We have been given an expression
. We are asked to factor the given expression by grouping.
First of all, we will make two groups of our expression as:

Now we will factor of greatest common factor from each group.


Now we will factor out common terms
as:

Therefore, the factorized form of our given expression would be
.
Answer:
Equivalent fractions and ratios mean that when simplified, they are the same one fraction or ratio. see examples below.
Step-by-step explanation:
For example, the fraction 1/2 is the same as 2/4 or 15/30 because when you simplify them, they are still 1/2. Therefore they are equivalent.
For example, the ratio 1:2 is the same as 5:10 or 10:20 since when broken down they all come down to 1:2. Hence they are equivalent.
Hope this answers your question.
Answer: 6.75 feet
Step-by-step explanation:
Since, the ratio of the side of the similar triangle = 2 : 3
Thus, by the property of similar triangle,
The ratio of the altitudes of the triangle = 2 : 3
Let the altitude of smaller triangle = 2 x
And, the altitude of larger triangle = 3 x
Where x is any number.
According to the question,
2 x = 4.5
x = 2.25
Therefore, the altitude of larger triangle = 3 × 2.25 = 6.75 feet
The 15% tip would be 50*0.15=$7.5
You do 3/15 which is 0.2
then 0.2*20 which is 4
you can expect 4 to win a prize
hope this helps and you rate me good;)