Proportion can be used to find the height = 0.75
Step-by-step explanation:
A billboard is 27 feet high and casts a 36-foot shadow at noon.
Height of billboard = 27 feet
Height of shadow of billboard = 36 feet
A fir tree next to the billboard casts a 48-foot shadow.
Height of shadow of fir tree = 48 foot
Proportion can be used to find the height = 0.75
For this case we have that the commutative property establishes that the order of the factors does not alter the product. Example:
Then we have the following options illustrate the property:
It is necessary to emphasize that option b illustrates the associative property and in option c equality is not fulfilled
Answer:
Option A, D, E, F
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,
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:
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