Question

what is the distance between points D and H? Round to the nearest tenth of a unit. A.)3.7 units B.) 5.2 units C.)7.3 units D.)9.4 units PLEASE HELP

Answer 1

Use the distance formula.


`\sf√((x_2 - x_1)^2 + (y_2 - y_1)^2)`

(1, 3), (9, 8)
x1 y1 x2 y2


`\sf√((9 - 1)^2 + (8 - 3)^2)`


`\sf√((8)^2 + (5)^2)`


`\sf√(64 + 25)`


`\sf√(89)`


`\sf\approx 9.4`

Answer 2

Find out the distance between points D and H .

To prove

Now apply the distance formula

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

The points be D (1,3)and H (9,8)

Put in the formula

`DH = \sqrt{(9 -1)^(2) +(8 -3)^(2)}`

`DH = \sqrt{(8)^(2) +(5)^(2)}`

`DH = √(64+25)`

`DH = √(89)`

As

`√(89) = 9.4(approx)`

DH = 9.4 units (approx)

Option (D) is correct .