Question

What is the distance from C(-5,6) to D(4,-6)?
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Answer 1

15 units

Explanation:

The distance between any two points (x1,y1) and (x2,y2) on a coordinate plane is given by
`√((x1-x2)^2+ (y1-y2)^2)`

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for the problem given

points are C(-5,6) to D(4,-6)

Thus distance from c to D is explained below by substituting the value of point C and D is distance calculation formula given above

`distance \ CD = √((x1-x2)^2+ (y1-y2)^2)\\=>distance \ CD = √((-5-4)^2+ (6-(-6)^2)\\=>distance \ CD = √((-9)^2+ (6+6)^2)\\=>distance \ CD = √(81+ (12)^2)\\=>distance \ CD = √(81+ 144)\\=>distance \ CD = √(225)\\=>distance \ CD = √(15^2)\\=>distance \ CD = 15`

Thus, distance from C(-5,6) to D(4,-6) is 15 units.