Question

Oceanfront has the coordinates of (-3, 2) and Seaside has the coordinates of (4, -4). If each unit represents 5 miles, what is the distance from Oceanfront to Seaside

Answer 1

Answer: 40 miles

Explanation:

coordinates of seaside are (-2, 4)

Let us use the distance formula

d=√(x2−x1)2+(y2−y1)2

Let us substitute the values

d=√(−2−3)2+(4−(−2))2

d=√(−5)2+6 over 2

d=√25+36

So we get,

d = √61

We know that the map represents 5 miles

So the distance from oceanfront to seaside is

d = 5 × √61

d = 39.05125

d ≈ 40 miles

Therefore, the actual distance from oceanfront to seaside is 39.05125 miles or we can approximately say 40 miles.

Answer 2

Use Pythagorean theorem

46.0977 miles

Explanation:

(-3,2) to (4,-4)

7 units on the x -axis

6 units down on the y-axis

Convert that to miles

35 miles on the x-axis, 30 miles on the y-axis

35^{2} + 30^{2} = c^{2}

1225 + 900 = \sqrt{2125}

\sqrt{2125} is 46.0977