9514 1404 393
Answer:
C. (45+11i)/29
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.

Answer:
Slope: -1/5 y-intercept: 12
Step-by-step explanation:
y = -1/5x + 12
The equation given is the slope-intercept form, y= mx + b
In this equation, the m, or number in front of the x, is the slope of the line.
The b in the equation represents the y-intercept.
Therefore, according to the given equation, the slope is -1/5 and the y-intercept is 12.
Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
10 ft and 2 because I did the math