A complex number takes the form
z
=
a
+
b
i
.
In this example,
a
=
0
and
b
=
3
because
z
=
0
+
3
i
.
Answer:
X = 2 / Z = 78
Explanation:
We are given 102 degrees, and the formula across from it, the one with the x, equals the same degrees. Knowing that we have to get them to equal each other, subtract 102-86, and you'll get 16. Next, divide 16 by the given number, 8, and you'll get x = 2
Knowing a straight line equals 180 degrees, subtract 180-102, and you'll get z, which is 78
2x+36 and 7x are supplementary. That means they add up to be 180. 2x+36+7x=180 and 9x=144 so x = 16
Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.
