Basically each part of the first complex number gets multiplied by each part of the second complex number. You are multiplying 2 binomials.
(15 + 56i(7 + 4i)
= 105 + 60i + 392i + 224i^2
= 105 + 452i - 224 ( because i^2 = -1)
= - 119 + 452i
Answer:
x = ±√37/9
Step-by-step explanation:
x² = 37/81
√(x²) = √(37/81)
x = ± √(37)/√(81)
x = ± √37/9
Answer:
(A) 5.47 km
(B) 1.38 km
Step-by-step explanation:
The relationship between Pressure (mmHg) and Height (km) is given by the equation below:
p =760 e⁻ 0.145h----------------------------------------------------- (1)
(a) The height of the aircraft can be calculated by making 'h' the subject of equation (1)
In (p/760) = -0.145 h
h = -In (p/760) /0.145
h= In (760/p)/ 0.145------------------------------------------------- (2)
For the aircraft, p =344 mmHg; substituting into (2)
h = In (760/344)/0.145
= 0.7926/0.145
= 5.4662 km
≈ 5.47 km
(b) p= 622 mmHg at the mountain top. Substituting into equation (2) we have:
h = In (760/622)/0.145
= 0.2003 / 0.145
= 1.3813 km
≈ 1.38 km
A line perpendicular to y = 2x - 1 must have the slope -1/2 (negative reciprocal of 2).
Thus, the eq'n of the new line is y+2 = (-1/2)(x+2).
