Suppose a line passes through (a, –11) and (7, 13), and is parallel to the line y = 2x + 8. What is the value of a? Write the equation of the line.

a = 5

y = 2x - 1

Step-by-step explanation:

Find y-intercept:

13 = 2(7) + b

b = -1

Find a:

-11 = 2a - 1

2a = 10

a = 5

y = 2x - 1

Draw a diagram to illustrate the problem as shown below.

Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³

Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³

The volume that can be filled with flavored ice is 
V = V₁ - V₂ = 115.5π in³ = 362.85 in³

Th volume is 115.5π in³ or 362.9 in³ (nearest tenth)