The equation of a given circle in general form is x^2+y^2-8x+12y+27=0. Write the equation in standard form, (x-h)^2+(y-k)^2=r^2,
by completing the squares in the equation. Show your work in the table.
1 answer:
Answer:
(x - 4)² + (y + 6)² = 5²
Step-by-step explanation:
rearrange the general equation as follows
collect the terms in x and y together and place the constant on the right side
x² - 8x + y² + 12y = - 27
add (half the coefficient of the x/y term)² to both sides
x² + 2(- 4)x + y² + 2(6)y = - 27
(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36
(x - 4)² + (y + 6)² = 25
(x - 4)² + (y + 6)² = 5² ← in standard form
You might be interested in
The average can be calclculated as follows:
average = sum of number/number of numbers
average = (19+45) / 2 = 64/2 = 32
Answer:
$18.43
Step-by-step explanation:
19.61 decrease 6% =
19.61 × (1 - 6%) = 19.61 × (1 - 0.06) = 18.4334
Answer:
False
Step-by-step explanation:
2x + y = 0
Try (1, -2)
2(1) + (-2) = 0
2 + (-2) = 0
0 = 0
The solution works on the first equation.
-x + 2y = 5
-(1) + 2(-2) = 5
-1 - 4 = 5
-5 = 5
The solution does not work in the second equation.
Answer: False
Yes you do and what grade are you in and do you need help answering these questions
(-7x² + 3) + (4x² + 2x - 1)
-7x² + 3 + 4x² + 2x - 1
(-7x² + 4x²) + (3 - 1) + 2x collect like terms
-3x² + 2x + 2
hope this helps, God bless!
