anonymous
  • anonymous
A parabola is defined by the following the following equation: x^(2)-10x-y+23=0 What are the coordinates of its vertex?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
gonna have to complete the square;
amistre64
  • amistre64
x^2 -10x = y -23 x^2 -10x +25 = y-23 +25
amistre64
  • amistre64
(x-5)^2 = (y+2)

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More answers

amistre64
  • amistre64
the vertex is at (5,-2) i believe
amistre64
  • amistre64
teh equation tells us the vertex = (5,-2) the distance from vertex to focus or directix = 1/4 the focus is at (5,-1' 3/4) the parabola opens upwards
anonymous
  • anonymous
everyone keeps telling me to complete the squares, but i don't even know how to do that. i am horrible at math.
amistre64
  • amistre64
complete the square is a process used to make a square complete....add the missing parts really.
amistre64
  • amistre64
A complete square can move freely back and forth between to forms; (x+3)^2 = x^2 +6x +9 ^^^^^^^^ this is a complete square
amistre64
  • amistre64
if all we had was: x^2 +6x. then the square is missing a part to it and it is stuck in this form...
amistre64
  • amistre64
How the incomplete square is made tells us alot about the missing parts
amistre64
  • amistre64
in short, we need to take the number that is next to the 'x'.. that 6 there in this case; and split it in half
amistre64
  • amistre64
6/2 = 3 the missing part that we need is then 3^2 x^2 +6x +3^2 = (x+3)^2
myininaya
  • myininaya
THAN square so fun!
myininaya
  • myininaya
well he already did it above so i was late
amistre64
  • amistre64
lol..your just in time ;)
myininaya
  • myininaya
:)
amistre64
  • amistre64
chizz; it takes time and practice to know it good enough to be able to see it
myininaya
  • myininaya
never talked about directex and focus in any of my math classes? what use are these?
amistre64
  • amistre64
the focus and directix are geometry terms used to define a parabola; and any conic section really. It relies upon the geometric interpretation instead of the algebraic
myininaya
  • myininaya
oh i see
amistre64
  • amistre64
a parabola is: all poionts that are equi distant from a straight line from the focus and a perpendicular line to the directix.
anonymous
  • anonymous
lol amistre, nice shirt? :D
amistre64
  • amistre64
thnx :) i made it me self.
anonymous
  • anonymous
seriously? ._. nice, lol np
amistre64
  • amistre64
before i learned about openstudy, i taught myself many things; origami, knitting, crocheting, sister annoying...you know, the basics of life ;)
anonymous
  • anonymous
sister annoying? that must've been an interesting experience lol. Your wife must be so grateful to have you >_<
amistre64
  • amistre64
ironically no :/ but i did get to drive her to the hospital yesterday and see the kids for a bit :)
anonymous
  • anonymous
nah, I bet she is :) but doesn't show it :P? that's nice ^_^

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