Does your equation represent a proportionalrelationship? Explain.

Mathematics

1 answer:

ivolga24 [154]3 years ago

4 0

Please attach the equation...

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After selling a dozen copies of the daily newspaper, a newsstand had fewer than 75 copies left. How many copies did the newsstan

Gelneren [198K]

n has less than 75 copies

sold 12

so add the 12 back

n had less than 87 copies in the beginning of the day

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4 years ago

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James has mapped his seat and his teacher's seat on the coordinate plane at (0,10) and (–4,6). Find the distance between their s

wlad13 [49]

Answer:

Distance between their seats is 4√2 units.

Step-by-step explanation:

We are given that James mapped his seat and teacher's seat at (0,10) and (-4,6) on the coordinate plane.

So, distance between their seats= distance between the points (0,10) and (-4,6)

= $\sqrt{(-4-0)^{2}+(6-10)^{2}}$

= $\sqrt{(-4)^{2}+(-4)^{2}}=\sqrt{16+16}$

$=\sqrt{32}=4\sqrt{2}units$

4 0

3 years ago

What is the polar form of Negative 9 StartRoot 3 EndRoot + 9 i?

kondor19780726 [428]

Answer:

Step-by-step explanation:

In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where

$r=\sqrt{a^2+b^2}$ and filling in:

$r=\sqrt{(-9\sqrt{3})^2+(9)^2 }$ (notice we do not put the i in there with the 9).

$r=\sqrt{243+81}$ so

r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:

$tan^{-1}(\frac{b}{a})$ so filling that in, we have:

$tan^{-1}(\frac{9}{-9\sqrt{3} })=\frac{1}{-\sqrt{3} }$ Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is $\frac{5\pi}6}$ , so the polar form of that number is (18, $\frac{5\pi}{6}$ )