Question

A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, −3) and Boat B is docked at (−3.4, −3). The boats are ____ units apart.

A: 5.8
B: 6.4
C: 8.8
D: 9.4

Answer 1

The correct answer is:

A: 5.8

Step-by-step explanation:

We use the distance formula to find this answer:

`d=√((y_2-y_1)^2+(x_2-x_1)^2)`

Using our points, we have:

`d=√((2.4--3.4)^2+(-3--3)^2)</p><p>\\</p><p>\\=√((2.4+3.4)^2+(-3+3)^2)</p><p>\\</p><p>\\=√(5.8^2+0^2)=√(33.64+0)=√(33.64)</p><p>\\</p><p>\\=5.8`

Answer 2

`|xb - xa|`

`| - 3.4 - 2.4|`

`| - 5.8| = 5.8`