Which of the following is a good way to quickly determine whether 3/12 and 1/4 are equal
2 answers:
For this case we must indicate a form to determine if the following expressions are equal:
It is observed that if we multiply the numerator and denominator of the second fraction by "3" we obtain the first fraction:
Similarly, if we divide the numerator and denominator of the first fraction between "3" we obtain the second fraction.
ANswer:
Divide the numerator and denominator of the first fraction between "3" or
Multiply the numerator and denominator of the second fraction by "3"
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Answer:
y = 3x -1
Step-by-step explanation:
When the given points are dilated by a factor of 1/5 about the origin, each of the coordinate values is multiplied by 1/5. The points after dilation are ...
... (2/5, 1/5), (-1/5, -8/5)
The line through these points can be found starting with a 2-point form of the equation for the line.
... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)
Filling in the point values gives ...
... y -1/5 = (-8/5 -1/5)/(-1/5 -2/5)(x -2/5)
... y = (-9/5)/(-3/5)(x -2/5) +1/5 . . . . simplify parentheses, add 1/5
... y = 3x -1 . . . . . simplify
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The graph shows the original points and the line through them in red, and the dilated points and line in green.
