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Alecsey [184]
2 years ago
10

What is the other endpoint if one endpoint is (10,12) and the midpoint is (6,9).?

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
4 0

Answer:

(2,\, 6).

Step-by-step explanation:

Let (x_{0},\, y_{0}) and (x_{1},\, y_{1}) denote the two endpoints.

The formula for the midpoint of these two points would be:

\displaystyle \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right).

(Similar to taking the average of each coordinate.)

In this question, it is given that x_{0} = 10 whereas y_{0} = 12. Substitute these two values into the expression for the coordinate of the midpoint:

  • x-coordinate of the midpoint: \displaystyle \frac{10 + x_{1}}{2} = 6.
  • y-coordinate of the midpoint: \displaystyle \frac{12 + y_{1}}{2} = 9.

Solve these two equations for x_{1} and y_{1}: x_{1} = 2 whereas y_{1} = 6.

Hence, the coordinate of the other point would be (2,\, 6).

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ludmilkaskok [199]

Answer:

A

Step-by-step explanation:

We have a table listing the number of minutes Trayvon practiced the Backstroke and Butterfly on Monday, Wednesday, and Friday.

We want to find event that Trayvon spent more time practicing.

To do so, we add up all the minutes of one event and compare this to the total minutes of the other event.

Therefore, we can eliminate options C and D. These two options evaluate the time on Wednesday compared to other days, but we want to do is to find which event did Trayvon spend the longest on.

So, let's add up all the minutes spent doing the Backstroke. Trayvon over the course of the three days spent 12.5 mins, 15.67 mins, and 9.32 mins.

Therefore, the total minutes Trayvon spend practicing the Backstroke is:

12.5+15.67+9.32=37.49\text{ mins}

Now, let's add up all the minutes spent doing the Butterfly. Trayvon spent 14.333 mins, 12.1 mins, and 10.78 mins over the course of three days. So, the total time spent doing the Butterfly is:

14.333+12.1+10.78=37.213\text{ mins}

Trayvon spent a total of 37.49 minutes doing the Backstroke and 37.213 minutes doing the Butterfly.

37.49 is greater than 37.213. So, Trayvon spent more time practicing the Backstroke.

So, our correct answer is A.

There are some number and calculation errors in B.

And we're done!

5 0
3 years ago
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Answer:

37.7

Step-by-step explanation:

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8 0
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Round the numbers to the nearest cent and then to the nearest dollar. 23. $62.756 24. $38.415
MrMuchimi

Answer:

23.  $ 62.76  to the nearest cent

      $63.00 to the nearest dollar

24.  $ 38.42  to the nearest cent

      $38.00 to the nearest dollar

Step-by-step explanation:

When we round to the nearest cent we round the second number after the decimal.  We look at the third number after the decimal.  If it is 5 or above we round up.

When we round to the nearest dollar, we round the number befroe the decimal. We look at the number after the decimal.  If it is 5 or above we round up.

23.  $62.756  we round the 5 so we look at the 6   6>= 5  so we round up

         $ 62.76  to the nearest cent

    $62.756  we round the 2 so we look at the 7  7>= 5  so we round up

          $63.00 to the nearest dollar

24. $38.415 we round the 1 so we look at the 5   5>= 5  so we round up

         $ 38.42  to the nearest cent

    $38.415  we round the 8 so we look at the 4  4< 5  so we leave alone

          $38.00 to the nearest dollar

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Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottl
svetlana [45]
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3 years ago
Can someone help me with this ASAP. Thank You!
masha68 [24]
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8 0
3 years ago
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