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liq [111]
3 years ago
13

Need help with dilation with a scale factor of 1/2 centered at (−1, 3)

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

A scale factor of 1/2 makes the triangle half the size of the original.


The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.

It is 6 units long, so 1/2 would be 3 units long.


Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:


Midpoint ( -1-5/2 , 3+7/2)

Midpoint = (-6/2 , 10/2)

Midpoint = -3,5


This is where the top left corner of the scaled triangle would be.


See attached picture:


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A medical researcher needs 6 people to test
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\boldsymbol{\mathbf{Answer}}

\boldsymbol{\mathbf{1235520\,different\, ways\,can\,six\, people\,be\, selected}}

\boldsymbol{\mathbf{Step-by-step explanation}}

A medical researcher need to select 6 people out of 13 people who have volunteered for the test in

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= {13}\times{12}\times{11}\times{10}\times{9}\times{8}

=

\boldsymbol{\mathbf{= 604800 ways}}

\boldsymbol{\mathbf{1235520\,different\, ways\,can\,six\, people\,be\, selected}}

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