Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-5, -2) and point (8, -3) rounded to the nearest tenth?
10.3 units
12.6 units
1 unit
13 units
d=√(8-(-5))2+((-2)+(-3))2=169+25=194
To find the distance between the two points (-5, -2) and (8, -3) using the distance formula, we substitute the coordinates into the formula:
d = √(x2 - x1)² + (y2 - y1)²
= √(8 - (-5))² + (-3 - (-2))²
= √(13)² + (-1)²
= √169 + 1
= √170
= 13
So, the distance between the two points rounded to the nearest tenth is 13 units.
To find the distance between two points using the distance formula, you need to follow these steps:
1. Identify the coordinates of the two points. Let's call them (x1, y1) and (x2, y2).
2. Plug the coordinates into the distance formula: d = √(x2 - x1)^(2) + (y2 - y1)^(2).
Now let's apply the distance formula to the given coordinates, (-5, -2) and (8, -3).
1. Identify the coordinates:
(x1, y1) = (-5, -2)
(x2, y2) = (8, -3)
2. Plug the coordinates into the formula:
d = √(8 - (-5))^(2) + (-3 - (-2))^(2)
= √(8 + 5)^(2) + (-3 + 2)^(2)
= √(13)^(2) + (-1)^(2)
= √169 + 1
= √170
Rounding √170 to the nearest tenth, we get approximately 13 units.
Therefore, the correct answer is: 13 units.
You have the formula, you have the data, so just plug in and do the arithmetic
btw, the formula is
d = √( (x2 - x1)^2 + (y2 - y1)^2 ) , the entire expression is under the square root