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3 years ago

Solve the equation by completing the square. 0=x^2-14x+46

Mathematics

1 answer:

Andru [333]3 years ago

6 0

Answer:

x = 7+√(3), 7-√(3)

Step-by-step explanation:

x^2 - 14x + ___ = -46 + ___

x^2 - 14x + 49 = -46 + 49

(x-7)^2 = 3

√(3) = x-7

x = 7+√(3), 7-√(3)

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Taylor walks 7 miles in 2 hours. At what unite rate dose Taylor walk

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Answer:

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Answer:

The best estimate of the area of the larger figure is $693\ cm^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

$z=\frac{x}{y}$

we have

$x=12\ cm$

$y=9\ cm$

substitute

$z=\frac{12}{9}=\frac{4}{3}$ -----> the scale factor

step 2

Find the area of the larger figure

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

$z^{2}=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=390\ cm^{2}$

substitute and solve for x

$(\frac{4}{3})^{2}=\frac{x}{390}$

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