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Olenka [21]
3 years ago
7

Write the standard form of 16x^2+16y^2-8x-32y=127

Mathematics
2 answers:
kumpel [21]3 years ago
8 0

WRONG



32^2-8x-159=0 because all you have to do is add the two 16x^2
shutvik [7]3 years ago
5 0
What you do it complete the square for x's and y's
group x's and y's together
I mean group x with x and y with y

16x²-8x+16y²-32y=127
group
(16x²-8x)+(16y²-32y)=127
complete the squqare for each
first, factor out linear coefient of each
16(x²-1/2x)+16(y²-2y)=127
take 1/2 of each linear coefient then square it then add negative and positive inisde
(-1/2)/2=-1/4, (-1/4)²=1/16
-2/2=-1, (-1)²=1

16(x²-1/2x+1/16-1/16)+16(y²-2y+1-1)=127
factor perfect squares
16((x-1/4)²-1/16)+16((y-1)²-1)=127
expand
16(x-1/4)²-1+16(y-1)²-16=127
16(x-1/4)²+16(y-1)²-17=127
add 17 to both sides
16(x-1/4)²+16(y-1)²=144
divide both sides by 16
(x-1/4)²+(y-1)²=9
or
(x-1/4)²+(y-1)²=3²
das is equal of circle with center at (1/4,1) and radius of 3
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A Write an equivalent equation that does NOT contain decimals.
vampirchik [111]

                                                     <span>0.5x - 0.1 = -2.9

When you multiply each side of an equation by the same number,
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You should be able to solve that without help.
But I'm about to take your points, so here's
how to solve that equation:

                                            </span><span><span>5x - 1  =  -29

Add  1  to each side:        5x        =  -28

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</span></span>
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3 years ago
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