The diagram shows the points A(-1,0) and B(0,3). (i) Find the equation of the line passing through A and B.
(ii) Given that the length of AB is the square root of h units, find the value of h.
The point (-5,k) lies on BA produced.
(iii) Find the value of k.
(iv) Given that y=x+1 is the line of symmetry of triangle ABC, find the coordinates of C.

step-by-step explanation:

b

step-by-step explanation:

b

(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