Answer:
Volume of the solid figure = 1131 cubic inches
Step-by-step explanation:
Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism
Volume of half cylindrical prism = 
= 
= 339.29 cubic inch.
Volume of the rectangular prism = (length × width × height)
= 11 × 6 × 12
= 792 cubic inches
Volume of the solid figure = 339.29 + 792
= 1131.29
≈ 1131 cubic inches
Subtract 3y and move it to the right
X= 1 - 3Y
This is the answer for your problem
Answer:
x -2y -2=0
Step-by-step explanation:
using the formula, m= ( Y2 - Y1)/( X2-X1)
the gradient is found. the coordinates chosen are (2,0) and ( 0,-1)
the equation of the line is obtained using the formula
y -y1= m(x -x1)
Answer:
(see image)
bottom right image
Explanation:
First try the origin (0,0) to rule out two of the graphs.
3y ≥ x - 9 3(0) ≥ (0) - 9
3 ≥ - 9
yes 3x + y > - 3 3(0) + (0) > - 3
3 > - 3
yes so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs.
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa.
Try point (4, 2)
3y ≥ x - 9
3(2) ≥ (4) - 9
6 ≥ - 5
yes3x + y > - 3
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3
yesSo the graph is the bottom right one since (4, 2) is included in that shaded region.
