Question

PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


A playground is represented on a coordinate grid. The swing set, jungle gym, tire swing, and slide have the following locations: The swing set is at (−4, 2) . The jungle gym is at ​​ (5, 2) . The tire swing is at (5,−4) . The slide is at (−4,−4) . Samir runs from the swing set, then to the jungle gym, then to the tire swing, then to the slide, and then back to the swing set. Each unit on the grid represents 1 yard. What is the total distance Samir has run? Enter your answer in the box.

Answer 1

Woah that's a lot of words! First recall that the distance between two coordinate points is:

d = square root of (x2 - x1)^2 + (y2-y1)^2

Now Let's break the journey down into parts.

1) SWING SET TO JUNGLE GYM
(-4,2) to (5,2)

$d = \sqrt{ {(5 - - 4)}^{2} + {(2 -2 )}^{2} }$

2) GYM TO TIRE SWING
(5,2) to (5,-4)

$d = \sqrt{ {(5 - 5)}^{2} + {( - 4 - 2 )}^{2} }$
3) TIRE SWING TO SLIDE
(5,-4) to (-4,-4)

Now you try the last two!
You can comment the answer and I can check it.

The total distance will be the sum of all the line sections, so we'll need to add up all the d's. And since 1 unit = 1 yard there's no unit conversion. :)

Answer 2

Answer: okay yup, it's 30 yards, i just took the test it was correct!

Step-by-step explanation: