Find the distance between the points (-5, 2) and (-6, 10).
You can use the distance formula, but it is not on the formula sheet and is
hard to use.
It is easier to plot it on the coordinate plane - Use the Desmos graphing
calculator to plot the points, drop the right triangle, and use the
Pythagorean Theorem.
(1 point)
The vertical distance is 11 and the horizontal distance is 12; answer
approximately 16.3 units
The vertical distance is 1 and the horizontal distance is 8; answer
approximately 8.1 units
The vertical distance is 8 and the horizontal distance is 1; answer
approximately 8.1 units
The vertical distance is 12 and the horizontal distance is 11; answer
approximately 16.3 units
The vertical distance is 8 and the horizontal distance is 1; answer approximately 8.1 units
To find the distance between the points (-5, 2) and (-6, 10), we see that the vertical distance is 8 units (10 - 2) and the horizontal distance is 1 unit (-6 - (-5)). Using the Pythagorean Theorem (a^2 + b^2 = c^2), where a = 8 and b = 1, we get:
8^2 + 1^2 = c^2
64 + 1 = c^2
65 = c^2
c ≈ √65 ≈ 8.1
Therefore, the distance between the two points is approximately 8.1 units.