Find the distance between the pair of points and round to the nearest tenth.
(5,9) and (-7,-7)
To find the distance between two points, we can use the formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the given points into the formula:
Distance = √((-7 - 5)^2 + (-7 - 9)^2)
Simplifying inside the square root:
Distance = √((-12)^2 + (-16)^2)
Distance = √(144 + 256)
Calculating the sum inside the square root:
Distance = √400
Finding the square root:
Distance = 20
Rounding to the nearest tenth:
Distance ≈ 20.0
Therefore, the distance between the points (5,9) and (-7,-7) is approximately 20.0 units.
To find the distance between two points in a two-dimensional coordinate plane, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's assign the coordinates as follows:
x1 = 5, y1 = 9
x2 = -7, y2 = -7
Now we can substitute these values into the distance formula:
d = √((-7 - 5)^2 + (-7 - 9)^2)
Simplifying:
d = √((-12)^2 + (-16)^2)
d = √(144 + 256)
d = √400
d = 20
Therefore, the distance between the points (5, 9) and (-7, -7) is 20 units.