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2 years ago

Please help with this question

Mathematics

1 answer:

vredina [299]2 years ago

5 0

165 - 57 and divide that by 2. So that would be 54

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Perform the indicated operations. Write the answer in standard form, a+bi. 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

2 years ago

Someone please help

VladimirAG [237]

The top answer is correct.

6 0

2 years ago

For a school assembly student sit in chairs that are arranged in 53 rows. There are 12 chairs in each row. About how many studen

loris [4]

53x12=636 that is your answer that is the way to estimate it your answer is 636 that is how many students can be seated

6 0

2 years ago

Write an equation for the line that passes through the points (0, -6) and (-3, 0).

Dmitry [639]

Answer:

$\displaystyle y = -2x -6$

Step-by-step explanation:

x-intercept → Plug in 0 for y to get −3 for x

y-intercept → When x is set equal to 0 [(0, −6)]

I am joyous to assist you anytime.

3 0

2 years ago

Can you solve this question for me?

krek1111 [17]

y+2 = 3x

subtract 2 from each side

y = 3x-2

4 0

2 years ago

Read 2 more answers