Answer:
150 degrees
Step-by-step explanation:
Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.
So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 
. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.
Let's find the complementary angle.
So the opposite side of the complementary angle is 5.
The adjacent side of the complementary angle is .
So 90-30=60.
The answer therefore 60+90=150.
A linear function is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. For example, a common equation,
y
=
m
x
+
b
, (namely the slope-intercept form, which we will learn more about later) is a linear function because it meets both criteria with
x
and
y
as variables and
m
and
b
as constants. It is linear: the exponent of the
x
term is a one (first power), and it follows the definition of a function: for each input (
x
) there is exactly one output (
y
). Also, its graph is a straight line.
Answer: You could move Circle 2 10 units to the right and up 5 up.
Doing this would put the centers of the circles at the same location. They would both be at the point (8, 5).
For the dilation, the radius changed from 2 to 6. Solve the following equation.
2x = 6
x = 3
The answer for that is definitely true. You're welcome ;).
Answer:
4x^3 - 15x^2 - 10x + 24
Step-by-step explanation:
FOIL (x-4)(4x^2+x-6)
= x(4x^2+x-6) -4(4x^2+x-6)
= 4x^3+x^2-6x-16x^2-4x+24
=4x^3-15x^2-10x+24
