Answer:
y= total cost
x= per person
y=10x+a
well we know this equation so
32.25=10(3)+a
a=2.25
Step-by-step explanation:
Answer:
x = 1
y = 1
Step-by-step explanation:
3x + 2y = 5
3x - 2y = 1 (subtract these equations)
––––––––––––
4y = 4
divide by two
y = 1
input y = 1 the other equations
3x + 2 = 5
simplify
3x = 3
x = 1
Answer:
The product of
36√cis(π/8) and 25√cis(7π/6)
is
(225√2)√[√(2 + √2) + i√(2 - √2)][√(3(-1 + i))]
Step-by-step explanation:
First note that
cis(π/8) = cos(π/8) + isin(π/8)
cis(7π/6) = cos(7π/6) + isin(7π/6)
cos(π/8) = (1/2)√(2 + √2)
sin(π/8) = (1/2)√(2 - √2)
36√cis(π/8) = (36/√2)√[√(2 + √2) + i√(2 - √2)]
cos(7π/6) = -(1/2)√3
sin(7π/6) = (1/2)√3
25√cis(7π/6) = (25/2)√3(-1 + i)
The product,
36√cis(π/8) × 25√cis(7π/6)
= (36/√2)√[√(2 + √2) + i√(2 - √2)] × (25/2)√3(-1 + i)
= (225√2)√[√(2 + √2) + i√(2 - √2)][√(3(-1 + i))]