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Paha777 [63]
2 years ago
7

Perform the indicated operation and simplify the result. Leave your answer in factored form.

Mathematics
2 answers:
vladimir1956 [14]2 years ago
8 0

Answer:

\frac{x}{y} \frac{5x}{\frac{x^{2} -4}{\frac{8x}{x+2} } }\\\\=\frac{5x(x+2)}{8x(x^{2} -4)}\\\\=\frac{5(x+2)}{8(x+2)(x-2)}\\\\=\frac{5}{8(x-2)}\\\\=\frac{5}{8}.\frac{1}{x-2}

Step-by-step explanation:

olga2289 [7]2 years ago
3 0

Step-by-step explanation:

\frac{ \frac{5x}{ {x}^{2} - 4 } }{ \frac{8x}{x + 2} }  =  \frac{5x}{ {x}^{2} - 4 }  \times  \frac{x + 2}{8x}  =  \frac{5x + 10}{ {8x}^{2}  - 32}   \\

hope it helps:)

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Peter can run 10 kilometers in 2 hours at a steady rate how long will it take him to run 30 kilometers
Pachacha [2.7K]

Answer:

6 hours

Step-by-step explanation:

10/2=5

5 * 6 =30

8 0
3 years ago
Read 2 more answers
A. 6<br> B. 2<br> C. 0.4<br> D. -6
Strike441 [17]

Answer:

6

Step-by-step explanation:

Hope thats the correct answer.

6 0
3 years ago
The smaller triangle is a dilation of the larger triangle with a center of dilation at (2,−1) .
andrew-mc [135]

Answer:

Option B. 1/2

Step-by-step explanation:

The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).

we have to calculate the scale factor of the dilation.

One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.

If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2

Therefore Option B. 1/2 is the answer.

3 0
3 years ago
Read 2 more answers
75 points. Will give certified if work is shown and the answer is correct.
Svetach [21]
Volume of the first dwarf planet (r₁ = 832 mi):

V_1=\dfrac{4}{3}\cdot\pi\cdot r_1^3=\dfrac{4}{3}\cdot\pi\cdot 832^3=\dfrac{2303721472}{3}\pi\approx7.679\cdot10^8\pi\,\text{mi}^3

Volume of the second dwarf planet (r₂ = 829 mi):

V_2=\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\cdot\pi\cdot 829^3=\dfrac{2278891156}{3}\pi\approx7.5963\cdot10^8\pi\,\text{mi}^3

So difference between the volumes is:

V_1-V_2\approx7.679\cdot10^8\pi-7.5963\cdot10^8\pi=0.0827\cdot10^8\pi=\boxed{8270000\pi\,\text{mi}^3}

or if we want exact value (we use (a³-b³) = (a-b)(a²+ab+b²) ):

V_1-V_2=\dfrac{4}{3}\cdot\pi\cdot r_1^3-\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\pi(r_1^3-r_2^3)=\dfrac{4}{3}\pi(832^3-829^3)=\\\\\\=\dfrac{4}{3}\pi(832-829)(832^2+832\cdot829+829^2)=\\\\\\=\dfrac{4}{3}\pi\cdot3(692224+689728+687241)=4\pi\cdot2069193=\boxed{8276772\pi\,\text{mi}^3}
3 0
3 years ago
Can someone please help me?
Tatiana [17]
It can be solved by factoring or taking the root of both sides.

x= 2 radical 3. and -2 radical 3
7 0
3 years ago
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