Step-by-step explanation:
Replace each x in the expression/equation with the given value. Then use order of operations to simplify and solve. There are some great videos out there explaining the concept.
Answer:
a) x = 2
b) x = 4
Step-by-step explanation:
a = (b₁ + b₂)/2 * h
----------------------------
a)
48 = (10 + x)/2 * 8
Divide both sides by 8
6 = (10 + x)/2
multiply both sides by 2
12 = 10 + x
Subtract 10 from both sides
2 = x
x = 2
---------------------------------
b)
18 = (7 + 2)/2 * x
18 = 4.5 * x
divide both sides by 4.5
4 = x
x = 4
Well...it says the sum of the angles measure 360...so lets set them equal to 360
40 + x - 10 + 1/3x + x - 20 = 360...combine like terms
2 1/3x + 10 = 360
7/3x = 360 - 10
7/3x = 350
x = 350/(7/3)
x = 350 * 3/7
x = 1050/7
x = 150 <=====
A relation is (also) a function if every input x is mapped to a unique output y.
In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:
- The first graph is exactly a vertical line, so it's not a function.
- The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
- The third graph is not a function, because you can draw vertical lines that cross the graph twice.
- Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
- The fifth graph is a function, because every vertical line crosses the graph once
- The last graph is a function, although discontinuous, for the same reason.
