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3 years ago

A bakery has 40 different flavored muffins

Mathematics

1 answer:

GarryVolchara [31]3 years ago

3 0

Answer:

nice

Step-by-step explanation:

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Which is the correct step below for using the grouping method to factor the following polynomial? 8x - 6 - 12x2 + 9x

IrinaVladis [17]

8x - 6 - 12x^2 + 9x

2(4x-3)-3x(3x-3)

=> (2-3x)(3x-3)

=> 3(x-1)(2-3x)

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Answer:

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3 years ago

under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

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2 years ago