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MAXImum [283]
2 years ago
8

100 points PLEASE ANSWER ASAP!!! thank you so much

Mathematics
1 answer:
Oksanka [162]2 years ago
8 0

Answer:

=\frac{x}{x-1}

Step-by-step explanation:

The error is at the beginning when canceling 1's, this is incorrect

Solution: multiply by "x square", factor and simplify

\frac{x^{2} (1+\frac{1}{x}) }{x^{2} (1-\frac{1}{x^{2} }) } =\frac{x^{2}+x }{x^{2} -1} =\frac{x(x+1)}{(x+1)(x-1)} =\frac{x}{x-1}

Hope this helps

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2. A plane traveled from California and back. It took one hour longer on the way out than it
balu736 [363]

Answer:

Option D is the correct answer.

Step-by-step explanation:

the time out.

Time taken for back = t-1

We have plane's average speed out was 300 mph and average speed on the way back was 350 mph.

That is

           

Dividing both equations

             

Time taken for back = t-1 = 7-1 = 6 hours.

Read more on Brainly.com - brainly.com/question/1955818#readmore

8 0
3 years ago
The sum of the circumference of two circles is 38π cm and the sum of their areas is 193π cm². Calculate the radii of the circles
sdas [7]

Answer:

The radii of the circles are 12 cm and 7cm.

Step-by-step explanation:

Let the radii of the circles be r_{1}\ and\ r_{2}

Given:

Sum of circumference of two circles= 38π cm

Formula for circumference of a circle with radius r = 2πr

2\pi r_{1}+2\pi r_{2}=38\pi \\r_{1}+r_{2}=19------------1

Sum of areas of two circles= 193π cm²

Area of circle with radius r = πr²

\pi r_{1}^{2}+\pi r_{2}^{2}=193\pi \\r_{1}^{2}+r_{2}^{2}=193-------2

Substituting r2 = 19 - r1 in equation 2 we get:

r_{1}^{2}+(19-r_{1})^{2}=193\\2r_{1}^{2}-38r_{1}+168=0\\r_{1}^{2}-19r_{1}+84=0\\(r_{1}-12)(r_{1}-7)=0\\r_{1}=12\ or\ 7

Then r2 = 19 - r1

r_{2}=12\ or\ 7

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