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expeople1 [14]
3 years ago
10

Some of the steps in the derivation of the quadratic formula are shown. Step 3: –c + StartFraction b squared Over 4 a EndFractio

n = a(x squared + StartFraction b Over a EndFraction x + StartFraction b squared Over 4 a squared EndFraction) Step 4a: –c + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared Step 4b: negative StartFraction 4 a c Over 4 a EndFraction + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared Which best explains or justifies Step 4b? factoring a polynomial multiplication property of equality converting to a common denominator addition property of equality
Mathematics
2 answers:
icang [17]3 years ago
8 0

Answer:

The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

svlad2 [7]3 years ago
5 0

Answer:

The square root of terms separated by addition and subtraction cannot be calculated individually

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Answer: (12,9), (6,9), (12,-6) and (6,-6)

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Given: The coordinates of the original rectangle are  (8, 6), (4, 6), (8, −4), and (4, −4).  We know that the coordinates of the image after dilation  from the origin by a scale factor of k is given by:_

(xy)\rightarrow(kx,ky)

Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_

(8, 6)→(8\times1.5,6\times1.5)=(12,9)

(4, 6)→(4\times1.5,6\times1.5)=(6,9)

(8, −4) →(8\times1.5,-4\times1.5)=(12,-6)

(4, −4)→(4\times1.5,-4\times1.5)=(6,-6)

Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).

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