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inna [77]
3 years ago
5

Simplify. 3√-28 A 2i√7 B 12i√7 C 61√7 D -6i√7

Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

C

Step-by-step explanation:

We want to simplify the expression:

\displaystyle 3 \sqrt{-28}

Rewrite:

\displaystyle = 3 \sqrt{ 4\cdot 7 \cdot -1}

Rewrite:

\displaystyle = 3 \cdot \sqrt{4} \cdot \sqrt{7} \cdot \sqrt{-1}

Simplify. Let <em>i</em> = √(-1). Hence:

\displaystyle = 3 \cdot \left(2\right) \cdot \left(i\right) \cdot \sqrt{7}

Multiply:

\displaystyle = 6i\sqrt{7}

In conclusion, our answer is C.

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Please someone help me solve this question
miv72 [106K]

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  D.  right 4, down 8

Step-by-step explanation:

The usual transformations applied to functions are ...

  f(x) ⇒ f(x -h) . . . . translation right h units

  f(x) ⇒ f(x) +k . . . . translation up k units

  f(x) ⇒ k·f(x) . . . . . vertical scaling by a factor of k; reflection over x-axis when k < 0

  f(x) ⇒ f(x/k) . . . . . horizontal scaling by a factor of k; reflection over y-axis when k < 0

In the above, "scaling" will be expansion when |k| > 1, compression when |k| < 1.

__

Your transformation is ...

  x^2 ⇒ (x -4)^2 -8

  f(x) ⇒ f(x -4) -8

This is translation with h=4 and k=-8. That is, it is translation right 4 units and down 8 units.

_____

<em>Additional comment</em>

Like much of math, it is all about matching patterns.

4 0
2 years ago
Plsssssssssssssssssssssssssssssssssssssssssssssssssssss help me thx
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Answer:

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