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ra1l [238]
2 years ago
13

Find the midpoint of the line segment with endpoints (-4, 16) and (6, -10).

Mathematics
1 answer:
Alenkasestr [34]2 years ago
3 0

Answer:

<h3>B. (1,3)</h3>

Step-by-step explanation:

<h3>What is a midpoint?</h3>

Midpoint a point equidistant from the ends of a line or the extremities of a figure.

To find the midpoint of the line segment with endpoint, use the midpoint formula.

<u>Midpoint formula:</u>

\Rightarrow: \sf{\dfrac{x_2+x_1}{2}, \dfrac{y_2+y_1}{2} }}}

y2=(-10)

y1=16

x2=6

x1=(-4)

<u>Rewrite the problem down.</u>

\sf{\left(\dfrac{6-4}{2},\:\dfrac{-10+16}{2}\right)}

<u>Solve.</u>

6-4=2

2/2=1

-10+16=6

6/2=3

<u>= (1,3)</u>

Therefore, the correct answer is B (1,3).

I hope this helps, let me know if you have any questions.

To learn more about midpoint:

brainly.com/question/5127660

#SPJ1

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A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.
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Answer:

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or

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Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

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The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

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The linear equation that represent this problem is

x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}

Convert mixed number to an improper fractions

1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}

3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}

Substitute in the expression above

x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}

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24x=84-46

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x=\frac{38}{24}\ pounds

simplify

x=\frac{19}{12}\ pounds

Convert to mixed number

\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds

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