Answer:
64
Step-by-step explanation:
So here you're just completing the square. the equation you gave is simply: 
where c is the unknown value we're solving for. Whenever you complete the square, you add (b/2)^2
The reason for this, is because whenever you write a binomial as a perfect square it's in the form: 
and this binomial expands out to become: 
If we write the second term of the binomial as b/2 we get:
which simplifies to:
and as you can see the last term is (b/2)^2, which is why we need to add that part for it to be a perfect square.
So we would need to add (16/2)^2 = 8^2 = 64
This way, we can express it as a perfect square binomial: 
which expands out to: 
The answer is c because the variable behind the number s are equal
Answer:
840 cubes
Step-by-step explanation:
First we need to find the volume of each one:
Rectangular prism: Volume = 10.5 * 5 * 2 = 105 in3
Cube: Volume = 0.5 * 0.5 * 0.5 = 0.125 in3
Now, to find how many cubes can fit inside the prism, we just need to divide the volume of the prism by the volume of the cube:
Number of cubes = 105 / 0.125 = 840 cubes
8 x 9 = 72
So 72 is your answer
So we have:
xk = v + w solve for x
divide both sides by k to isolate the variable x:
x = (v+w)/k
^^This is your answer!
Hope I helped!
