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Find the distance between X(-2,4) and Y(6,1)

User Kuma
by
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1 Answer

2 votes

Answer:

Exact Distance =
\boldsymbol{√(73)} units

Approximate Distance = 8.544 units

====================================================

Step-by-step explanation:

I'll relabel the points as A and B, and I'll be using the distance formula.


A = (x_1,y_1) = (-2,4) \text{ and } B = (x_2, y_2) = (6,1)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((-2-6)^2 + (4-1)^2)\\\\d = √((-8)^2 + (3)^2)\\\\d = √(64 + 9)\\\\d = √(73)\\\\d \approx 8.544\\\\

The exact distance is
√(73) units.

The approximate distance is roughly 8.544 units.

Round the approximate value however your teacher instructs.

User Trevor
by
7.1k points

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