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polet [3.4K]
2 years ago
14

Find the midpoint M of the line segment joining the points S = (-8, 3) and T = (2, -1).

Mathematics
1 answer:
Alex2 years ago
6 0

Step-by-step explanation:

use the midpoint formula

( \frac{xs + xt}{2} \:  \:  \frac{ys + yt}{2} )

substitute into the midpoint formula

( \frac{ - 8 + 2}{2}  \:  \:   \frac{3 + ( - 1)}{2} )

solve the above

(

(3 \:  \: 1)

so the x coordinate if your midpoint is 3

the y coordinate of your midpoint is 1

(3;1)

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12x + 10

Step-by-step explanation:

since

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What is the value of the third quartile of the data set represented by this box plot?
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On Monday night Eli ate 1/2 of a pizza. On Tuesday night, Eli ate 1/4 of a pizza. How much pizza did he eat altogether
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Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of π (no approxi
nydimaria [60]

Answer:

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Area: 48 ( cm )^2

Step-by-step explanation:

This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.

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We know that 6 semicircles should be 6 * 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2

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_____________

The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.

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So, the area of the figure should be the following -

Area of Figure = 3 * 2π + 3( 16 - 2π ) = 48 ( cm )^2

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2 years ago
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