The answer is 14-13i because you can only combine like terms
Answer:
Let θ = (45 - A)°.
=> 2Tanθ/ 1 + Tan²θ
=> 2Sinθ/Cosθ / 1 + Sin²θ / Cos²θ
=> 2Sinθ/Cosθ/ Cos²θ + Cos²θ / Cos²θ
=> 2Sinθ/Cosθ/ 1 / Cos²θ
=> 2SinθCos²θ/Cosθ
=> 2SinθCosθ
=> Sin2θ
But we assumed θ = (45 - A)°,
=> Sin2(45 - A)
=> Sin(90 - 2A) (∵ Sin(90 - θ) = Cosθ)
=> Cos2A
= R.H.S
Hence proved.
Step-by-step explanation:
Answer:
The ratio of the number of boys to the number of girls in the class 1 to 2 or 1/2.
Step-by-step explanation:
Consider the provided information.
Let g is number of girls, and b is number of boys.
The total number of students is b + g.
It is given that, In a certain English class, 1/4 of the number of girls is equal to 1/6 of the total number of students.
Solve the above equation.
Hence, the ratio of the number of boys to the number of girls in the class 1 to 2 or 1/2.
Answer:
a.b=[-1]
Step-by-step explanation:
This is a dot product of a and b
a.b =[6,-2,3].[2,5, -1] = [12-10-3] =[-1]
Answer:
A. (9, –36)
Step-by-step explanation:
The equations are given as:
i) y = -3x - 9
ii) y= 1/3 x - 39
Use equation i) in equation ii)
-3x - 9 = 1/3 x - 39 -------multiply each term by 3 to remove the fraction
-9 x - 27 = x - 117
collect like terms
-9 x- x = -117 + 27
-10 x = -90
10x = 90
x = 90 / 10
x = 9 ------------iii
Use equation iii in i
y = -3x - 9
y = -3 * 9 - 9
y= -27 - 9
y= -36
Hence,
x = 9 , y = -36
