3/4 = 18/24
5/6 = 20/24
18/24 < 20/24
3/4 is not equal to 5/6
Answer:
x = y - 5
Step-by-step explanation:
Given
y = x + 5 ( isolate x by subtracting 5 from both sides )
y - 5 = x
Answer:
The answer is a Line. (2nd option)
Step-by-step explanation:
Answer:
$55
Step-by-step explanation:
1) since we are taking 50% of the price of lets find 50% of 110
so 0.50*110=55
50% of 110 is 55 hence we can subtract 55 from 110(since its getting marked down)
110-55=55
$55 is the new price
Hope this helps!
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
