Question

Find the distance between the point 8,5 and 2,0

Answer 1

d ≈ 7.8 units

Explanation:

calculate the distance d using the distance formula

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

let (x₁, y₁ ) = (2, 0 ) and (x₂, y₂ ) = (8, 5 )

substitute these values into the formula for d

d =
`√((8-2)^2+(5-0)^2)`

=
`√(6^2+5^2)`

=
`√(36+25)`

=
`√(61)`

≈ 7.8 units ( to the nearest tenth )

Answer 2

d = √61

Explanation:

• To find the distance between two points, you can use the distance formula.

`\sf d=√(((x_2-x_1)^2+(y_2-y_1)^2)`

• In your case, you want to find the distance between the points (8, 5) and (2, 0). So, you can plug these coordinates into the formula:

`\sf d=√((-6)^2+(-5)^2)\\\\\sf d=√((36)+(25))`

• Now, add the values inside the square root:

`d=√(61)`