A bag contains purple marbles and blue marbles, 65 in total. The number of purple marbles is 5 more than 3 times the number of b
1 answer:
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When solving polynomial equations, first set the equation
equal to zero, then check for a Greatest Common Factor.
Since there is no greatest common factor, this will make life a
little bit more difficult because we will have to factor the trinomial.
First, find all possible factors for constant term.
I have listed these in red below.
Make sure to reverse the factors since in each binomial,
the first term is different so we need to reverse the factors.
The factors of 5x² will just be 5x and z.
After finding factors for the constant and the leading
coefficient for your trinomial, we can eliminate some factors.
If you have an odd coefficient on the middle term,
you can eliminate any pairs of even factors.
So the group I crossed out in purple below will be eliminated.
Another strategy is to use factors a little closer together.
So I would go with the 4 and 3 group.
Surely enough, our trinomial does factor with the 4 and 3.
Now set the factored trinomial equal to 0.
Then use zero product property and you have your answer.
Answer:
<em>The shortest possible length for the service road is 2.88 miles.</em>
Step-by-step explanation:
According to the below diagram, and
are the positions of airport, shopping center and factory respectively.
Given that, and
In right triangle
The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is .
That means, is also a right triangle in which
, Hypotenuse
miles and
is the opposite side in respect of
or
.
Now in right triangle
So, the shortest possible length for the service road is 2.88 miles.
