Answer:
The volume of the solid will be = 134.1 cubic units.
Step-by-step explanation:
The base of a solid has the equation of a circle x² + y² = 16 in the xy-plane. Cross-sections perpendicular to the y-axis of the solid are semicircles.
Therefore, the solid will be the shape of a hemisphere.
Now, the radius of the hemisphere will be 4 units.
{Since the base of the hemisphere is on the xy-plane and have equation
x² + y² = 4²}
Therefore, the volume of the solid will be = cubic units. (Answer)
Isolate the x. Do the opposite of PEMDAS.
−4 ≤ 11 −3x
First, subtract 11 from both sides
-4 (-11) ≤ 11 (-11) - 3x
-4 (-11) ≤ - 3x
-15 ≤ - 3x
Isolate the x. Divide -3 from both sides. Remember to flip the sign.
(-15)/-3 ≤ (-3x)/-3
-15/-3 ≤ x
5 ≥ x
x≤5 is your answer
hope this helps
Answer:
(10, -29)
Step-by-step explanation:
I assume you are looking for the solution to this system of equations.
Plug them both into a graphing calculator. The point where they cross is:
(10, -29)
Answer:
x = 3/2
Step-by-step explanation:
7/3 = (x + 2)/x
7x = 3(x + 2)
7x = 3x + 6
4x = 6
x = 6/4 = 3/2
There, someone helped you. Now could you do it alone next time?
Answer:
x - 5y = 22
Step-by-step explanation:
Step 1: rewrite the equation of the given line in to slope-intercept form by solving for y
x = 5y - 9
-5y = -x - 9 (subtract 5y and x from both sides)
y = x/5 + 9/5 (divide both side by -5)
Step 2: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = x/5 + b
We are given a point (x, y) of (2, -4), so plug that in and solve for b.
-4 = 2/5 + b
-4 - 2/5 = b (subtract 2/5 from both sides to isolate b)
-20/5 - 2/5 = b
-22/5 = b (simplify)
So the equation of our line is y = x/5 - 22/5
Step 3: Standard form is ax + by = c, where a is a positive integer
subtract x/5 from both sides...
-x/5 + y = - 22/5
multiply by -5 so x becomes a positive integer
x - 5y = 22