Answer:
QV = 36 UNITS
Step-by-step explanation:
Centroid of a triangle divides the median in the ratio 2 : 1.
QU is the median and V is Centroid. Therefore,
QV : VU = 2 : 1
Let QV = 2x & VU = x
QV + VU = QU
2x + x = 54
3x = 54
x = 54/3
x = 18
QV = 2x = 2*18 = 36
Answer:
We conclude that the slope of the graph of y = 5 x is 5.
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
where
Given the line
y = 5x
comparing with the slope-intercept form of the line equation
The slope of the line = m = 5
Therefore, we conclude that the slope of the graph of y = 5 x is 5.
Answer:
Yes, "y" varies directly with "x".
The equation is: 
Step-by-step explanation:
By definition, Direct variation equations have the following form:

Where "k" is the Constant of variation.
If you solve for "k", the equation is:

Then, given the table provided in the exercise, you can know if "y" varies directly with "x" by finding the quotient of the correspoding values of "x" and "y":
- Dividing
by
you get:

- Divide
by
:

- Dividing
by
:

Since the quotient is constant, then "y" varies directly with "x" and the the Constant of variation is:

Therefore, the equation for the Direct variation is:
