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crimeas [40]
3 years ago
9

How to multiply this (7 + i)(6 − 7i) ?

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
7 0

FOIL

7(6)+7(-7i)+6(i)+i(-7i)

42-49i+6i-7i^2

7i^2-43i+42

nikdorinn [45]3 years ago
4 0

What you need to do is first multiplying by using the Foil method. <u>The foil method is multiplying the terms which occur last in each binomial</u>

Than you combine the real imaginary parts of the expression. so the Answer is

49 - 43i Hope this helps :)

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If f(x) = negative 3X -2, what if f(-5)?
Scrat [10]

Answer:

f(- 5) = 13

Step-by-step explanation:

Substitute x = - 5 into f(x)

f(x) = - 3x - 2 , then

f(- 5) = - 3(- 5) - 2 = 15 - 2 = 13

6 0
3 years ago
A 40-foot tree casts a 12-foot shadow. How long is the shadow of a 5-foot-tall person?
Reptile [31]

Answer:

D

Step-by-step explanation:

For this type of problem, we need to think of it as a ratio.

The first tree to shadow ratio would be 40:12 this can be simplified to 20:6 which can be simplified to 10:3.

The second ratio is 5:x. I say x because it's an unknown number. Since 5 is half of ten, then the x would be half of three. Therefore the answer is D.

6 0
4 years ago
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how do you do #3? if you can please take a picture or just explain the process, not just the answer. (i don’t need a super detai
oee [108]

Hello from MrBillDoesMath!

Answer:

z = 28 (y/x)

Discussion:

" z varies inversely with x and directly with y"  translates into

z = k * (y/x)                 (*)

Substituting x = 2, y = 3, z = 42  in (*) gives

42 = k (3/2)                        =>   multiply both sides by 2/3

42 (2/3) = k (3/2)(2/3)         =>  42(2/3) = 28; (3/2)(2/3) = 1

28 = k

Conclusion:

z = 28 (y/x)

 

Thank you,

MrB

5 0
3 years ago
What’s 53/3 simplified
aleksley [76]

Answer:

<em>53/3 simplified is 17 2/3</em>

3 0
3 years ago
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A train moving at a constant speed travels 3 miles every five minutes. A car moving at a constant speed travels 12 miles every 2
vodomira [7]
They are traveling at the same speed.
5 0
4 years ago
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