1. Determine the distance between (-3,1) and (5,-6). Round your answer to the nearest tenth. Show all work.
My answer: (-3-5)^2 + (1-6)^2
= (-8)^2 + (-5)^2
= 9.4^2 (89)
I feel like I made a mistake in this. Can someone check my work? :)
(-8)^2 + (7)^2
= 64+49
= 113 =10.6^2
Is this right?
(-3-5)^2 + (1-(-6))^2
yes : )
The length of the line segment is 10.6 units : )
To determine the distance between two points in a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Let's calculate the distance between (-3, 1) and (5, -6) using the distance formula:
Distance = √[(5 - (-3))^2 + (-6 - 1)^2]
= √[(5 + 3)^2 + (-6 - 1)^2]
= √[8^2 + (-7)^2]
= √[64 + 49]
= √113
≈ 10.6 (rounded to the nearest tenth)
So, the correct answer is approximately 10.6 units.