How do I find x and y values of the parametric equations? (When t = 1, 2, 3, and 4) x = √t y = 5 - t After doing that, how do I find the rectangular equation by eliminating the parameter?

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Answer 1 · 2017-12-09T13:57:55

see below

#t=1" "{(x=sqrt1=1), (y=5-1=4 ):}#

#t=2" "{(x=sqrt2), (y=5-2=3 ):}#

#t=3" "{(x=sqrt3), (y=5-3=2 ):}#

#t=4" "{(x=sqrt4=2), (y=5-4=1 ):}#

now to eliminate #t#

#{(x=sqrtt) , (y=5-t ) :}##{:(---(1)),(---(2)):}#

#(1)rarrt=x^2#

#rarr(2)" "y=5-x^2#

#=>x^2+y=5#