SOLUTION: Which point lies the farthest from the origin? A) (0,-7) B) (-3,8) C) (-4, -3) D) (5,1) I have plotted the points but I need to show my work on my packet and I don't know any o

Algebra ->  Points-lines-and-rays -> SOLUTION: Which point lies the farthest from the origin? A) (0,-7) B) (-3,8) C) (-4, -3) D) (5,1) I have plotted the points but I need to show my work on my packet and I don't know any o      Log On


   

Question 698900: Which point lies the farthest from the origin?
A) (0,-7) B) (-3,8) C) (-4, -3) D) (5,1)
I have plotted the points but I need to show my work on my packet and I don't know any other way other than to plot the points.
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Which point lies the farthest from the origin?
A) (0,-7) B) (-3,8) C) (-4, -3) D) (5,1)
I have plotted the points but I need to show my work on my packet and I don't know any other way other than to plot the points.
------------------
The Origin is point (0,0)
The distance from it is sqrt%28diffy%5E2+%2B+diffx%5E2%29
d = sqrt%28%28y-0%29%5E2+%2B+%28x-0%29%5E2%29+=+sqrt%28y%5E2+%2B+x%5E2%29
Find which is the largest.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You have to use the formula for distance between
two points. One of the points in every case is (0,0)
( the origin ).
distance formula:
+d+=+sqrt%28+%28+x%5B2%5D+-+x%5B1%5D+%29%5E2+%2B+%28+y%5B2%5D+-+y%5B1%5D+%29%5E2+%29+
(A)
( x2, y2 ) = (0, -7)
+d+=+sqrt%28+%28+0+-+0+%29%5E2+%2B+%28+-7+-+0+%29%5E2+%29+
+d+=+sqrt%28+-7+%29%5E2+
+d+=+7+
-----------
(B)
( -3,8 )
+d+=+sqrt%28+%28+-3+-+0+%29%5E2+%2B+%28+8+-+0+%29%5E2+%29+
+d+=+sqrt%28+%28-3%29%5E2+%2B+8%5E2+%29+
+d+=+sqrt%28+9+%2B+64+%29+
+d+=+sqrt%28+73+%29+
+d+=+8.544+
-------------
(C)
(-4,-3)
+d+=+sqrt%28+%28+-4+-+0+%29%5E2+%2B+%28+-3+-+0+%29%5E2+%29+
+d+=+sqrt%28+%28-4%29%5E2+%2B+%28-3%29%5E2+%29+
+d+=+sqrt%28+16+%2B+9+%29+
+d+=+sqrt%28+25+%29+
+d+=+5+
----------
(D)
(5,1)
+d+=+sqrt%28+%28+5+-+0+%29%5E2+%2B+%28+1+-+0+%29%5E2+%29+
+d+=+sqrt%28+5%5E2+%2B+1%5E2+%29+
+d+=+sqrt%28+25+%2B+1+%29+
+d+=+sqrt%28+26+%29+
+d+=+5.099+
-------------
(B) (-3,8) lies farthest from the origin