5/3g = 2g - 2/3g + 2
1 answer:
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Coordinates of point C: (1,-1)
Step-by-step explanation:
In this problem, A, B and C are collinear, and B is between A and C.
The ratio AB : BC is 3 : 1.
This means that we can write the following two equations:
where:
are the coordinates of point A
are the coordinates of point B
are the coordinates of point C
Solving the equation for ,
Solving the equation for ,
So, the coordinates of point C are
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Answer:
Marty's function has larger slope as compared to Ethan's slope.
Step-by-step explanation:
Marty function:
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.
Writing in mathematical form:
Marty has written expression in point-slope form: where m is slope
So, comparing Marty's equation with general point-slope form equation we get slope
Now, Ethan has a table
x y
-4 9.2
-2 9.6
0 10
2 10.4
We can find slope using formula:
Using any two points, we can find slope of Ethan's equation
So, we get Marty's slope = 0.3
Ethan's slope = 0.2
So, Marty's function has larger slope as 0.3 is greater than 0.2