Consider this option:
1. rule: Circle is the locus of the points which are on the same distance from the given point. Common view of the equation is: (x-a)²+(y-b)²=r², where r - the distance from the given point to the described locus, a&b - coordinates of the given point.
2. using item 1:
(x+2)²+(y-1)²=3² or (x+2)²+(y-1)²=9.
Answer:
Direction parabola opens upward.
Vertex of parabola is (27,-9).
Axis of symmetry is
.
Step-by-step explanation:
Note: Option sets are not correct.
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and x=h is the axis of symmetry.
If a<0, then parabola opens downward and if a>0, then parabola opens upward.
The given function is
...(2)
On comparing (1) and (2), we get
, so direction parabola opens upward.
, so vertex of parabola is (27,-9).
So, axis of symmetry is
.
Answer:
(x+1)(x-6)
Step-by-step explanation:
Answer:
$14,644.63
Step-by-step explanation:
To solve this problem we can use the compound interest formula which is shown below:

<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>n = number of times compounded annually
</em>
<em>t = time
</em>
<em />
First change 12% into a decimal:
12% ->
-> 0.12
Lets plug in the values:


Tammy will own $14,644.63 after 8 years,