:

x = 2.6

Step-by-step explanation:

Here we have that line l is the bisector of segment PQ.

According to the definition of bisector, this means that line l cuts the segment PQ into two parts of equal length.

This means that the length of PM must be equal to the length of MQ. So we can write:

|PM|=|MQ|\\5x-7=11-2x

Now we have to solve the equation to find x. First, we add +7 on both sides:

5x-7+7=11-2x+7\\5x=18-2x

Now we add +2x on both sides:

5x+2x=18-2x+2x\\7x=18

And therefore,

x=\frac{18}{7}=2.6

6 0
3 years ago
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