Answer:
$6.34
Step-by-step explanation:
15.86 / 2.5 = 6.34
$6.34
Answer:
1/3
Step-by-step explanation:
differentiate first equation to get t , then replace t with 1/3
Answer:
I think in a function of f(x) P is also another variable like P is the price then Q is the quantity.
Step-by-step explanation:
None. If you think about it, 246 is greater than 6, so how can fit 246 into 6? Think about it this way . . how many times can you fit an elephant into a garden hose? . . yeah . . you probably can't . . try reposting your question . . and try making more sense of it next time. :)
Answer:
(x²-10x+33)/(-8) = y
Step-by-step explanation:
The distance between any point on a parabola from both its focus and directrix are the same.
Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,
is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.
Equating the two equations given, we have
square both sides to get
(x-5)²+(y+3)²=(y-1)²
expand the y components
(x-5)² + y²+6y+9 = y²-2y+1
subtract y²+6y+9 from both sides
(x-5)² = -8y - 8
expand the x components
x²-10x+25 = -8y - 8
add 8 to both sides to isolate the -8y
x²-10x+33 = -8y
divide both sides by -8 to isolate y
(x²-10x+33)/(-8) = y
