Answer:
k = 3
Step-by-step explanation:
Given that y and x are directly related then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 81 when x = 27
k = 
= 
= 3
Answer:
The answer is 140
Step-by-step explanation:
You multiply 400 by 0.35 to get your answer. So, it would be 140 :) Hope i helped!
Answer:
B. -9
Step-by-step explanation:
The equation would be f(-3)=-3^2
3*3 is 9
Add the - back on, and you get -9
I hope this helps!
The answer would be
x² + 18x + 81 = 44 + 81
To complete the square, we look at the value of b (the coefficient of x). We take half of it, then square it; this is the number that gets added to both sides.
18/2 = 9; 9²=81
Therefore we add 81 to both sides.
Answer:
first piece = 5 m
second piece = 2(5) + 2 = 12 m
third piece = 3(2x + 2) = 6(5) + 6 = 36 m
Step-by-step explanation:
The question is incomplete, the length of the actual rope is unknown but it should be given . Let us assume the length of the rope is 53 meters.
The rope is cut into 3 pieces of different length.
first piece = x
second piece = 2x + 2
third piece = 3(2x + 2) = 6x + 6
Since the length of the actual rope is assumed to be 53 meters .The length of the first piece, second piece and third piece can be calculated as follows.
we add the length of the pieces to get the actual length of each piece. Therefore,
x + 2x + 2 + 6x + 6 = 53
collect like terms
9x + 8 = 53
9x = 53 - 8
9x = 45
x = 45/9
x = 5 meters
first piece = 5 m
second piece = 2(5) + 2 = 12 m
third piece = 3(2x + 2) = 6(5) + 6 = 36 m
