Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(6, -1) and (-1, 6)

Answer 1

The distance between the two points is approximately 9.9.

Step-by-step explanation:

The distance between the two points can be found using the distance formula. The formula is:

sqrt((x1 - x2)^2 + (y1 - y2)^2)

Using the coordinates (6, -1) and (-1, 6), we can substitute the values into the formula:

sqrt((6 - (-1))^2 + (-1 - 6)^2)

Calculating the values inside the square root:

sqrt(7^2 + (-7)^2)

Simplifying further:

sqrt(49 + 49)

sqrt(98)

Approximating to the nearest tenth:

9.9

Answer 2

Step-by-step explanation:

here,

(6,-1)=(x1,y1)

(.1,6)=(x2,y2)

we know,

by using distance formula,

distance=
`\sqrt{(x2-x1)^(2)+9y2-y1)^(2)`

=
`\sqrt{(-1-6)^(2)+(6-(-1))^(2)`

=
`\sqrt{49+49`

=7
`\sqrt{2`

therefore, the distance between the two points is 7
`\sqrt{2` units.