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Slav-nsk [51]
3 years ago
7

Rewrite square root of -49 -4 in complex number notation please help

Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Note that if i^2=-1 than i=\sqrt{-1},

Also note that \sqrt{ab}=\sqrt{a}\sqrt{b}

So we have,

\sqrt{-49}=\sqrt{-1}\sqrt{49}=\boxed{7i}

and,

\sqrt{-4}=\sqrt{-1}\sqrt{4}=\boxed{2i}

Hope this helps.

r3t40

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The point (12, 190) means that the temperature after 12 hours is 190 degrees Celsius

<h3>How to make a scatter plot?</h3>

To do this, we make use of the following points

(12, 190), (14, 201), (15, 301), (16, 305), (18, 350), (20, 40), (25, 450)

Where x represents the number of hours and y represents temperature

See attachment for the scatter plot.

<h3>The description of a point</h3>

To do this, we make use of the point (12, 190)

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2 years ago
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A triangle is rotated around N to give the primed version.


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3 years ago
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Gnom [1K]

9x - 24 + 4x = -24 + 14x - x

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Answer is All real numbers

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Lizzie has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Algebraically determine how many of each t
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Lizzie has 18 dimes and 12 quarters

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that LIzzie has 30 coins

number of dimes + number of quarters = 30

d + q = 30 ---- eqn 1

Also given that the coins total $ 4.80

number of dimes x  value of 1 dime + number of quarters x  value of 1 quarter = 4.80

d \times 0.10 + q \times 0.25 = 4.80

0.1d + 0.25q = 4.8 ------ eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 30 - q ---- eqn 3

Substitute eqn 3 in eqn 2

0.1(30 - q) + 0.25q = 4.8

3 - 0.1q + 0.25q = 4.8

0.15q = 1.8

<h3>q = 12</h3>

From eqn 3,

d = 30 - 12

<h3>d = 18</h3>

Thus she has 18 dimes and 12 quarters

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