<p>There are 2 towns on a map- Arlington and Betelwood. They are represented by the points (-2,-3) and (-6,-7) respectively. Each unit on the map represents an actual distance of 10 miles. Which of the following is closest to the distance, in miles, between these two towns?
a. 128
b. 57</p>
<p>I found the distance between the two points, and multiplied it by 10. I get 128, but apparently the answer is 57?</p>
<p>Help!</p>
<p>Distance formula. </p>
<p>You must know this.</p>
<p>[The</a> Distance Formula](<a href=“http://www.purplemath.com/modules/distform.htm]The”>The Distance Formula: What it is and how it works | Purplemath)</p>
<p>say your coordinates are
(A,B) and (C,D)</p>
<p>square root of ((A-C)^2 + (B-D)^2) </p>
<p>in your scenario it would be:
square root of ((-2+6)^2 + (-3+7)^2)
this equals = 5.656
But remember you said that each unit represents an actual distance of ten miles, so you multiply 5.656 by 10 and get 56.56 which is roughly 57! Hope this helped :)</p>
<p>Distance formula * 10</p>
<p>i don’t know the distance formula. i just plotted the points on a grid.</p>
<p>the distance is the hypotenuse of a triangle that is 40 on each side. </p>
<p>1600 + 1600 = sqrt 3200 which equals 56.something</p>