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nikdorinn [45]
3 years ago
10

What is the midpoint of line segment AB?

Mathematics
2 answers:
Elza [17]3 years ago
8 0

Answer

Midpoint = (3, 5.5)

Step by step explanation

Here we have to use the midpoint formula.

Midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} \\)

Here the point A = (-1, 8) and B = (7, 3)

x1 = -1, y1 = 8, x2 = 7 and y2 = 3

Now plug in these values into the formula.

Midpoint = (\frac{-1 + 7}{2} , \frac{8 + 3}{2}

= (6/2, 11/2)

= (3, 5.5)

Therefore, the midpoint the line segment AB is (3, 5.5)

Thank you.


ad-work [718]3 years ago
5 0

<u>Answer:</u>

(3, 5.5)

<u>Step-by-step explanation:</u>

We are given a line segment AB and the coordinates of two points: A(-1, 8) and B(7, 3) and we are to find the mid-point of line segment AB.

We know that,

<em>mid-point = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )</em>

so putting in the values of the given coordinates to get:

Mid-point of AB = (\frac{-1+7}{2} ,\frac{8+3}{2} )

=(\frac{6}{2} ,\frac{11}{2} )

=(3, 5.5)

Therefore, the mid point the line segment AB is (3, 5.5).

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Answer:

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Step-by-step explanation:

The perimeter of a polygon is said to be the sum of the length of it's sides.

From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are

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To find the distance between two points, we use the formula

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d(cd) = √[(-4)² + 3²]

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Between D and E, we have

d(de) = √[(3 - 6)² + (5 - 5)²]

d(de) = √(-3)² + 0

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Between E and A, we have

d(ea) = √[(3 - 3)² + (5 --1)²]

d(ea) = √[0 + (6)²]

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The perimeter is given as

d(ab) + d(bc) + d(cd) + d(de) + d(ea) =

3 + 5 + 5 + 3 + 6 = 22 units

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