Answer: 4 n
Step-by-step explanation:
Answer:
y=-3
Step-by-step explanation:
5(y+2/5)=-13
5y+10/5=-13
5y+2=-13
5y=-15
y=-3
Check:
5(-3+2/5)=-13
-15+2=-13
-13=-13
The perimeter of a polygon is the sum of the lengths of all its sides. A rectangle has 4 sides, and opposite sides are congruent, so 2 sides have length x + 5, and 2 sides have length 11. Add all the lengths and set the sum equal to 50. Then solve the equation for x.
x + 5 + x + 5 + 11 + 11 = 50
2x + 32 = 50
2x = 18
x = 9
Answer: x = 9
Condense z₁ and z₂ into their exponential forms:
z₁ = 3 (cos(π/4) + i sin(π/4)) = 3 exp(i π/4)
z₂ = 7 (cos(3π/8) + i sin(3π/8)) = 7 exp(i 3π/8)
Then the quotient of z₁ and z₂ is
z₁ / z₂ = 3/7 exp(i (π/4 - 3π/8)) = 3/7 exp(-i π/8)
and in trigonometric form,
z₁ / z₂ = 3/7 (cos(-π/8) + i sin(-π/8))) … … … D