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Ivahew [28]
3 years ago
8

Find the distance between m (-2,3) and n (8,2)

Mathematics
2 answers:
uysha [10]3 years ago
8 0
Distance formula : d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
(-2,3)....x1 = -2 and y1 = 3
(8,2)...x2 = 8 and y2 = 2
now we sub and solve
d = sqrt ((8 - (-2)^2 + (2 - 3)^2)
d = sqrt ((8 + 2)^2 + (-1^2)
d = sqrt (10^2) + (-1^2)
d = sqrt (100 + 1)
d = sqrt 101
d = 10.05 <==
SVETLANKA909090 [29]3 years ago
7 0
\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;&({{ -2}}\quad ,&{{ 3}})\quad &#10;%  (c,d)&#10;&({{ 8}}\quad ,&{{ 2}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;d=\sqrt{[8-(-2)]^2+[2-3]^2}\implies d=\sqrt{(8+2)^2+(2-3)^2}&#10;\\\\\\&#10;d=\sqrt{10^2+(-1)^2}\implies d=\sqrt{101}
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Step-by-step explanation:

Equilateral triangle property:

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