Find the perimeter of quadrilateral pqrs with the vertices p(2,4), q(2,3), r(-2,-2), and s(-2,3).

Step-by-step explanation:

we know that

The perimeter of quadrilateral PQRS is equal to the sum of its four length sides

the formula to calculate the distance between two points is equal to

we have

the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3)

step 1

Find the distance PQ

P(2,4), Q(2,3)

substitute in the formula

step 2

Find the distance QR

Q(2,3), R(-2,-2)

substitute in the formula

step 3

Find the distance RS

R(-2,-2), and S(-2,3)

substitute in the formula

step 4

Find the distance PS

P(2,4), S(-2,3)

substitute in the formula

step 5

Find the perimeter

substitute the values

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

the function makes a strait line horizontally with no x intercept but a y intercept at 9.