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Firlakuza [10]
2 years ago
8

what is the equation of the line that passes through (6,2) and is perpendicular to the a line with slope -1/3

Mathematics
1 answer:
salantis [7]2 years ago
3 0

Answer:

y =  -  \frac{1}{3} x + 4

Step-by-step explanation:

point slope formula for equation of line

y - y1 = m(x - x1)

point is (6,2) slope is -1/3

y - 2 =  -  \frac{1}{3} (x - 6) \\ y - 2 =  -  \frac{1}{3} x + 2 \\ y =  -  \frac{1}{3} x + 4

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I need help with answering question 16 on spring board algebra 2 pg. 35 the questions says solve the system using substitution t
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x = 147

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Step-by-step explanation:

I got a bit confused by what you said, but I think you need help being shown how to do 16, so hopefully the following will help!

So to use substitution you "plug in" the expression into each other. Here is what to do for 16!

[] First, we need to find which expression can be plugged in. The first one works! It is set equal to x, so we can easily plug it in.

[] Now, we need to set up our equation!

3y - x = -13

      /\

4y + 19 = x

3y - 4y + 19 = -13

[] Now, we <u>solve for y</u> and simplfy!

3y - 4y + 19 = -13

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(I subtracted 19 for both sides and combined the y's)

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5 0
3 years ago
If z7=4-3i, thenz7 is<br> Select one:<br> O-7<br> O 7<br> O 5<br> O -5
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By using Euler's notation, we will see that:

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<h3>How to get z^7?</h3>

We know that:

z = 4 - 3i

Remember that for a complex number:

w = a + bi

In Euler's notation, we can write this as:

w = √(a^2 + b^2)*e^(i*Atan(b/a))

Then, for z, we will get:

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Now, if we apply an exponent of 7 to this number, we will get:

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If you want to learn more about complex numbers, you can read:

brainly.com/question/10662770

4 0
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