find distance of A(5,-3),B(-2,5)
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Compute the Euclidean distance between the following points:
p_1 = (5, -3) and p_2 = (-2, 5)
The Euclidean distance between points (x_1, y_1) and (x_2, y_2) is:
sqrt((x_1 - x_2)^2 + (y_1 - y_2)^2)
Substitute (x_1, y_1) = (5, -3) and (x_2, y_2) = (-2, 5):
= sqrt((-(-2) + 5)^2 + (-3 - 5)^2)
-(-2) = 2:
= sqrt((2 + 5)^2 + (-3 - 5)^2)
5 + 2 = 7:
= sqrt(7^2 + (-3 - 5)^2)
-3 - 5 = -(3 + 5):
= sqrt(7^2 + (-(3 + 5))^2)
3 + 5 = 8:
= sqrt(7^2 + (-8)^2)
Multiply each exponent in -8 by 2:
= sqrt(7^2 + (-1)^2×8^2)
8^2 = 64:
= sqrt(7^2 + (-1)^2×64)
(-1)^2 = 1:
= sqrt(7^2 + 64)
7^2 = 49:
= sqrt(49 + 64)
| 1 |
| 6 | 4
+ | 4 | 9
1 | 1 | 3:
Answer: |
| = sqrt(113)
_/(113)
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