Hello :
<span>f(x) = 9x − 2 and g(x) = −x + 3.
</span><span> f(g(x)) = f (-x+3) = 9(-x+3)-2
</span> f(g(x)) = = -9x +25
First we compute the distance between the center and the given point which is exactly the radius
r =
Now that we know the center and the radius, we can write the equation of a circle with given radius and center:
where (h,k) represent the coordinates of the center (3,7).
We substitute and obtain
Answer:
jnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Step-by-stejnninp explanation:jjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
So the maximum height is another word for vertex's y-coordinate. The easiest method to find the vertex is to find the axis of symmetry for the x-coordinate and then plug the axis of symmetry into the equation to solve for y.
Firstly, the equation for the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. Using our equation, we can solve for the axis of symmetry as such:
Now that we have the x-coordinate, plug it into x and solve for y:
In short, the maximum height is 90.75.
Answer:
u = fv/(v - f)
Step-by-step explanation:
1/f = 1/u + 1/v
1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv
1/u = (v-f)/fv
u = fv/(v - f)