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
Answer:
A (i) impossible, because the card D doesn't exist.
(ii) evens, because the number of vowel cards and consonant cards is equal
B (i) 62 - 24 - 13 - 16 = 9
(ii) 24/62*100% = 38.7%
(iii) (13+16) / 62 * 100% = 46.77%
Answer:
There would be $2,120
Step-by-step explanation:
First figure out what 3% of 2000 is which is 60. Multiply the 60 by 2 to get 120 then add 120 to 2000
4 since 4 is attached to the variable, x.
Answer:
You have a daily pay or a y-intercept of 20
Then you have a variable change such that 0.50 is earned for each additional pizza
Hence the representation is y=0.50x+20
X represents pizzas sold and y represents total pay
