(30 Points)The graph shows two lines, A and B. How many solutions are there for the pair of equations for lines A and B? Explain
your answer.
2 answers:
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Answer:
See explanation
Step-by-step explanation:
If a quadratic trinomial has a leading coefficient of 1 and a positive constant, then it is very easy to factor.
You just have to look for two factors of the constant term that add up to the coefficient of x( the middle term).
Then you write as factors.
For instance;
To factors of 6 that add up to 5 are 2 and 3.
Therefore the factorization is:
Answers are in bold.
<em><u>For the first one:</u></em>
The total area of both shaded and unshaded portions is equal to , which simplifies to
. The area of the middle white portion is
, which simplifies to
. To find the area of the shaded portion, we do
. Combining like terms, we get
as our expression for the area of the shaded portion of the first rectangle.
<u><em>For the second one:</em></u>
The total area of both shaded and unshaded portions is equal to , which simplifies to
. The area of the middle white portion is
, which simplifies to
. To find the area of the shaded portion, we do
. Combining like terms, we get
as our expression for the area of the shaded portion of the second rectangle.