Find the distance between point M(−4, 3) and N(9, −2). Round your answer to the nearest tenth. Click Here for Help Video. Click Here if you would like to create a visual.(1 point)
The distance is about
units.
The distance between two points can be found using the distance formula:
d = √((x2 - x1)² + (y2 - y1)²)
For M(-4, 3) and N(9, -2), the x-coordinates are -4 and 9, and the y-coordinates are 3 and -2. Plugging these values into the formula, we get:
d = √((9 - -4)² + (-2 - 3)²)
= √(13² + (-5)²)
= √(169 + 25)
= √194
≈ 13.9
The distance between point M(-4, 3) and N(9, -2) is about 13.9 units.
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The distance formula is:
d = sqrt((x2 − x1)² + (y2 − y1)²)
Where:
- d represents the distance between the points
- (x1, y1) are the coordinates for the first point
- (x2, y2) are the coordinates for the second point
In this case, point M has coordinates (-4, 3) and point N has coordinates (9, -2).
Substituting these values into the distance formula, we get:
d = sqrt((9 - (-4))² + (-2 - 3)²)
Simplifying further:
d = sqrt((13)² + (-5)²)
d = sqrt(169 + 25)
d = sqrt(194)
Rounding the answer to the nearest tenth, we get:
d ≈ 13.9
Therefore, the distance between point M(-4,3) and N(9,-2) is about 13.9 units.
To find the distance between two points, we can use the distance formula.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's label the coordinates of point M as (x1, y1) and the coordinates of point N as (x2, y2).
M(-4, 3)
N(9, -2)
Using the formula, we can calculate the distance as follows:
d = √((9 - (-4))^2 + (-2 - 3)^2)
d = √((13)^2 + (-5)^2)
d = √(169 + 25)
d = √194
d ≈ 13.928
Rounded to the nearest tenth, the distance between M(-4, 3) and N(9, -2) is approximately 13.9 units.