C.) is the correct answer! I’m 100% sure!
Answer:
Adult is $12 and child is $7
Step-by-step explanation:
Adult=x and Children=y
first day: 4x+1y=55
second: 3x+2y=50
Get one letter the same but opposite
(4x+1y=55) times that by -2
-8x+-2y=110
3x+2y=50
minus all of that u get
-5x=60
divide 60 by 5
x=12
fill in X
3(12)+2y=50
36+2y=50
-36 -36
2y=14
/2 /2
y=7
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
Answer:
x = 5
Step-by-step explanation:
To solve, first subtract 5 from each side:
5 + 7x = 40
7x = 35
Then divide each side by 7:
x = 5
