Find the distance between point M (-4,3) and N(9,-2) round to the nearest 10th
To find the distance between two points, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, M (-4,3) corresponds to (x1, y1) and N (9,-2) corresponds to (x2, y2).
Using the formula, we have:
d = sqrt((9 - (-4))^2 + (-2 - 3)^2)
= sqrt((9 + 4)^2 + (-2 - 3)^2)
= sqrt(13^2 + (-5)^2)
= sqrt(169 + 25)
= sqrt(194)
≈ 13.9
Hence, the distance between points M (-4,3) and N (9,-2) is approximately 13.9.
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is expressed as:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the coordinates of point M are (-4, 3) and the coordinates of point N are (9, -2).
Substituting the values into the formula:
Distance = √[ (9 - (-4))^2 + (-2 - 3)^2 ]
= √[ (9 + 4)^2 + (-2 - 3)^2 ]
= √[ (13)^2 + (-5)^2 ]
= √[ 169 + 25 ]
= √[ 194 ]
≈ 13.9 (rounded to the nearest tenth)
Therefore, the distance between point M (-4, 3) and N(9, -2) is approximately 13.9 units when rounded to the nearest tenth.
To find the distance between two points in a coordinate system, we can use the distance formula. The distance formula can be written as:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
For point M(-4,3), the coordinates are (x₁, y₁) = (-4, 3).
For point N(9,-2), the coordinates are (x₂, y₂) = (9, -2).
Now, substitute the values into the formula:
d = √((9 - (-4))² + (-2 - 3)²)
Simplifying further:
d = √((13)² + (-5)²)
d = √(169 + 25)
d = √194
Now, round the value to the nearest 10th:
d ≈ 13.928
Therefore, the distance between point M (-4,3) and N(9,-2) is approximately 13.9 units.