Question

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

Answer 1

The distance would be 5

Explanation:

You would have to use the distance formula, which is:

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

The coordinate 2 is
`x_(2)` and coordinate -1 is
`x_(1)`

And the coordinate 0 is
`y_(2)` and 4 is
`y_(1)`

So now we would put those values into the formula as follows:

`d=\sqrt{((2)-(-1))^(2)+((0)-(4))^(2) }`

According to PEMDAS, we would have to evaluate parenthesis first

*Keep in mind that two negative signs equal a positive

`d= \sqrt{(3)^(2)-(4)^(2)}`

Following with PEMDAS, we'll now square both numbers

`d=√(9+16)`

Evaluate

`d=√(25)`

And simplify

`d= 5`

Answer 2

5

Explanation:

Use the distance formula
`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

insert the numbers into the formula
`d=√((2+1)^2+(0-4)^2)`

2+1=3 and 0-4=-4

`3^2` =9 and
`-4^(2)` = 1

9+16=25

the square root of 25 is 5