Solve the following problem:
What is the distance from (−13, 12) to (−13, −77) ?
(1 point)
To find the distance between two points in a coordinate plane, we can use the formula for distance. The formula for distance, or the distance formula, is derived from the Pythagorean theorem.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) are the coordinates of the first point, and (x2, y2) are the coordinates of the second point.
Let's apply this formula to find the distance between the two given points:
Point 1: (-13, 12)
Point 2: (-13, -77)
Using the formula, we have:
d = √((-13 - (-13))^2 + (-77 - 12)^2)
= √(0^2 + (-77 - 12)^2)
= √(0^2 + (-89)^2)
= √(0 + 7921)
= √7921
= 89
Therefore, the distance between the points (-13, 12) and (-13, -77) is 89 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)
In this case, our two points are (-13, 12) and (-13, -77). Plugging the values into the formula, we have:
d = √((-13 - (-13))^2 + (-77 - 12)^2)
Simplifying further:
d = √((0)^2 + (-89)^2)
d = √(0 + 7921)
d = √7921
Taking the square root of 7921:
d = 89
Therefore, the distance from (-13, 12) to (-13, -77) is 89 units.