Find the distance between the two points. Round to the nearest tenth.
7. R(5, 2), S(-2, 4)
8. A(-7, -3), S(-5, 4)
The distance between the two points R(5, 2) and S(-2, 4) is 8.2 units.
The distance between the two points A(-7, -3) and S(-5, 4) is 7.6 units.
To find the distance between two points, we can use the distance formula, which is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distances for the given points:
7. R(5, 2), S(-2, 4)
Using the distance formula:
d = sqrt((-2 - 5)^2 + (4 - 2)^2)
= sqrt((-7)^2 + (2)^2)
= sqrt(49 + 4)
= sqrt(53)
≈ 7.3
Therefore, the distance between R(5, 2) and S(-2, 4) is approximately 7.3 units.
8. A(-7, -3), S(-5, 4)
Using the distance formula:
d = sqrt((-5 - (-7))^2 + (4 - (-3))^2)
= sqrt((2)^2 + (7)^2)
= sqrt(4 + 49)
= sqrt(53)
≈ 7.3
Therefore, the distance between A(-7, -3) and S(-5, 4) is approximately 7.3 units.