Answer:
The solution is the point (1,-4)
Step-by-step explanation:
we have
----> equation A
----> equation B
we know that
The solution of the system of equations by graphing is the intersection point both graphs
using a graphing tool
The intersection point is (1,-4)
see the attached figure
therefore
The solution is the point (1,-4)
Answer:
The value of x = 3.
Step-by-step explanation:
The ratio between length and width is given by:
Where:
Now, we know that each dimension is reduced by x inches, it means:
Then, we will have:
Finally, we just need to solve it for x.
<u>Therefore, the value of </u><u>x = 3.</u>
I hope it helps you!
Answer:
Step-by-step explanation:
The volume of a cylinder can be calculated with the following formula:
Where "r" is the radius and "h" is the height.
The volume of a sphere can be found with this formula:
Where "r" is the radius.
Then, volume of the empty cylinder is:
And the volume of the ball is:
Finally, you need to subtract them in order to calculate how much water is in the cylinder: