X is the radius of the slice. So we must find the equation of the side of the cone.
y=mx+b, so now we must use two points to solve for the slope, or "m".
m=(y2-y1)/(x2-x1)
m=(0-15)/(5-0)
m=-15/5
m=-3 so our line so far is:
y=-3x+b, b=y-intercept=value of y when x=0, which we can see is 15 ft so:
y=-3x+15
Now the radius is x, so we must solve for x from the equation above...
-3x+15=y subtract 15 from both sides
-3x=y-15 divide both sides by -3
x=(15-y)/3
And area of this circle is:
A=πx^2, and using x found above:
A=(π/9)(15-y)^2
A=(π/9)(225-30y+y^2), so when y=6 ft
A=(π/9)(225-30*6+6^2)
A=(π/9)(81)
A=9π or if we let π=pi
A=9pi ft^2
Answer:
direct
Step-by-step explanation:
The standard form of an equation representing direct variation is
y = kx ← k is the constant of variation
The standard form of an equation representing inverse variation is
y = 
← k is the constant of variation
y = - 
x ← represents direct variation with k = -
Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−12x+26=x
Step 2: Subtract x from both sides.
−12x+26 − x = x − x
−13x+26=0
Step 3: Subtract 26 from both sides.
−13x+26−26=0−26
−13x=−26
Step 4: Divide both sides by -13.
−13x/−13 = −26/−13
x=2
Answer:
y=3/5x+3
y=1/2x+11.5
neither
Step-by-step explanation:
Answer:
2 2/3 cubic feet
Step-by-step explanation:
Martha will put 1/3 of the 8 cubic feet in each pot. That is ...
(1/3)(8 ft³) = 8/3 ft³ = 2 2/3 ft³
Martha will put 2 2/3 cubic feet of soil in each pot.
