N+(n+1) = 85. 2n+1=85, 2n=84. n=42. So the consecutive integers are 42 and 43, and the larger one is 43.
Answer:
x =pi/2,3pi/2
Step-by-step explanation:
sin²(x) - cos²(x) - sin²(x) = 0
Simplify
sin²(x) - sin²(x) = 0
Leaving us with
- cos²(x) = 0
Divide each side by -1
- cos²(x/-1 = 0/-1
cos²(x) = 0
Take the square root of each side
sqrt( cos²(x)) = sqrt(0)
cos(x) = 0
Taking the inverse cos of each side
cos^-1(cos(x)) = cos^-1(0)
x = pi/2 x = 3pi/2
Answer:
30
Step-by-step explanation:
55 rounded to the nearest ten is 60
60/2=30
Answer:
Step-by-step explanation:
what is the radius
Vertex of parabola is y= 
at (4,6)
Step-by-step explanation:
The given equation of parabola is y=
Simplifying the equation,
y=
y= 
y= 
y= ![(-1)[(x^{2} -8x + 16)-(16-22)]](https://tex.z-dn.net/?f=%28-1%29%5B%28x%5E%7B2%7D%20-8x%20%2B%2016%29-%2816-22%29%5D)
y= ![(-1)[(x-4)^{2}+(+6)]](https://tex.z-dn.net/?f=%28-1%29%5B%28x-4%29%5E%7B2%7D%2B%28%2B6%29%5D)
y= 
y= 
The general equation of parabola is y = y= 
Where, (h,k) is vertex of parabola.
On comparing the equations
we get,
Vertex of parabola is y= at (4,-6)
