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den301095 [7]
2 years ago
9

Find its x-coordinate.

Mathematics
1 answer:
Ilya [14]2 years ago
7 0

Answer:

2.5

Step-by-step explanation:

The formula to find the midpoint of a line segment: (\frac{1}{2}x_{1} + \frac{1}{2}x_{2}, \frac{1}{2}y_{1} + \frac{1}{2}y_{2})

<u><em>Where:</em></u>

x_{1} = -5\\x_{2} = 10\\y_{1} = 9\\y_{2} = 8

1) Substitute the values into the midpoint formula.

(\frac{1}{2}*-5 + \frac{1}{2}*10, \frac{1}{2}*9 + \frac{1}{2}*8)

2) Solve it.

= (-2.5 + 5, 4.5 + 4)

= (2.5, 8.5)

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A environmental initiative has the goal of saving at least 25 2525 million hectares of rainforest through both planting trees an
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Answer:

The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.

Step-by-step explanation:

Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.

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That is:

<em>X</em> + <em>Y</em> = 25....(i)

Now it is provided that:

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  • The cost of purchasing land is $ 260 per hectare.
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Using the above data it can be said that:

400<em>X</em> + 260<em>Y</em> = 8250....(ii)

Solve equations (i) and (ii) simultaneously.

\ \ \ \ x+y=25]\times 260\\400x+260y=8250\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\\Rightarrow\\\\260x+260y=6500\\400x+260y=8250\\(-)\_\_\_\_\_\ (-)\_\_\_\_(-)\_\_\_\\\\\Rightarrow\\\\-140x=-1750\\\\x=\frac{1750}{140}\\\\x=12.5

Then the value of <em>y</em> is:

x+y=25\\y=25-x\\y=25-12.5\\y=12.5

Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.

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3 years ago
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If he wants to earn $252 per month, we can express the following

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