Question

On the grid shown, each distance unit represents one mile. What is the shortest distance, to the nearest tenthof a mile, between Hillburn and Dunford?

Answer 1

To solve this, the best way is to imagine a right triangle. If you conect Hillburn and Dunford with a straight line, and then complete the right triangle, we can use the phytagorean theorem to fin the value of the distance.

H is Hillburn and D is Dunford.

now we count the units that separe H from D, horizontally. H is in x=-3 and D is in x=2. So the distance in x is 5.

For the distance vertically, H is in y=2 and D=-2. The distance in y is 4

Now we can use Pythagoras

`\text{Distance}^2=D_x^2+D_y^2`
`\text{Distance=}\sqrt[]{4^2+5^2}=\sqrt[]{41}`

So the distance is 6.4 miles,