What is the distance between the following points?
(-2, 7) (7, 9)
To find the distance between two points in a coordinate plane, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the two points are (-2, 7) and (7, 9). Plugging these values into the formula, we get:
Distance = sqrt((7 - (-2))^2 + (9 - 7)^2)
= sqrt((7 + 2)^2 + (9 - 7)^2)
= sqrt(9^2 + 2^2)
= sqrt(81 + 4)
= sqrt(85)
So, the distance between the two points is sqrt(85) units.
To find the distance between two points (-2, 7) and (7, 9), we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Substituting the given coordinates into the formula, we get:
Distance = √((7 - (-2))^2 + (9 - 7)^2)
= √((9)^2 + (2)^2)
= √(81 + 4)
= √85
Therefore, the distance between (-2, 7) and (7, 9) is √85.
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The formula to find the distance between two points (x1, y1) and (x2, y2) is given by:
Distance = √((x2 - x1)² + (y2 - y1)²)
In this case, the two points are (-2, 7) and (7, 9). Plugging the coordinates into the formula, we have:
Distance = √((7 - (-2))² + (9 - 7)²)
Now, let's calculate the distance:
Distance = √((7 + 2)² + (9 - 7)²)
= √(9² + 2²)
= √(81 + 4)
= √85
Therefore, the distance between the points (-2, 7) and (7, 9) is √85, which is approximately 9.22 units.