Answer:
The constant of proportionality is the ratio between two directly proportional quantities. In our tomato example, that ratio is $3.00/2, which equals $1.50. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
:)
Label the given points as follows:
A (0, 5)
B (2, 2)
C (3, 1)
D (4, -1)
The straight line has a constant slope. Therefore it should have the same value when any two of the four points are used to calculate the slope.
Try A and B:
Slope = (2 - 5)/(2 - 0) = -3/2
Try A and C:
Slope = (1 - 5)/(3 - 0) = -4/3
Try A and D.
Slope = (-1 - 5)/(4 - 0) = -3/2
Try B and D.
Slope = (-1 - 2)/(4 - 2) = -3/2
Clearly, C does not lie on the straight line.
Answer: The point that the graph does not pass through is (3,1).
Answer:
B
Step-by-step explanation:
Here, we want to the find the value of the x.
By bisecting the angle, the ray in question divides it into two other angles which are equal.
We proceed as follows;
x + 7 = 2x -11
Collect like
terms
2x -x = 7 + 11
x = 18
Volume of sphere is
V=4/3pi r^3
Where r is 2 in this example so,
V= 10.67 pi
V= 33.51
Answer:
x^2+8x+16
(x+4)^2
Step-by-step explanation:
x^2 +8x
Take the coefficient of the x term
8
Divide by 2
8/2 =4
Square it
4^2 =16
x^2+8x+16
We can factor it into
(x+8/2) ^2
(x+4)^2
