X²+y²-8x+12y+27=0
x²+y²-8x+12y=-27
x²-8x +y²+12y = -27
x²-8x+16 + y+12y+36 = -27+16+36=25
(x-4)² + (y+6)² = 25
a circle centered at (4,-6) with a radius of 5
The rate is (32,800 - 18,000) = 14,800 per 5 years
<span>therefore : </span>
<span>in 2015 = 2010 + 5 years </span>
<span>the pop. will be : </span>
<span>32,800 + 14,800 = 47,600
Hope this helped☻</span>
Answer:
y-intercept: 
axis of symmetry: 
vertex: 
Step-by-step explanation:
To find the y-intercept, set x = 0 and solve for y.
I am assuming f(x) = y



The y-intercept of the equation is y = 0.
Now, for the axis of symmetry, you need the equation 
In an equation.. 
In this case, there is only an a, so plug in the values into the equation.


The axis of symmetry is x = 0.
To find the vertex, change the format of the equation from standard form to vertex form.
Vertex form: 
The vertex is 


The vertex in this case is (0,0).
Graphing makes things a lot easier. If you can graph it, all you have to do is look at the graph and the answers are all there!
Hope this helped you!
-x on both sides to get
x=15
Answer:
y = -13.75x + 340
120 owls in 2019
Step-by-step explanation:
To find the population in a future year, use the formula y=mx+b since it changes linearly.
So over 4 years the owl population changed from 285-340=-55. Divide by 4 and this is a yearly change of -13.75. This is m.
The y-intercept is the starting point known as b in the equation. Here it is 340.
So the equation is y=-13.75x+340.
In 2019, t=16 so y=-13.75(16)+340 = 120.