Try this solution:
1. if to transform the given equation into the standard form:
x²+y²-4x+6y-3=0;
(x²-4x+4)+(y²+6y+9)-16=0;
(x-2)²+(y+3)²=4²
2. Using the standard form it is possible to find the coordinates of the centre of given circle: x=2; y= -3
answer: b) - (2;-3)
To find percent tax, add the cost of the meal, which would be 11.20. A 5% tax would be 11.20*0.05=$0.56. This would be added on to the bill. So 11.20+0.56. This means the total cost of the meal is $11.76
X = 5
Condense the left side.
log x(3x-13)=1
Put a base 10 on each side to clear the log.
x(3x-13)=10
3x^2-13x-10=0
Factoring you get x=5 and x=-2/3. The domain for log is x>0 so the -2/3 is an extraneous solution.
6=9x+27 distributive property
<u>Answer-</u>

<u>Solution-</u>
Given,
the parabola has vertex at (3,5) and focus at (3,9)
It can be easily noticed that focus and vertex lie on the same vertical line,
Hence, the axis of symmetry is a vertical line ( a line perpendicular to x-axis). Also, the focus lies to the top of the vertex so the parabola will open up upwards.
General form of parabola vertex at (h, k)and vertical line of symmetry is,

Putting the values,

We can find the value of 'a' which is distance between vertex and focus by using distance formula,

Taking only +ve value, as the parabola opens upwards.
then the equation becomes,
