Answer: The correct option is (B) less than 2.
Step-by-step explanation: Given that Y varies directly with X and has a constant rate of change of 6.
We are to find the possible value of X when the value of Y is 11.
Since Y varies directly with X, so we can write
Since the rate of change is constant and is equal to 6, so we must have
So, from equation (i), we have
Now, when Y = 11, then from equation (ii), we get
Thus, the value of X is less than 2 when Y = 11.
Option (B) is CORRECT.
Answer:
UY = 14
Step-by-step explanation:
In the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U
∴ UY: YZ = 2: 1
∴ =
→ By using cross multiplication
∵ UY × 1 = YZ × 2
∴ UY = 2YZ
∵ UZ = UY + YZ
∴ UZ = 2 + 1 = 3 parts
∵ UY = 2 parts
∴ =
→ Multiply both sides by UZ
∴ UY = UZ
∵ UZ = 21
∴ UY = (21)
∴ UY = 14