What is the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i?
1 answer:
The change in x, as we move from left to right, is 7-4, or +3.
The corresponding change in y is -2i-2i = -4i.
Use the Pythagorean Theorem to find the length of this line segment:
d = distance from 4+2i to 7-2i= sqrt( [3]^2 + sqrt( [-4]^2 ) = sqrt(9+16) = 25 (ans.)
You might be interested in
Answer:$7.75 Take the 5 tickets at $5 to get $25. Add the $15 for concessions to reach $40. Subtract $40 from the 71 spent to get $31. Now divide the 31 by 4 for the amount of adults which equals $7.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertex-form equation for vertical parabola:
y = a(x-h)² + k
with
vertex (h,k)
axis of symmetry: x = h
Apply your equation
y = 3x² + 18
vertex (0,18)
axis of symmetry: x = 0
Y= 7x +49
The answer is 0.6 feet
(g o f)(5) = g(f(5))
f(5) = 3(5) - 9 = 15 - 9 = 6
g(f(5)) = g(6) = (6)² = 36
Answer: 36
