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
<u>Answer:</u>
The correct answer option is C. 1.
<u>Step-by-step explanation:</u>
We are to divide
by
.
Rewriting them as a fraction in whole:

Changing the division into multiplication by taking the reciprocal of the fraction in the denominator to get:
× 
Cancelling out the like terms to get:
1
Answer:
A
Step-by-step explanation:
100-25*4=5 squared*2 sqaured
so A
Answer:
1200000
Step-by-step explanation:
Answer:
x=136°
Step-by-step explanation:
x=180°-(180-(46+90))
x=180-44
x=136