Solve x2+12x=-11 by completing the square . Which is the the solution set of the equation?
2 answers:
Answer:
{- 11, - 1 }
Step-by-step explanation:
Since the coefficient of the x² term is 1 , to complete the square
add (half the coefficient of the x-term )² to both sides
x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side
(x + 6)² = 25 ( take the square root of both sides
= ±
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
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The scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.
<h3>What is the dilation of the figure?</h3>Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
Point c is the center of dilation. Line segment BA is dilated to create line segment b prime, a prime. The image of the given problem is attached below. The length of CA is 4.
The length of a prime is 16.
The new dimension will be,
Now, the scale factor is the ratio of the new dimension to the original dimension. Thus, the scale factor of the dilation is,
This will be the same for the line segment BA. Thus, the scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.
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