I am a quadrilateral with 2 pairs of opposite sides that are parallel, 2 pairs of sides that are of equal length,and 4 right ang
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Answer:
See explanation
Step-by-step explanation:
1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as
2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.
In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.
3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:
4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:
5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:
6. Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5:
7. Now that the problem is written with four terms, you can factor by grouping:
(a) The differential equation is separable, so we separate the variables and integrate:
When x = 0, we have y = 2, so we solve for the constant C :
Then the particular solution to the DE is
We can go on to solve explicitly for y in terms of x :
(b) The curves y = x² and y = 2x - x² intersect for
and the bounded region is the set
The area of this region is