Factorize 9x square - y square using a square -b square formula​

Step-by-step explanation:

(9x)^2 - y^2

To do this we have to apply the formula a^2 - b^2

=(a+b) (a-b)

Step-by-step explanation:

=(3x)^2 - (y)^2

=(3x+y) (3x-y)

Is the answer

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(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week