Answer:
The solution of this system of equations is (3 , -8)
Step-by-step explanation:
The given system is
x + 2y = -13
12x + 5y = -4
We make x the subject of the first equation and put it into the second:
We put this expression for x into the second equation
12(-13-2y)+5y=-4
-156-24y+5y=-4
-24y+5y=-4+156
-19y=152
y=-8
We substitute y=-8 into x=-13-2y to get:
The solution of this system of equations is (3 , -8)
Answer:
Volume of the machine part = 114π inches³
Step-by-step explanation:
Volume of the machine part = Volume of cylinder + Volume of hemisphere
Volume of cylinder =
Where r = radius of the cylinder
h = height of the cylinder
Volume of the cylinder =
= 108π inches³
Volume of the hemisphere =
=
= 6π inches³
Total area of the machine part = 108π + 6π
= 114π inches³