Find the length of RS.
A. 40 units
B. 8 units
C. About 6.3 units
D. About 2.8 units

Find The Length Of RS.A. 40 UnitsB. 8 UnitsC. About 6.3 UnitsD. About 2.8 Units

Answers

Answer 1

Given:

The two points on the graph are R(-2,-4) and S(-8,-6).

To find:

The length of RS.

Solution:

Distance formula: The distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between R(-2,-4) and S(-8,-6) is

[tex]d=\sqrt{(-8-(-2))^2+(-6-(-4))^2}[/tex]

[tex]d=\sqrt{(-8+2)^2+(-6+4)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(-2)^2}[/tex]

[tex]d=\sqrt{36+4}[/tex]

On further simplification, we get

[tex]d=\sqrt{40}[/tex]

[tex]d=6.32455532[/tex]

[tex]d\approx 6.3[/tex]

Therefore, the length of AB is about 6.3 units. So, the correct option is C.


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Answers

Answer:

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Answer:

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