Answer:Mark brainliest please
Answer is - 0.5
Step-by-step explanation:
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
Answer:
see explanation
Step-by-step explanation:
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportionality
To find k use the condition when y = 30, x = 6
k =
=
= 5
y = 5x ← equation of proportionality
When x = 12, then
y = 5 × 12 = 60