SOLUTION: 1. Find the length of the line segment joining the points (5,4) and (-3,4). State the exact length. 2. The diagonals of a rectangle are congruent. If the coordinates of

Question 1029300: 1. Find the length of the line segment joining the points (5,4) and
(-3,4). State the exact length.
2. The diagonals of a rectangle are congruent. If the coordinates of a rectangle are M(0,2), A(4,8), T(7,6) and H(3,0), find the length which would be assigned to each diagonal.State the exact length.
Which numbered choice represents the distance between the points (-3,2) and (1,0)?
1) 7a 2) 7b 3) 7c 4) 7d
4. Two hikers started at the same location. One traveled 2 miles east and then 1 mile north. The other traveled 2 mile west and then 3 miles south.. At the end of their hikes, how many miles apart are the two hikers? State the exact length.
Square the product of all four answers.
Answer by HaileyS(3) (Show Source): You can put this solution on YOUR website!
1.)
The easiest way to solve this is to graph it, but there is another way to do it. The distance formula!
d=√((x_2-x_1 )^2+(y_2-y_1 )^2 )
From this point on it's pretty easy to solve. All you have to do is plug in your numbers and simplify.
d=√((-3-5)^2+(4-4)^2 )
d=√(64+0)
d=√64
d=8
2.)
To do this one, you need to use the distance formula as well. I've showed you above how you can do so, all you need to do is plug in the Points for each diagonal.
3.) I'm not sure about this one but it seems like you just need to find the distance between the points (distance formula once more)
4.)
I usually don't like word problems, but this one is quite easy if you break it down!
I like to think of the hikers standing on a graph. Let's assume they both start out at (0,0).
Hiker A moved 2 to the right and 1 up. So you end up with the hiker standing on point (2,1).
Hiker B moved 2 to the left and 3 down. He'd end up standing on point (-2,-3).
All that's left is to use the distance formula to find the distance between (2,1) and (-2,-3).

If you need more elaborate help feel free to message me!
Hope this helps :)
~Hailey

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