Question

The distance between the points (1,9) and (x, 5x + 10) is​

Answer 1

Answer:
`√(26x^2+8x+2)`

Work Shown

`(x_1,y_1) = (1,9) \text{ and } (x_2, y_2) = (x,5x+10)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((1-x)^2 + (9-(5x+10))^2)\\\\d = √((1-x)^2 + (9-5x-10)^2)\\\\d = √((1-x)^2 + (-1-5x)^2)\\\\d = √((x^2-2x+1) + (25x^2+10x+1))\\\\d = √(26x^2+8x+2)\\\\`

Since we don't know the value of x, we cannot get a numeric value for the distance d.