Answer:
Whats the question?
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
The base/square:
3*3 = 9
The sides:
(3*4)/2 = 6
4 sides:
6*4 = 24
Total:
24+9=33
Answer:
1250
Step-by-step explanation:
8by100is 0.08
0.08*15625is1250
Answer:
(5,6)
Step-by-step explanation:
8X +6Y=4
Y=-3X+9
Substitute the second equation into the first. Every place you see y put -3x+9)
8x +6(-3x+9)=4
Distribute
8x-18x +54 = 4
Combine like terms
-10x +54 = 5
Subtract 54 from each side
-10x +54-54=4-54
-10x = -50
Divide by -10
-10x/-10 = -50/-10
x= 5
Now we need to find y
y = -3x+9
y = -3(5) +9
y = -15+9
y= 6
(5,6)
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
