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1 vote
Find the distance between the two points rounding to the nearest tenth (if necessary).

(6,7) and (4,−1)

User Rohitvats
by
7.1k points

1 Answer

3 votes

Answer:

8.2 units (nearest tenth)

Explanation:

Distance between two points


d=√((x_2-x_1)^2+(y_2-y_1)^2)

where (x₁, y₁) and (x₂, y₂) are the two points.

Given points:

  • (x₁, y₁) = (6, 7)
  • (x₂, y₂) = (4, -1)

Substitute the given points into the distance formula and solve for d:


\implies d=√((4-6)^2+(-1-7)^2)


\implies d=√((-2)^2+(-8)^2)


\implies d=√(4+64)


\implies d=√(68)


\implies d=8.2 \; \sf (nearest\;tenth)

Therefore, the distance between the two given points is 8.2 units to the nearest tenth.

User Tekkavi
by
7.6k points
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