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Help please!!!
What is the distance between the two endpoints in the graph below? If necessary, round your answer to two decimal places.

Help please What is the distance between the two endpoints in the graph below If necessary round your answer to two decimal places class=

Respuesta :

ANCKPOP

Answer:

A) 7.07

Step-by-step explanation:

[tex]The \: distance \: formula = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1) ^{2} } [/tex]

[tex]P_1(-3, -2) \: \: \: \: \: \: \: \: \: \: \: P_2(2, 3)[/tex]

[tex]d = \sqrt{ {(2 - ( - 3))}^{2} + {(3 - ( - 2))}^{2} } \\ d = \sqrt{ {(2 + 3)}^{2} + {(3 + 2)}^{2} } \\ d = \sqrt{ {5}^{2} + {5}^{2} } \\ d = \sqrt{25 + 25} \\ d = \sqrt{25(1 + 1)} \\ d = \sqrt{25(2)} \\ d = \sqrt{25} \times \sqrt{2} \\ d = 5 \sqrt{2} \\d = 7.07106781187 \\ d = 7.07[/tex]

JeanaShupp

Answer:    A. 7.07 units

Step-by-step explanation:

The distance between any two points (a,b) and (c,d) is given by :-

[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]

From the given picture , we can see that the line is passing through (2,3) and (-3,-2).

The distance between (2,3) and (-3,-2) is given by :-

[tex]D=\sqrt{(-2-3)^2+(-3-2)^2}\\\\\Rightarrow\ D=\sqrt{(-5)^2+(-5)^2}\\\\\Rightarrow\ D=\sqrt{25+25}=\sqrt{50}\\\\\Rightarrow\ D=7.07106781187\approx7.07[/tex]

Hence, the distance between the two endpoints = 7.07 units

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