Answer:
1/2 + 5/2 i
Step-by-step explanation:
(-5+i) i
---------* --------
2i i
cannot have i in the denominator so we multiply by i
(-5+i) i -5i + i^2
---------* -------- = ----------------
2i i +2i^2
remember i^2 = -1
-5i + -1 -1 -5i
= ---------------- = ------------------
+2(-1) -2
get rid of the negative in the denominator by multiplying the top and bottom by -1
(-1 -5i) * -1
= ------------------
-2*(-1)
(1 +5i)
= ------------------ = 1/2 + 5/2 i
2
Answer:
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula:
Given points: (-6, 4), (6, 10)
(-6, 4) = (x1, y1)
(6, 10) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
Simplify:
10 - 4 = 6
6 - (-6) = 6 + 6 = 12
The slope is .
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:
10 = 3 + b
7 = b
The y-intercept is 7.
Now that we know the slope and the y-intercept, we can write the equation:
negative multiplied by positives = negative numbers
3 x 5 = -15
negative multiplied by a negative = a positive number
-3 x -2y = +6y
so combine both gets -15 +6y
or a better way to write it is 6y-15
The correct answers are A and B.
Hope this helps!