Answer:
The correct answer is the last option.
Step-by-step explanation:
When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.
For the expression:

The denominator conjugate is 4 + 2i
When multiplied, the denominator is:

Answer:
(0,-4)
(3,0)
Step-by-step explanation:
Let start at the orgin.
This is a linear equation since the equation is in the form of

where m is the slope and b is the y intercept.
Since we starting at the orgin, and b is our y intercept.
Our first point is
(0,-4).
since the slope is 4/3.
We would rise 4 from the y value and run 3 to the x value.
In other words, to find your second point, go up 4 units from the first point and move to the right 3 units.
So our next point is at
(3,0).
U can continously go up 4 units and move 3 units to the right to find other points.
An=7n-1 that's the recursive formula
<span>
<span>We can
use the Pythagorean Theorem (A² + B² = C²) to solve for the lengths of the
sides. We know that the diagonal, C, is 30 meters long, so C² = 900 meters.
We know that since the park is square, A² + B² = 2A² = 2B²
900 = 2A²
A^2 = 450
Taking the square root of 450, we find that the lengths of A and B are
roughly 21.2 meters.</span>
</span>
Answer:
3.25
Step-by-step explanation:
The slope formula is slope = y2 - y1 / x2 - x1 and the variables are found by assigning them with their corresponding values. Here, x1 = -9, x2 = -13, y1 = 18, and y2 = 5. Next, substitute these values in and get 5 - 18 / -13 - (-9). This can fully simplify to 13 / 4 or 3.25.