Which of these transformations appear to be a rigid motion? Please help me!!!!!
2 answers:
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Answer:
f(x) = -1/3x +23/3
Step-by-step explanation:
You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:
f(x) = -1/3x +23/3
__
Approaching this in the usual way, we recognize we have points ...
(-1, 8) and (5, 6)
The slope of the line through those points is ...
m = (y2 -y1)/(x2 -x1)
m = (6 -8)/(5 -(-1)) = -2/6 = -1/3
Then the point-slope equation of the line is ...
y - 8 = -1/3(x +1)
Adding 8 gives us a form we can use for a function definition:
f(x) = -1/3(x +1) +8
f(x) = -1/3x +7 2/3
The answer is 5
Here are the steps:
First off, we will be using the distance formula of
So we have the ordered pairs of (3,1) and (6,5)
Once you plug them into the formula it should look like this:
Now we do the math inside the parenthesis and end up with:
Then you multiply by the power and simplify to get:
And the
=5
So your answer is 5
Here are the steps:
First off, we will be using the distance formula of
So we have the ordered pairs of (3,1) and (6,5)
Once you plug them into the formula it should look like this:
Now we do the math inside the parenthesis and end up with:
Then you multiply by the power and simplify to get:
And the
So your answer is 5