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Viefleur [7K]
2 years ago
6

Please help the distance formula

Mathematics
1 answer:
Alexxandr [17]2 years ago
8 0

Answer:

7.8

Step-by-step explanation:

distance formula : d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

where the x and y values are derived from the given points

here the given points are (11,3) and (6,9)

<u>assigning variables</u>

(x1,y1) = (11,3) so x1 = 11 and y1 = 3

(x2,y2) = (6,9) so x2 = 6 and y2 = 9

<u>plugging in values into formula</u>

recall formula d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

==> plug in x1 = 11 , y1 = 3 , x2 = 6 and y2 = 9

d=\sqrt{(6-11)^2+(9-3)^2}

==> subtract values in parenthesis

d=\sqrt{(-5)^2+(6)^2}

==> evaluate exponents

d=\sqrt{25+36}

==> add 25 and 36

d=\sqrt{61}=7.8 ( approximately )

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