Question

What is the distance between the points? Round to the

nearest tenth if necessary.
(5,5)
(2, 1)

Answer 1

d = 5 units

Step-by-step explanation:

calculate the distance d, using the distance formula

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

let (x₁, y₁ ) = (5, 5 ) and (x₂, y₂ ) = (2, 1 )

substitute these values into the formula for d

d =
`√((2-5)^2+(1-5)^2)`

=
`√((-3)^2+(-4)^2)`

=
`√(9+16)`

=
`√(25)`

= 5 units

Answer 2

To find the distance between the points (5,5) and (2,1), we use the distance formula resulting in a distance of 5 units.

Step-by-step explanation:

The student has asked how to find the distance between two points. This is a mathematics problem that can be solved using the distance formula, which is derived from the Pythagorean theorem. The formula to calculate the distance (d) between two points (x1, y1) and (x2, y2) is:

d = √[(x2 - x1)² + (y2 - y1)²]

For the given points (5,5) and (2, 1), the calculation would be as follows:

d = √[(2 - 5)² + (1 - 5)²]

d = √[(-3)² + (-4)²]

d = √[9 + 16]

d = √[25]

d = 5

Therefore, the distance between the two points is 5 units. If needed, we would round the result to the nearest tenth, but in this case, we have an integer value.