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Margaret [11]
4 years ago
7

Simplify the imaginary number sqr -75

Mathematics
1 answer:
m_a_m_a [10]4 years ago
3 0

Answer:

5i\sqrt{3}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

and \sqrt{-1} = i

Given

\sqrt{-75}

= \sqrt{25(3)(-1)}

= \sqrt{25}  × \sqrt{3} × \sqrt{-1}

= 5 × \sqrt{3} × i

= 5i\sqrt{3}

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Snezhnost [94]

Answer:

\sf \huge{\boxed{\sf area = 653.1 cm^2}}

<u>Explanation</u>:

\sf \boxed{\sf area \ of  \ cone=\pi r^2 +\pi rl }

<u>Given:</u>

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<u>using this formula:</u>

\hookrightarrow \sf \pi r^2 + \pi rl

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2 years ago
PLEASE HELP!!!!
den301095 [7]

Answer:

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Step-by-step explanation:

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3 years ago
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-8(r-2)=40 what is the answer to this equation
Elena-2011 [213]
The answer is r=-3. You use the distributive property which is basically multiplying -8 with all the numbers inside the parenthesis. So -8 x r and -8 x -2. This results to -8r+16=40 (Two negative numbers multiplied together will form a positive number). We use inverse operations to subtract 16 from both sides. 16-16 is 0 and 40-16 is 24. So we are left with -8r=24. We want to be left with only r, so we once again use inverse operations to divide -8 from both sides. -8/-8 is 1, and 24/-8 is -3. So we end up with r=-3. Hope this helped :]
6 0
3 years ago
The quantity y varies directly as x and inversely as z. When x is 10 and z is 4, y is 15. What is y when x is 20 and z is 6?
frosja888 [35]
Y=(kx)/z


15=(k10)/4
15=(5k/2)
15=k(5/2)
ties both sides by 2/5 to clear fraction
6=k

y=(6x)/z

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The answer is -9 + 9i. Hope this helped.

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4 years ago
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