Find the center and radius of x^2 – 18x + y^2 -10y = -6. part two write x2 – 18x + y2 -10y = -6 in standard form
1 answer:
Answer:
see explanation
Step-by-step explanation:
I will begin with part two, first.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Given
x² - 18x + y² - 10y = - 6
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is
(x - 9)² + (y - 5)² = 100 ← in standard form
with centre = (9, 5 ) and r = = 10
You might be interested in
The lateral area of the shape is the sum of the area of all lateral faces.
The area of the lateral face that is rectangle with sides 5 mi and 2 mi is
As you can see the shape has all four lateral faces of the same rectangular form with the same sides lengths, therefore,
Answer: correct choice is B.
Answer: The required ratio is 1:1.
Step-by-step explanation:
Let the total number of CDs be 100
of CDs is given by
According to question,
of her Jazz CDs represents
of all her CDs.
Let the number of Jazz CDs be x
So, it becomes
So, Number of Jazz's CDs is 50
Number of Jazz non CDs is given by
Ratio of her CDs to her non- CDs is given by
Hence, the required ratio is 1:1.