Find the distance between the two points to the nearest hundredths place:
7. (1, 3), (-2, 4)
To find the distance between two points, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the distance between two points in a two-dimensional Cartesian plane.
The formula for finding the distance between two points (x1, y1) and (x2, y2) is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Now, let's substitute the given values into the distance formula:
x1 = 1, y1 = 3
x2 = -2, y2 = 4
distance = √((-2 - 1)^2 + (4 - 3)^2)
Simplifying further:
distance = √((-3)^2 + (1)^2)
distance = √(9 + 1)
distance = √10
So, the distance between the points (1, 3) and (-2, 4) is approximately √10.
To find the distance to the nearest hundredths place, we can calculate the square root of 10 using a calculator:
√10 ≈ 3.16227766017
Rounded to the nearest hundredths place, the distance is approximately 3.16.
D = √((-2-1)^2 + (4-3)^2 )
= ...