Question

find distance of A(5,-3),B(-2,5)​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

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)

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_/(113)