Find EF given E (-7, -2) and B (11, 3)
how do i solve this?

EF ≈ 18.68

Step-by-step explanation:

Based on the info I am given I believe they are asking for the distance between E and F (i think you wrote B by mistake). (d = distance)

d =√ (x2 - x1)² + (y2 - y1)²   -->   (this is the distance formula)

d =√ (11 - (-7))² + (3 - (-2))²

d =√ (18)² + (5)²

d =√ 324 + 25

d =√ 349

d ≈ 18.68

(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