Find the distance between -2 and 2+2i

1 answer:

4 0

$z=a+bi\\\\|z|=\sqrt{a^2+b^2}\\\\z_1=-2,\ z_2=2+2i\\\\\text{the distance between}\ z_1\ \text{and}\ z_2:\\\\|z_2-z_1|=|-2+2i-2|=|-4+2i|=\sqrt{(-4)^2+2^2}\\\\=\sqrt{16+4}=\sqrt{20}=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=\boxed{2\sqrt5}$

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Pls help meeeee :))))

valentinak56 [21]

Answer:

31.4 inches

Step-by-step explanation:

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6 0

3 years ago

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What is the height of a rectangular prism that has a volume of 280 cubic meters,a length of 8 meters, and a width of 7 meters? S

lyudmila [28]

When looking at a rectangular prism, we know that Volume = length * width * height

If we are given that the volume of the prism is 280 cubic meters (m^3), the length is 8 meters, and the width is 7 meters, we can fill in our equation.

280 = 8 * 7 * height
280 = 56 * height

Because we are solving for the height, we divide both sides by 56

280/56 = height

height = 5 meters

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3 years ago

The annual 2-mile fun-run is a traditional fund-raising event to support local arts and sciences activities. It is known that th

victus00 [196]

Answer: 0.0228

Step-by-step explanation:

Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

$\mu=30\\\\\sigma=5.5$