The first step to determine the percentage of increase is to
compute for the difference of consumer price index in value.
231.11 (consumer price index for 2012) – 211.4 (consumer
price index for 2007) = 19.71 (increase)
To compute for the percentage of increase, you need to
compare the increase to the consumer price index for 2007.
19.71/211.4 = 9.3% increase
The simplified rational expression is (y - 3)/(y + 3). Where y ≠ -3.
<h3>How to simplify a rational expression?</h3>
A rational expression is in the p/q form. Where p and q are polynomial functions.
To simplify this rational equation,
- Factorize the polynomials in both numerator and denomiantor.
- Cancel out common factors if any.
- If the denominator and the numerator have no common factors except 1, then that is said to be the simplest form of the given rational expression.
<h3>Calculation:</h3>
The given rational equation is
Factorizing the expression in the numerator:
y² - 12y + 27 = y² - 9y - 3y + 27
⇒ y(y - 9) - 3(y - 9)
⇒ (y - 3)(y - 9)
Factorizing the expression in the denominator:
y² - 6y - 27 = y² - 9y + 3y - 27
⇒ y(y - 9) + 3(y - 9)
⇒ (y + 3)(y - 9)
Since they have (y - 9) as the common factor, we can simplify,
⇒ (y - 3)/(y + 3) where y ≠ -3(denomiantor)
Here there are no more common factors except 1; this is the simplest form of the given rational expression.
Learn more about simplifying rational expressions here:
brainly.com/question/1928496
#SPJ9
In order to name the coordinates, you read the X axis first and then the Y axis. So A would be (-4, 4). B would be (-4, 6). C would be (2, 4).
They are not congruent because each angle is a different measure.
Hope this helped! :)
Answer:
See explanation
Step-by-step explanation:
First, convert this to standard form. By completing the square, you can do the following:
This is a circle with center (-1,-2), and radius 7. It looks like the one I graphed below. Hope this helps!