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Maurinko [17]
3 years ago
12

Which are the coordinates of the midpoint of JK with endpoints J(-7, -1) and K(13, -6)?

Mathematics
1 answer:
dsp733 years ago
7 0
The x coordinate of J is -7. The x coordinate of K is 13. The x coordinates add up to -7+13 = 6. Divide this result in half to get 6/2 = 3. Therefore, the midpoint has an x coordinate of 3.

The y coordinate of J is -1. The y coordinate of K is -6. The y coordinates add up to -1+(-6) = -7. Divide this result in half to get -7/2. Therefore, the midpoint has a y coordinate of -7/2.

This is why the final answer is choice D) (3, -7/2)
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Step-by-step explanation:

Number selected, =10

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3 years ago
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Solve x+5y=11 and -x+4y=7 using elimination​
ddd [48]

Answer: (1, 2)

Concept:

There are three general ways to solve systems of equations:

  1. Elimination
  2. Substitution
  3. Graphing

Since the question has specific requirements, we are going to use <u>elimination</u>

Solve:

<u>Given expressions</u>

x + 5y = 11

-x + 4y = 7

<u>Add both equations together to elimination [x] variable</u>

(x + 5y) + (-x + 4y) = 11 + 7

x - x + 5y + 4y = 18

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<u>Divide 9 on both sides</u>

9y / 9 = 18 / 9

\boxed{y=2}

<u>Find the x value</u>

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x + 5(2) = 11 ⇔ <em>Substitute values of y</em>

x + 10 = 11 ⇔ <em>Simplify by multiplication</em>

x + 10 - 10 = 11 - 10 ⇔ <em>Subtract 10 on both sides</em>

\boxed{x=1}

Hope this helps!! :)

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Step-by-step explanation:

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Time=18 hours 20 minutes.

First we convert the time to hour

60 minutes = 1 hour

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Therefore her time=18+0.33 hour=18.33hour

We are to determine the average speed of her flight in miles per hour.

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Her average speed is 133.06 miles per hour

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4 years ago
Rational numbers are numbers that can be written as the ______ of _____. What are the blanks?​
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rational numbers are numbers that can be written as the ratio of two integers

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