All exercises involve the same concept, so I'll show you how to do the first, then you can apply the exact same logic to all the others.
The first thing you need to know is that, when a certain quantity multiplies a parenthesis, you can distribute that number to every element in the parenthesis. This means that
So, 
is multiplying the parenthesis involving 
and 
, and we distributed it: multiplies both and in the final result.
Secondly, you have to know how to recognize like terms, because they are the only terms you can sum. Two terms can be summed if they have the same literal expression. So, for example, you cannot sum 
, and neither 
exponents count.
But you can su, for example,
or
So, take for example exercise 9:
We distribute the 1.2 through the first parenthesis:
And you can distribute the negative sign through the second parenthesis (it counts as a -1 to distribute):
So, the expression becomes
Now sum like terms:
Answer:
no
Step-by-step explanation:
no because its equal to 2x+10
You have to complete the square. When you do this you get an equation that looks like this: (x-3)^2 + (y+4)^2 = 4. So your center is (3, -4) and your radius is 2. That looks like B to me!!!
9514 1404 393
Answer:
56, 60, 64
Step-by-step explanation:
The middle of the three numbers is their average: 180/3 = 60. The other two will be 4 more or less than this.
The numbers of interest are 56, 60, 64.
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<em>Additional comment</em>
For "consecutive integer" problems, it is often useful to work with the average of the numbers. The average will be the middle number of an odd number of numbers (as here), or will be halfway between the two middle numbers if their number is even.
Even if you bother to write equations, it can work to do that in terms of the average value (middle number): (x -4) +(x) +(x +4) = 180 in this case.
Answer:
h=1 K =2 a =6 b=2
Step-by-step explanation:
look this solution :
