Find the distance CD rounded to the nearest tenth C=(6,-5) and D=(-1,-4) ?

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1 Answer
Feb 21, 2018

#\overline{CD} =7.1#

Explanation:

Let's say, #(x_1, y_1)\ \ \ \ \ \text{and}\ \ \ \ \ (x_2, y_2)# are two points in a #xy# plane. We can find the shortest distance between two point by applying the distance formula stated as:

#\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}#

So by putting our given points #(x_1, y_1)=(6, -5)# and #(x_2, y_2)=(-1,-4)# in the distance formula, we have:

#\overline{CD} = \sqrt{(-1-6)^2+(-4-(-5))^2}#

Simplify to get:

#=5\sqrt{2}#