2 years ago

Will mark brainliest and rate 5/5 20 POINTS WILL BE GIVEN

Mathematics

1 answer:

lapo4ka [179]2 years ago

6 0

Answer:

b 5/5 plzzzzzzzzzzzzzzz

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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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What inequality describes the solutions of 2y less than or equal to 8?

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Answer:

$y\leq 4$

Step-by-step explanation:

Start with the given

$2y\leq 8\\$

Divide the two on both sides to get

$y\leq 4$

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$125 billion in scientific notation is 1.25*1011

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