Determine if the three side lengths given can create a triangle or not. Prove it by working out the inequality.
1 answer:
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The Greatest Common Factor (GCF) is very important when factoring. Later on, you will forget to pull out a GCF and the answer will be wrong. Always look for a GCF before doing anything.
Let's try factoring these:
a.)
The greatest common factor of this expression is 9, because it is the maximum number that both can go into. Let's solve.
This is the simplest this expression can get. This would be your final answer. Let's try the other one.
b.)
The GCF of this one is 12. Let's simplify it.
This is also the simplest you can get it. You can do nothing further. So, your final answers are:
a.)
b.)
Answer:
Step-by-step explanation:
Here we can see that the parent function is and the translated function is g(x). f(x) is a parabola.
Rule says that any factor if multiplied by f(x) is going to contract the graph towards the y axis and vice versa.
Similarly any factor if f(x) is divided by some factor it is going to be stretch the graph away from the y axis and vice versa.
Here we can see that the translated graph g(x) is stretched away from the y axis with reference to the parent function f(x). Hence as per he rule discussed above, we get a preliminary information that the parent function f(x) is being divided by some factor.
now we are given that
Where as
{as given in the graph}
Hence
at x=3 , f(x) = 9 and g(x) = 1 , and also we have discussed above that f(x) is divided by some factor. Hence