Select all statements that are true about the linear equation. y=12x−4y=12x-4 the graph of the equation is the set of all points that are solutions to the equation. the point (−6,7)(−6,7) is on the graph of the equation. the graph of the equation is a single point representing one solution to the equation. the point (−4,−6)(−4,−6) is on the graph of the equation.

Step-by-step explanation:

The given equation is

The true statement is the first one, because the graph of an equation always represent all points that are solutions. That is, all solutions for this equation are all the points placed on the line. The graph of the given linear equation is attached.

You can see in the graph that the points (-6,7) and (-4,-6) are not solutions for this equation, because they aren't on the line.

Also, you can see that the equation represents an infinite line, that is, the equation doesn't have a single solution.

Therefore, the true statement is the first one.

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.