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castortr0y [4]
3 years ago
15

Multiply and express your answer in standard form (-2+7i)(3+4i)

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

-34 + 13i

Step-by-step explanation:

to solve (-2 + 7i)(3+4i), we can use FOIL which is:

First

Outside

Inside

Last

lets start off with F, we multiply the first 2 terms of each expression

(-2 + 7i)(3+4i)

this gives us -6

next is O, we multiply the 2 outside times of the expression:

(-2 + 7i)(3+4i)

this gives us -8i

I is the next step, we multiply the 2 terms on the inside:

(-2 + 7i)(3+4i)

this gives us 21i

the last step is the letter L in which we multiply the last terms of each expression:

(-2 + 7i)(3+4i)

this gives us -28, and the reason for that is because if we multiply 7i × 4i gives us 28i². i² is equal to -1, so we multiply 28 by -1 which gives us -28

so this gives us the new expression:

-6 -8i + 21i - 28

we now combine like terms which gives us the expression

-34 + 13i

this cannot be simplified any further, so this is our answer in standard form

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The measure of the vertex angle of an isoceles triangle is one- fourth that of a base angle
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Answer:

Base angle = 72

Vertex angle = 18

Step-by-step explanation:

Measure of the base angle = x. But there are two of them. (Definition of isosceles).  Keep that in mind.

The vertex angle is 1/4 of one of the base angles. That means that the vertex is 1/4 x

All three angles = 180 degrees.

So we have x + x + x/4 = 180 degrees.

change 1/4x to 0.25x x since 1/4 = 0.25

Equation

x + x + 0.25 = 180

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Solution

2.5x = 180                      Divide by 2.5 on both sides

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Answer

That means that each base angle = 72 degrees

The Vertex Angle = 72/4 = 18

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Step-by-step explanation:

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