Question

Compute the distance between the two points. (-3, 4) and (21, 11)

a. 19.3
b. 12.2
c. 25

Answer 1

(c)

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 ) = (- 3, 4 ) and (x₂, y₂ ) = (21, 11 )

substitute these values into the formula for d

d =
`√((21-(-3))^2+(11-4)^2)`

=
`√((21+3)^2+7^2)`

=
`√(24^2+49)`

=
`√(576+49)`

=
`√(625)`

= 25 units

Answer 2

The distance between the two given points (-3, 4) and (21, 11) is 25.

Step-by-step explanation:

To compute the distance between two points, you can use the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

For the given points (-3, 4) and (21, 11), substituting the values into the formula:

d = √((21 - (-3))^2 + (11 - 4)^2)

d = √(24^2 + 7^2)

d = √(576 + 49)

d = √625

d = 25