Simplified expression is 11y² + 6x - 13
Step-by-step explanation:
- Step 1: Simplify 5y² + 3y - 13 + 6x - 3y + 6y²
5y² + 3y - 13 + 6x - 3y + 6y² = 11y² + 6x - 13
Equation of the circle:

Step-by-step explanation:
The equation of a circle is given by

where
are the coordinates of the center of the circle
r is the radius of the circle
For the circle in this problem, we know that:
(5,4) are the coordinates of the center
We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

Therefore, the equation of the circle is:

Learn more about circles:
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Answer:
x^2 -2x + 1
Step-by-step explanation:
Think of a quadratic equation as
ax^2 + bx + c
x^2 -2x +
Comparing the two equations
a = 1 , b = -2, c = ?
c becomes the missing part
Divide b by 2
-2/2 = -1
square the result
-1^2
= 1 this is what to add to get a perfect square
x^2 -2x + 1
(x - 1)^2
Answer:
Step-by-step explanation:
x³ = 4³ = 4 * 4 * 4 = 64