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Molodets [167]
3 years ago
13

Find the midpoint of the segment between the points (8,-10) and (-10,-8)

Mathematics
2 answers:
Deffense [45]3 years ago
8 0

Answer:

The the midpoint of given line segment = (-1, -9)

Step-by-step explanation:

<u>Points to remember</u>

<u>Midpoint formula</u>

Midpoint of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Midpoint = [( x₁ + x₂)/2 , (y₁ + y₂)/2]

<u>To find the midpoint of given line segment</u>

Here (x₁, y₁) = (8, -10) and (x₂, y₂) = (-10, -8)

Midpoint = [( x₁ + x₂)/2 , (y₁ + y₂)/2]

 = [(8 + -10)/2 , (-10 + -8)/2]

 = [-2/2, -18/2]

 = (-1, -9)

Therefore the midpoint of given line segment = (-1, -9)

Delvig [45]3 years ago
7 0

Answer:

(-1, -9)

Step-by-step explanation:

Recall that for 2 points (x1, y1) and (x2,y2)

the midpoints are given by

x ordinate = \frac{x1+x2}{2}

y ordinate = \frac{y1+y2}{2}

In our case x1 = 8, y1 = -10, x2 = -10, y2=-8

x ordinate = \frac{x1+x2}{2}  = [8 + (-10) ] / 2 = -1

y ordinate = \frac{y1+y2}{2} = [-10 + (-8) ] / 2 = -9

hence midpoint is (-1, -9)

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Answer:

The vertex of the graph of f(x) = |x - 13| + 11 is (13, 11).

Step-by-step explanation:

There is something called absolute value in the given function. It means two equations will result from it.

When (x -13) > 0 the resultant equation is

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When (x - 13) < 0 the resultant equation is

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The intersection of these lines will give the vertex as found by solving both equations at the same time.  

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