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timofeeve [1]
3 years ago
14

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​

Mathematics
1 answer:
Anestetic [448]3 years ago
6 0
<h2>3</h2>

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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Answer...

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Steps....

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2 years ago
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1. -11     2.-3

Make sure to simplify the equation..

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8 0
2 years ago
I need help with number 4
Tju [1.3M]
So you first want to move all variables to one side.

2x = 1/8 + 4x

So perform the opposite of each operation to move it.

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8 0
3 years ago
What is the value of n
Crank

Answer:

The correct answer is option D. 69°

Step-by-step explanation:

Points to remember

1). The sum of angles in a linear pair is 180°

2). In a triangle sum of two angles are equal to the exterior angle of third angle

From the figure we can see a triangle in which two exterior angles area given.

<u>To find the value of n</u>

from figure we get,

n = (interior angle of 131°  + interior angle of 160°)

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n =  49° + 20° =  69°

Therefore the  correct answer is option D. 69°

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3 years ago
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