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Nutka1998 [239]

3 years ago

15

3. Point A is located at (3,6). The midpoint of line segment AB is point C(11,13). What are the coordinates of point B? Use the

midpoint formula and show ALL work. DO NOT use Desmos.

1 answer:

Korvikt [17]3 years ago

5 0

Coordinates of point B are (19,20)

Step-by-step explanation:

The midpoint of a segment is located exactly halfway between the two ends of the segment.

Given a segment AB with endpoints with coordinates:

$A(x_A,y_A)\\B(x_B,y_B)$

Then the coordinates of the midpoint C are given by

$C(x_C,y_C)=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})$ (1)

In this problem, we know:

A (3,6)

C (11,13)

Therefore we need to find the coordinates of B. We can do it by re-arranging the equations (1):

$x_C=\frac{x_A+x_B}{2}\rightarrow x_B=2x_C-xA$

And substituting,

$x_B=2(11)-3=19$

Similarly, for the y-coordinate,

$y_B=2y_C-y_A=2(13)-6=20$

Therefore the coordinates of point B are

B (19,20)

Learn more about dividing segments:

brainly.com/question/3269852

brainly.com/question/11280112

#LearnwithBrainly

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gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

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This result says that the remainder when we divide the square of any odd integer by 8 is 1.

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Dmitriy789 [7]

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Answer:

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Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

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$[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]$

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