Answer:
The constant of proportionality is 2.
Step-by-step explanation:
In an equation for which we are looking for the constant of proportionality, we use the base form below.
y = kx
In which k is the constant of proportionality. If we use the equation given
y = 2x
We can see k = 2
comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as
so substituting the value of m in to the equation
=
as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0
Answer:
D. They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
I guessed and got it right xD
15 because 10x4 is 40 divided by 2 is 20 and 20-5 =15
Answer:
In a certain sport, teams receive 3 points for each win, 1 point for each draw, and no points for losses. In a five-team tournament in this sport, in which each of teams G, H, J, K, and L played each other team exactly once, did team L finish the tournament with the highest point total?
Step-by-step explanation:
