SOLUTION: Using the formula y= -2/225x^2 +50 (for outputs greater than 0.)to determine the shape of a satellite dish what are the minimal interior dimensions of a shipping crate needed for t

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Using the formula y= -2/225x^2 +50 (for outputs greater than 0.)to determine the shape of a satellite dish what are the minimal interior dimensions of a shipping crate needed for t      Log On


   

Question 1028938: Using the formula y= -2/225x^2 +50 (for outputs greater than 0.)to determine the shape of a satellite dish what are the minimal interior dimensions of a shipping crate needed for the satellite dish if the machine that is making the dish with that formula is programmed in cm? The only information given is the formula used by the dish-making machine.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+%28-2%2F225%29%2Ax%5E2+%2B+50+
The way I read it, only positive values
of +y+ are to be used
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First I'll solve for +y+=+0+
+%28-2%2F225%29%2Ax%5E2+%2B+50+=+0+
+%28-2%2F225%29%2Ax%5E2+=+-50+
+x%5E2+=+%28+225%2F2+%29%2A50+
+x%5E2+=+5625+
+x+=+75+
and
+x+=+-75+
the dish diameter measures
+75+%2B+75+=+150+ cm
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For the other dimension of the dish I
have to find +y+ when +x=0+
( the center line of th dish )
+y+=+%28-2%2F225%29%2Ax%5E2+%2B+50+
+y+=+%28-2%2F225%29%2A0%5E2+%2B+50+
+y+=+50+
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The box must be 50 x 150 cm2
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here's the plot:
+graph%28+600%2C+300%2C+-100%2C+100%2C+-6%2C+60%2C+%28-2%2F225+%29%2Ax%5E2+%2B+50+%29+