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Anarel [89]
3 years ago
13

What is the midpoint of a line segment that begins at the origin (0, 0) and has its endpoint at (-5, -12)?​

Mathematics
1 answer:
crimeas [40]3 years ago
8 0

Answer:

The midpoint is (-2.5, -6)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

(0+-5)/2 = -5/2 = -2.5

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

(0+-12)/2 = -12/2 = -6

The midpoint is (-2.5, -6)

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Train A leaves a station at 8:00 and travels at 100 km per hour towards the next city. One and a half hours later, Train B, an e
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Let t be time in hours.

Train A travels at 100 km per hour, so after t hours it will be 100t km from the station.

Train B travels at 160 km per hour, but it leaves the station one and a half hours later than train A, so its time is (t-1.5) hours. After (t-1.5) hours it will be 160(t-1.5) km from the station.

Train B will overtake train A when their distances from the station are equal.
100t=160(t-1.5) \\
100t=160t-240 \\
100t-160t=-240 \\
-60t=-240 \\
t=\frac{-240}{-60} \\
t=4

Train B will overtake train A after 4 hours since train A left the station. It left the station at 8:00, so train B will overtake it at 12:00.
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3 years ago
Why are radicals simplified before adding and subtracting? Explain your reasoning by adding the square root of 8 and the square
Rashid [163]
The reason they have to be simplified is that you cannot add radical unless the number under the radical is the same on all of them.

For example:

If you add √8 + √32 without simplifying, the best you could do is an estimate. But if you're required to put your answer in standard radical form this would be an issue.

So, you would have to simplify to combine:

√4√2 + √16√2
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Hope this helped!


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3 years ago
What does it mean for a function to have a root?
ZanzabumX [31]

Answer:

Step-by-step explanation:

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Answer:

D          

Step-by-step explanation:

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