NOT a function ......................... :)
Okay I think there has been a transcription issue here because it appears to me there are two answers. However I can spot where some brackets might be missing, bear with me on that.
A direct variation, a phrase I haven't heard before, sounds a lot like a direct proportion, something I am familiar with. A direct proportion satisfies two criteria:
The gradient of the function is constant s the independent variable (x) varies
The graph passes through the origin. That is to say when x = 0, y = 0.
Looking at these graphs, two can immediately be ruled out. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations.
This leaves B and C. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear.
This leaves C as the odd one out.
I hope this helps you :)
12x + 4 ➗ 4 + 20x + 5 ➗ 5
1. PEMDAS (order of operations) solve the division problems
(4 divided by 4 & 5 divided by 5)
12x + 1 + 20x + 1
2. Swap around the order of operations as commutative property states that you can swap the order of an addition problem and get the same answer.
12x + 20x + 1 + 1
3. Add like terms
32x + 2
This is the most simplified answer you could get as you can not add 32x and 2 as they are not like terms.
Answer:
4.609 meters
Step-by-step explanation:
The hypotenuse is the ladder because it is the slanted side. 3m is one of the other side lengths
A^2 + B^2 = C^2
3^2 + B^2 = 5.5^2
9 + B^2 = 30.25
30.25 - 9= B^2
21.25= B^2
4.609=B