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Find the distance between S(-3,2) and T(4,5).

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Answer: Distance = 7.62 units.

Explanation:

The formula for distance is D = the square root of (x2 - x1)^2 + (y2 - y1)^2.

S(-3, 2): x1 = -3 and y1 = 2.

T(4, 5): x2 = 4 and y2 = 5.

Let’s put those in our formula.

D = the square root of (4 - (-3))^2 + (5 - 2)^2
Solve the numbers in the parantheses.

D = the square root of (7)^2 + (3)^2

Square the numbers.

D = the square root of 49 + 9

Add them.

D = the square root of 58.

Finally, square root 58.

D = 7.62 units.

User Juanse
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