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Alborosie
3 years ago
5

Provide a clear answer while explaining how to do each step to the question below:

Mathematics
1 answer:
likoan [24]3 years ago
7 0

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt[3]{8x^5y^7} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[3]{8x^5y^7}\implies \sqrt[3]{2^3x^5y^7}\implies \left( 2^3x^5y^7 \right)^{\frac{1}{3}}\implies 2^{3\cdot \frac{1}{3}}x^{5\cdot \frac{1}{3}}y^{7\cdot \frac{1}{3}}\implies 2x^{\frac{5}{3}}y^{\frac{7}{3}}

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TanA+tanB+tanAtanB=1 If A+B=45 degree​
djyliett [7]

Answer:

See below

Step-by-step explanation:

\tan A+\tan B + \tan A.\tan B = 1\\\\ \implies \: \tan A +  \tan B =  1 -  \tan A.\tan B  \\  \\ \implies \:  \frac{\tan A +  \tan B}{ 1 -  \tan A.\tan B } = 1\\  \\ \implies \:  \tan (A +  B) = 1 \\  \\ \implies \:  \tan (A +  B) =\tan 45 \degree \\  \\ \implies \:  A +  B = 45 \degree \\  \\  thus \: proved

8 0
3 years ago
3 ^ 2 x * 3 - 4 * 3 ^ x + 1 equals 0<br><img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B2x%20%2B%201%7D%20%20%20-%204%20%5Ctim
Sophie [7]


Explanation just use gauth.math
Hope this helps

Answer:

6 0
3 years ago
Find the unit rate for each of the packages. Compare the unit rates. Which is the best price per bagel? A. 1 bagel for $0.79 B.
aivan3 [116]
1st Bagel; $0.79. 2nd Bagel; $0.67. 3rd Bagel; $0.70. 4th Bagel; $0.75. So B would be the correct answer, given 67¢ is cheaper ;)))))))
6 0
3 years ago
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How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation
dimulka [17.4K]

Answer:

To find the cube root of a number is a bit more complicated and in our days is considered impractical, but here is a method explained. Look at the 2nd example scrolling down about 1/3 of the page

If you want to know the concept of square roots and cube roots ?

the square root of a number is that number which when multiplied by itself two times gives us that number

e.g.

√64 = x , so that (x)(x) = 64

and from our multiplication table we know that

(8)(8) = 64 , so that

√64 = 8

the cube root of a number is that number which when multiplied by itself three times gives us that number

e.g.

∛64 = x , so that (x)(x)(x) = 64 , and thus x = 4 because 4x4x4 = 64

so ∛64 = 4

for 9 I wrote Any decimal which terminates is rational

any decimal which has a repeat is rational

any decimal which does not show any repeating decimals and which is never-ending is irrational

Step-by-step explanation:

6 0
3 years ago
What are the solutions of the quadratic equation (x+3)2=49?
Vesnalui [34]
\bf (x+3)^2=49\implies x+3=\pm\sqrt{49}\implies x+3=\pm 7&#10;\\\\\\&#10;x=\pm 7 -3\implies x=&#10;\begin{cases}&#10;4\\&#10;-10&#10;\end{cases}
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3 years ago
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