Answer:
Hi there!
Step-by-step explanation:
Its 1.3
Step-by-step explanation:
We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :

Given, the equation of circle

By comparing, we will get,
h = -2
k = 3
So, center of the circle is ( -2,3)

So since the vertex falls onto the axis of symmetry, we can just solve for that to get the x-coordinate of both equations. The equation for the axis of symmetry is
, with b = x coefficient and a = x^2 coefficient. Our equations can be solved as such:
y = 2x^2 − 4x + 12: 
y = 4x^2 + 8x + 3: 
In short, the vertex x-coordinate's of y = 2x^2 − 4x + 12 is 1 while the vertex's x-coordinate of y = 4x^2 + 8x + 3 is -1.
The population increases by a factor 1.0167 every year so the require figure is:
103 * 1 . 0167^5 = 112 million
Answer:
The equivalent ratios are:
16:10
8:5
48:30
Step-by-step explanation:
It is given that the ratios are equivalent ratios. So all the ratios will simplify to the same ratio. We can use this to find the ratios.
given ratio is:
16:10
which simplifies to
8:5
We can observe that the second ratio will be same 8:5
Now,

Hence,
The equivalent ratios are:
16:10
8:5
48:30