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: 
Answer:
4
Step-by-step explanation:
When using the slope equation (y2-y1/x2-x1) you get 12/3 which when divided out equals 4.
It is 15 degrees. A right angle is 90 degrees, so to find one sixth of that, you divide 90 by 6 (which is the same thing as multiplying 90 by one sixth). You get 15.
Answer:
We can make maximum 16 bracelets .
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AA = $1
AAA= $0.75
AA + AAA = 42
$1AA + $0.75AAA= $37
AA + AAA = 42
AA + AAA-AAA= 42- AAA
AA = 42- AAA
$1(42- AAA) + $0.75AAA= $37
$42 - AAA +0.75AAA = $37
$42 -0.25AAA= $37
$42-$42 -0.25AAA= $37 -$42
-0.25AAA= -5
-0.25AAA/-0.25 = -5/-0.25
AAA= 20
AA + AAA= 42
AA + 20 = 42
AA +20 -20 = 42-20
AA= 22
Check
$1AA + $0.75AAA= $37
$1(22)+ $0.75(20)= $37
$22 + $15 =$37
$37 = $37
