Question

Need help with a math question

Answer 1

7.0711

= 7.1 (rounded to nearest tenth)

Explanation:

see attached.

Answer 2

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

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

According to the given data, we have the following points:
`(x_ {1}, y_ {1}) = (6, -5)\\(x_ {2}, y_ {2}) = (- 1, -4)`

Substituting the points in the formula we have:

`d = \sqrt {(- 1-6) ^ 2 + (- 4 - (- 5)) ^ 2}\\d = \sqrt {(- 7) ^ 2 + (- 4 + 5) ^ 2}\\d = \sqrt {(- 7) ^ 2 + (1) ^ 2}\\d = \sqrt {49 + 1}\\d = \sqrt {50}\\d = 7.0711`

Rounding off we have to:

`d = 7.1`

ANswer:

`d = 7.1`