3 years ago

If anyone can answer please help meh

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

8 0

Answer:

Step-by-step explanation:

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Round to the nearest hundredth (2 decimal places) when necessary

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3 years ago

Which of the following equations is in equation formed when completing the square on y^2 - 12 y= -27

bogdanovich [222]

Answer:

$(y-6)^2=9$

Step-by-step explanation:

Given

$y^2 - 12y = -27$

Required

Get equivalent expression using completing the square

<em>Follow these steps:</em>

<em>Take the coefficient of y; That is -12</em>

<em>Divide it by 2; That is (-12/2)</em>

<em>Square it: (-12/2)^2</em>

<em />

Add to both sides of the equation

$y^2 - 12y + (\frac{-12}{2})^2= -27 + (\frac{-12}{2})^2$

$y^2 - 12y + (-6)^2= -27 + (-6)^2$

$y^2 - 12y + 36= -27 + 36$

$y^2 - 12y + 36= 9$

Expand the right-hand side

$y^2 - 6y - 6y + 36= 9$

Factorize:

$y(y-6)-6(y-6) =9$

$(y-6)(y-6)=9$

$(y-6)^2=9$

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Step-by-step explanation:

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