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:
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Answer:
Step-by-step explanation:
<u>Corresponding side have same ratio:</u>
- 55/121 = 5/11 (divide by 11)
- 40/88 = 5/11 (divide by 8)
- 30/66 = 5/11 (divide by 6)
The similarity ratio or the scale factor of the larger triangle to the smaller is 5/11
Answer:
36
Step-by-step explanation:
18 × 2 = 36
Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg
The slope of a line perpendicular to another is the negative reciprocal of the original. The negative reciprocal of -1 is 1. The equation will read:
y=x+b
To solve for the y-intercept (b), plug in the given values of x and y:
4=-2+b
<em>*Add 2 to both sides*</em>
D. 6
Hope this helps!!
Answer:
A≈345.58cm²
Step-by-step explanation:
Radius= 5cm and the Height= 6cm