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2 years ago

(+6) divided by (+2) a)+12 b)+8 c)+4 d)+3 e)-3

Mathematics

1 answer:

ivolga24 [154]2 years ago

3 0

D +3
Since 6 and 3 are both positive
+ / += +

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A line passes through points (2,5) and (5, 14). What is the slope of this line?

topjm [15]

We know that:

Slope of a line = change in y coordinate / change in x coordinate

We are given:

First point = (2,5)

Second point = (5, 14)

Calculating the change in y coordinate:

change in y (also represented by Δy) = second y - first y

Δy = 14 - 5

Δy = 9

Calculating the change in x coordinate:

Δx = second x - first x

Δx = 5 - 2

Δx = 3

Slope of the line:

Slope = (Δy) / (Δx)

Slope = 9 / 3 [replacing the values]

Slope = 3

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Help!! Which of the following best represents Z1 • Z2 select all that apply

AURORKA [14]

$z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)$

$z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)$

$\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}$

$\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}$

$\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}$

$\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\$

$Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)$

$=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)$

On simplifying, we get

$Z_1* Z_2 =-3\sqrt{2}$

<h2>Therefore, correct option is 1st option.</h2>

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