Two points are located at (−9,−8) – 9 , – 8 and (−6,−4) – 6 , – 4 .

Question

Two points are located at (−9,−8)

9
,

8
and (−6,−4)

6
,

4
.

Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points.
Math item stem image
CLEAR CHECK
Solve 2+2=2
a
2
+
b
2
=
c
2
for
c
.

=
c
=

Use coordinates to write an expression for the distance between the two points.

=
c
=

( – )² + ( – )²

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Alice 1 week 2021-09-08T13:07:33+00:00 2 Answers 0

Answers ( )

    0
    2021-09-08T13:08:38+00:00

    Answer:

    Two points are located at (−9,−8)

    9

    ,

    8

    and (−6,−4)

    6

    ,

    4

    .

    Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points.

    Step-by-step explanation:

    0
    2021-09-08T13:08:59+00:00

    The distance between the two points is 5 units

    Explanation:

    Given that the two points are located at (-9,-8) and (-6,-4)

    We need to determine the distance between these two points using Pythagorean theorem.

    The distance between the two points can be determined using the formula,

    c=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

    Substituting the coordinates (-9,-8) and (-6,-4) in the above formula, we get,

    c=\sqrt{(-6+9)^2+(-4+8)^2}

    Simplifying, we get,

    c=\sqrt{(3)^2+(4)^2}

    Squaring the terms, we get,

    c=\sqrt{9+16}

    Adding the terms, we have,

    c=\sqrt{25}

    Simplifying, we get,

    c=5

    Thus, the distance between the two points is 5 units.

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