Simplify : 30 – 5(15 - 10).
Apply BODMAS :
B- Brackets
O-Of
D-Division
M-Multiplication
A-Adition
S-Subtraction
Answer : D) 5
Cot x= cosx/sinx =√3
tan x= 1/ √3
cos x = √2 /2
x= 45
tan45= 1
tan x= -4/3
csc x= 13/5
1/sin x = 13/5
sin x= 5/13
x=22.62
tan x= 5/12
Answer:
No solutions
Explanation:
The given system of equations is
2y = x + 9
3x - 6y = -15
To solve the system, we first need to solve the first equation for x, so
2y = x + 9
2y - 9 = x + 9 - 9
2y - 9 = x
Then, replace x = 2y - 9 on the second equation
3x - 6y = -15
3(2y - 9) - 6y = -15
3(2y) + 3(-9) - 6y = -15
6y - 27 - 6y = -15
-27 = -15
Since -27 is not equal to -15, we get that this system of equation doesn't have solutions.
Answer:
x = 12
Step-by-step explanation:
Recall: the secant-tangent rule states that when a secant and a tangent meet at an external point of a circle, the product of the secant and the external segment is equal to the square of the tangent segment
(x)(3) = 6² (secant-tangent rule)
3x = 36
Divide both sides by 3
3x/3 = 36/3
x = 12
Focus of the parabola is (-5,5) and directrix is y = -1.
Let's assume a point (x,y) on parabola.
According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.
Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.
