Determine the distance between the points plotted on the graph. Round your answer to the nearest tenth.
The points are: (-2,5) and (-5,-2)
My answer is: 9.9
My work:
(-2,-5)^2 + (5-(-2))^2
= (-7)^2 + (7)^2
= 49 + 49
= 98; square root of 98: 9.9
I re-did it and got
(-2-(-5)^2 + (5-(-2))^2
= (3)^2 + (7)^2
= 9+49
=square root of 58
=7.6
Did I do it right this time?
To determine the distance between two points on a graph, you can use the formula for calculating the distance between two points in a two-dimensional coordinate system. The formula is:
distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Let's use this formula to find the distance between the points (-2, 5) and (-5, -2).
First, substitute the coordinates into the formula:
distance = √[(-5 - (-2))^2 + (-2 - 5)^2]
Simplifying:
distance = √[(-5 + 2)^2 + (-2 - 5)^2]
Next, perform the operations inside the parentheses:
distance = √[(-3)^2 + (-7)^2]
Simplifying further:
distance = √[9 + 49]
distance = √58
Now, rounding the answer to the nearest tenth, we get:
distance ≈ 7.6
Therefore, the correct answer is approximately 7.6, not 9.9.
Not quite...
-2 - - 5
= -2 + 5
= 3