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3 years ago

It took Eduardo 8 hours to drive from Buffalo, New York, to New York City, a distance of about 400 miles. Find his average speed

Mathematics

1 answer:

yarga [219]3 years ago

5 0

400 m in 8 hours
200 m in 4 hours
100 m in 2 hours
50 m in 1 hour
His average speed is 50mph

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Which angles are corresponding angles?

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3 years ago

Jessie graphed one of the lines in a system of equations: Y=3x-2 If the system has an infinite number of solutions, which statem

katen-ka-za [31]

Answer:

2, 4, and 5

Step-by-step explanation:

There are three states that a system of linear equations can be in. Intersecting, parallel, and overlapping. Intersecting results in one solution, parallel results in none, and overlapping makes all solutions that are on the line correct. The question says that there are infinite solutions, so it must be overlapping. We can immediately rule out the first one because only points that lie on the line can be solutions. Since we know that the system has all of the solutions shown, 2 has to be true. 3 is the same idea. When you plug the x value (20) into the equation, you get the y value (58) meaning that it must be true. 5 is stated above.

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3 years ago

Read 2 more answers

Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

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3 years ago

Which expression could help you find the distance between (10, 4) and (–6, 4)? A. |10| + |–4| B. |10| + |4| C. |–6| + |4| D. |10

bazaltina [42]

It would be C because |-6| + |4| is basically 6+4 because the lines make the number positive. 6+4 is 10, which is the x value for the point. That 4 unites us the distance between the points.

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3 years ago