V(cylinder)=πR²H
Radius of the cylinder R=x, height of the cylinder H=y.
We can write for the cylinder
V(cylinder)=πx²y
V(cone) =(1/3)πr²h
Radius of the cone r=2x.
We can write for the cone
V(cone)= (1/3)π(2x)²h=(1/3)π *4*x²h
V(cylinder) =V(cone)
πx²y=(1/3)π *4*x²h
y=(4/3)*h
h=(3/4)*y
Hello, we know there are 12 inches in one foot, so in 12 feet, there are 144 inches.
Step-by-step explanation:
so, we find the slope-intercept form :
y = ax + b
"a" is the slope (it is always the factor of x), "b" is the y-intercept (the y-value when x = 0).
we have the slope : -6
and the given point (0, -10) gives us already the y-value when x = 0 : -10
therefore, the equation is
y = -6x - 10
Divide both sides by 2
p + 1 = 16/2
Simplify 16/2 to 8
p + 1 = 8
Subtract 1 from both sides
p = 8 - 1
Simplify 8 - 1 to 7
<u>p = 7</u>
Answer:
AB and CD are parallel lines
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are negative reciprocals
Calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)
m = 
= 
= 2
let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)
m = 
= 
= 2
Since slope of AB and CD are equal then lines are parallel
