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3 years ago

Find the real numbers x and y that make the equation true. -4 + yi = x + 3i

Mathematics

1 answer:

erastova [34]3 years ago

6 0

Equate the real and imaginary parts independently to find x and y.
Real part: -4=x, so x=-4
Imag. part yi=3i, so y=3

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Olegator [25]

Answer:

x= -17

Step-by-step explanation:

When we have 2 points, we can find the slope using

m = (y2-y1)/(x2-x1)

Substituting what we know

1/5 = (0-3)/(x--2)

1/5 = -3/(x+2)

Using cross products

1*(x+2) = 5*(-3)

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3 years ago

. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side

4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

$\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}$

$\cos A=\dfrac{49+196-64}{196}$

$\cos A=\dfrac{181}{196}$

Taking cos inverse on both sides.

$A=\cos^{-1}\dfrac{181}{196}$

$A=22.561328$

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Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

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3 years ago

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gulaghasi [49]

15% x 50 = 7.5
You can search these up in a calculator or in google if you want. The answers should be online.

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IgorLugansk [536]

Answer: The answers are in the steps.

Step-by-step explanation:

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It should be B. right angle and C. complementary angles

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