Find the distance CD rounded to the nearest tenth. C=(7,-4) D=(-8,-5) CD=?
change in x = -15
change in y = -1
distance = sqrt(225+1) = sqrt(226)
To find the distance between two points on a coordinate plane, we can use the distance formula. The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Given the coordinates of points C and D as C(7, -4) and D(-8, -5) respectively, we can substitute these values into the distance formula to find the distance CD:
d = sqrt((-8 - 7)^2 + (-5 - (-4))^2)
d = sqrt((-15)^2 + (-1)^2)
d = sqrt(225 + 1)
d = sqrt(226)
Now, to round the distance to the nearest tenth, we can round the square root of 226 to the nearest tenth:
d ≈ 15.03
Therefore, the distance CD rounded to the nearest tenth is approximately 15.0 units.