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Juliette [100K]
3 years ago
8

What is the length of segment AB with point A and B located at (-4, 1) and (2, 9)

Mathematics
2 answers:
Anna35 [415]3 years ago
6 0

Answer:

The length of segment AB is 10

Step-by-step explanation:

The distance formula is d=\sqrt{ (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}

With the points (-4,1) and (2,9) you know that -4=x_{1},  2=x_{2}, 1=y_{1} ,9=y_{2}

Now you put the numbers into the distance formula

d=\sqrt{(2-(-4))^{2}+(9-1)^2

(2-(-4) turns into (2+4) because two negatives equal a positive.

After adding and subtracting you get d=\sqrt{6^2+8^2

You then square 6^2 and 8^2 to get \sqrt{36+64

After adding 34+64 you get \sqrt{100, which is 10

So the length of segment AB is 10

navik [9.2K]3 years ago
4 0

Answer:

<h3>The answer is 10 units</h3>

Step-by-step explanation:

The distance between two points or a line segment can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 1) and (2, 9)

The length of segment AB is

|AB|  =  \sqrt{ ({ - 4 - 2})^{2}  +  ({1 - 9})^{2} }  \\  =  \sqrt{( { - 6})^{2}  +   ({ - 8})^{2} }  \\  =  \sqrt{36 + 64}  \\  =  \sqrt{100}  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 10 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

<h3>10 units</h3>

Hope this helps you

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