Question

Which is the best estimate of the distance between the point (-25,10) and the origin?

Answer 1

The distance between (-25,10) and the origin is 27 units.

Explanation:

We have given a point.

Let (x₁,y₁) = (-25,10)

We have to find the distance between given point and origin.

Origin is at (0,0).

Let (x₂,y₂) = (-25,10)

The formula to find distance between two points is:

d = √(x₂-x₁)²+(y₂-y₁)²

Putting values in above formula, we have

d = √(0-(-25))²+(0-10)²

d = √(25)²+(-10)²

d = √625+100

d = √725

d = 26.925 ≅27 units

Hence, distance between (-25,10) and the origin is 27 units.

Answer 2

For this case, we have that the distance between two points is given by:

`d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}`

We have the following points:

`(x_ {1}, y_ {1}) = (0,0)\\(x_ {2}, y_ {2}) = (-25,10)`

Substituting:

`d = \sqrt {(- 25-0) ^ 2 + (10-0) ^ 2}\\d = \sqrt {(- 25) ^ 2 + (10) ^ 2}\\d = \sqrt {625 + 100}\\d = \sqrt {725}\\d = 26.92582404`

The distance is approximately 27.

Answer:

27