Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
Answer:
no
Step-by-step explanation:
there is 12 inches in a foot
there are 3 feet in a yard
3 x 12 = 36 in in a yard
36 x 5 1/2 is 198
198 is greater than 192
Answer:
The formula for the vertex of the parabola is -b/a. Plugging this in we get -(-4)/1 or 4.
The formula for a hemisphere is: 2/3 π r
if there was a problem to solve, i would be happy to do it.
