Simultaneous Equations
3x + y = 4
5x - y = 22
The signs of the matching values aren't the same so we add the rest of the equations.
8x = 26
Divide both sides by 8 to get x = 3.25
Now substitute back into the first equation.
(3 x 3.25) + y = 4
9.75 + y = 4
Subtract 9.75 from both sides
y = -5.75
Answer:

Step-by-step explanation:
Given

per hour
Required:
Determine the linear function
Let y represent the function and x represent the number of hours
The function can be represented with:

We used minus (-) in the equation because the question indicates that the height of the sculpture reduces.
So, we have:


11 1/2=11.5
1 3/4=1.75
11.5/1.75=about 6.57
Shelia needs 7 containers because you cannot cut off a part of container and use it.
He should use the Pythagorean Theorem to find the missing length.
Since KT is tangent to the circle and TL reaches the center of circle L, the measure of angle LTK is 90 degrees. This means that triangle LTK is a right triangle which means the Pythagorean Theorem can be used.
So,
TL²+(12)²=(13)²
=> TL²+144=169
=> TL²=25
=> TL = 5
Therefore, the radius of circle L is 5 feet.