Answer:
25
Step-by-step explanation:
The distance is the magnitude of the difference:
|(2 -3i) -(9 +21i)| = |-7 +24i| = √((-7)² +24²) = √625 = 25
The distance between the two points in the complex plane is 25 units.
Additive inverses are numbers that when added to another number equal 0. The additive inverse of 5 is -5 and the additive inverse of 6 is -6. Therefore, the new expression is -5-(-6) or -5+6.
Answer:
y = cot(x - ⅓π) + 2
Step-by-step explanation:
The general equation for a cotangent function with the given properties is
y = Acot(Bx + C) + D, where
A = the stretching factor
π/|B| = the period
C = the phase shift (negative is to the right)
D = the vertical shift
A = 1
π/|B| = π, so1/|B| = 1 and B = 1
C = -⅓π
D = 2
The function is
y = cot(x - ⅓π) + 2
The figure below shows the graph of the function with the given parameters.
Note that the parent function y = cot(x) has the y-axis as an asymptote, so we can measure the phase shift by the movement of the asymptote π units to the right.
Step-by-step explanation:
since I don't have any data about the coordinates, I am simply calling them xj, yj, and xj' and yj'.
J = (xj, yj)
K = (xk, yk)
L = = (xl, yl)
a translation (shift) 2 units to the left just means, that the y coordinates regain the same, but the x coordinates are decreased ("to the left" = getting smaller) by 2.
J' = (xj - 2, yj)
K' = (xk - 2, yk)
L' = (xl - 2, yl)
8 different styles
4x2=8
If you want to answer future questions like this then you multiply the numbers of the items.
