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igomit [66]
3 years ago
12

Find the coordinates for the midpoint of the segment with endpoints given. (10, 6) and (-4, 8) (7, 7) (3, 7) (7, 3)

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
3 0
The midpoint of the segment with endpoints <span>(10, 6) and (-4, 8) would be
</span>\left(\dfrac{10 + -4}2,\dfrac{6 + 8}2\right) = \left(\dfrac{6}2,\dfrac{14}2\right) = \boxed{(3,7)}<span>
</span>
vodka [1.7K]3 years ago
3 0

Answer:

Mid point (3,7).

Step-by-step explanation:

Given : End point  (10, 6) and (-4, 8)

To find : Mid point .

Solution : We have given  End point  (10, 6) and (-4, 8)

Mid point : (\frac{x_{1} +x_{2}}{2},\frac{y_{1} +y_{2}}{2}).

x_{1}=10

x_{2}=-4

y_{1}=6

y_{2}=8.

Then , (\frac{10 +(-4)}{2},\frac{6 + 8}{2}).

(\frac{10 -4}{2},\frac{14}{2}).

(\frac{6}{2},\frac{14}{2}).

(3,7).

Therefore, Mid point (3,7).

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Find the area of shape 1 and shape 2
kirza4 [7]
You can use Pick's theorem, where:

Area = Number of interior points (points inside the polygon) + \dfrac{1}{2} · Number of boundary points (points on the polygon's perimeter) - 1

so:

1.Yellow:

Interior points = 3
Boundary points = 8

A=3+\dfrac{1}{2}\cdot8-1=3+4-1=\boxed{6\text{ units}}

2. Red:

Interior points = 2
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A=2+\dfrac{1}{2}\cdot10-1=2+5-1=\boxed{6\text{ units}}
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4 years ago
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Answer:

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Step-by-step explanation:

we know that    

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in this problem we have  

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substitute in the formula above  

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