The third graph represents a function.
In a function, every input (x value) has <em>exactly</em> one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.
A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.
In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.
Answer:
i like ya cut g
Step-by-step explanation:
1.b
2.d
3.a
4.c
5.a
6.d
7.b
8.c
(48a^3 + 32a^2 + 16a) / 4a = ?
48a^3 / 4a = 12a^2
32a^2 / 4a = 8a
16a / 4a = 4
so
(48a^3 + 32a^2 + 16a) / 4a = 12a^2 + 8a + 4
Answer is D. 12a^2 + 8a + 4
We can check this by seeing if Pythagorean's theorem applies. The longest side is the hypotenuse, so let's see if this is true:
This is, indeed correct, thus, this
<em>is </em><em>
a right triangle.</em>
