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lys-0071 [83]
3 years ago
12

The temperature when Spencer arrived at school was a very chilly

Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0

Answer is 13°F

Step-by-step explanation:

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Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i
Vsevolod [243]

\huge \boxed{\mathfrak{Answer} \downarrow}

\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\

Multiply both numerator and denominator of \sf \frac{5-3i}{-2-9i} \\ by the complex conjugate of the denominator, -2+9i.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)})  \\

Multiplication can be transformed into difference of squares using the rule: \sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}})  \\

By definition, i² is -1. Calculate the denominator.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85})  \\

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85})  \\

Do the multiplications in \sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right).

\large \bf \: Re(\frac{-10+45i+6i+27}{85})  \\

Combine the real and imaginary parts in -10+45i+6i+27.

\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85})  \\

Do the additions in \sf-10+27+\left(45+6\right)i.

\large \bf Re(\frac{17+51i}{85})  \\

Divide 17+51i by 85 to get \sf\frac{1}{5}+\frac{3}{5}i \\.

\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i)  \\

The real part of \sf \frac{1}{5}+\frac{3}{5}i \\ is \sf \frac{1}{5} \\.

\large  \boxed{\bf\frac{1}{5} = 0.2} \\

3 0
3 years ago
Which equation represents a nonlinear function?
Grace [21]

Answer:

B and C

Step-by-step explanation:

Linear functions are written in the format y=mx+b

If a function has an exponent it is nonlinear

6 0
3 years ago
Please help! I don't get it! It is confusing me!
julia-pushkina [17]
Lets solve the equalities first.
NP>MN
Cancel out the N
P>M
Next
MP<MN
Cancel out the M
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5 0
3 years ago
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Answer:

The slope is m=2

Step-by-step explanation:

7 - 3 = 4 in y

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3 years ago
Simplify the following expression, if possible.<br> (xyz)6
saw5 [17]

Answer:

Answer is below

Step-by-step explanation:

The simplified expression would be 6xyz because you distribute the 6 to the (xyz).

If this answer is correct, please make me Brainliest!

8 0
3 years ago
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