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Rainbow [258]
2 years ago
7

Please help! I was also wondering if someone can list specific topics i should focus on for my algebra exam

Mathematics
1 answer:
xenn [34]2 years ago
6 0

Answer:

Solving basic equations & inequalities (one variable, linear)

Linear equations, functions, & graphs.

Sequences.

System of equations.

Two-variable inequalities.

Functions.

Step-by-step explanation:

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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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