Answer:
B. Graph 2 represents a proportional relationship, but graph 1 does not.
Step-by-step explanation:
All proportional relationships pass through the origin. Graph 2 does but Graph 1 does not. Additionaly, Graph 2 is a straight line that represents a proportional relationship. Another way to find out if it is proportional is to find the constant of proportionality by dividing the y by the x in different parts of the line. The numbers should all have the same constant of proportionality.
Examples (all found in Graph 2):
15/3 = 5
10/2 = 5
5/1 = 5
Answer:
D(6, 3)
Step-by-step explanation:
The diagonals of a rectangle bisect each other, so the midpoint of AC is the same as the midpoint of BD. This means ...
(A +C)/2 = (B +D)/2 . . . . the midpoints are the same
A +C = B +D . . . . . . . . . multiply by 2
D = A +C -B = (2+5-2, 1+5-3) . . . . . solve for D, substitute given coordinates
D = (6, 3)
Answer:
Step-by-step explanation:
<h3>Given</h3>
- h(x) = (f ο g)(x)
- h(x) =
- f(x) =
<h3>To find</h3>
<h3>Solution</h3>
<u>We know that:</u>
<u>Substitute x with g(x) and solve for g(x):</u>
- =
- x + 5 = g(x) + 2
- x + 3 = g(x)
- g(x) = x + 3
The rate of change is 2om per hour
Area = 36 = length*width
Then, while the area is constant the product length*width is constant.
Length and area are inversely related.
That means that to keep the same product (area), length vary in inverse proportion to width.
If you increase length, widht has to decrease to satisfy this relation:
width = 36/length
Of course, you can also say: length = 36 / width.
