6x – 4y = 9
4y = 6x - 9
y = 6/4 x - 9/4
y = 3/2 x - 9/4 this line has slope = 3/2
perpendicular line, slope is opposite and reciprocal so slope of this line = -2/3
answer:
A. y= - 2/3 x - 4 (only this line has slope = -2/3)
Answer:
16π
Step-by-step explanation:
Given:

<u>Formula:</u>

Replace the radius in the formula:

Evaluate the area:


Since the question says to determine the area in terms of π, the final answer is 16π.
When we partition a number line from 0 to 1 into six, each segment has a length of 1/6 and the segments are:
1/6. 2/6. 3/6, 4/6, 5/6 , 6/6
Breaking 2/6 into 4 equal parts, we get each part equal to 1/12
Volume of Solids
The volume of the solid is 758.83 in³
Step-by-step explanation:
Given that the cone and half sphere is hollow
The volume of the cone =
The Volume of the sphere = 
So the Volume of the half sphere =
The volume of solid = volume of cone + volume of the half sphere

Given
height h = 19 in
radius r = 5 in
= 
= 1/3 × 3.14 × 5 × 5 × 19
= 497.16 in³

= 2/3 × 3.14 × 5 × 5 × 5
= 261.67 in³
V = 497.16 in³ + 261.67 in³
= 758.83 in³
Hence the volume of the solid is 758.83 in³