Y=mx+b
m=slope
b=y-intercept
Given
Slope=-4/3
y-intercept=-2
Plug them into the slope intercept formula
Final answer: y=-4/3-2
Answer:
6 cm
Step-by-step explanation:
The volume of a cone = (1/3) πr²h
72π = (1/3) π r² 6
72 = (1/3) r² 6
Divide both sides by 6
12 = (1/3) r²
Multiply both sides by 3
36 = r²
So r (radius) = 6 cm
0.75x-18.5=0.65x
0.75x-0.65x=18.5
0.1x=18.5
x=18.5/0.1=185
Answer: x=185
To checkt:
0.75(185)-18.5=138.75-18.5=120.25
0.65(185)=120.25
Where p is the distance the focus is above the vertex, the equation of a parabola with vertex (h, k) can be written as
... y = 1/(4p)·(x -h)² +k
The vertex is halfway between the focus and directrix. The focus of your parabola is on the y-axis at y=6, and the directrix of your parabola is at y=-6, so the vertex of your parabola is on the y-axis at y=0. That is, the vertex is
... (h, k) = (0, 0).
The distance p from the focus at y=6 to the vertex at y=0 is 6 units, so
... p = 6.
Filling these values into the equation gives
... y = 1/(4·6)·(x -0)² +0
... y = (1/24)x²
