Use the pythagorean theorem to find the value of c.​

c =

Step-by-step explanation:

Using Pythagoras' theorem in the right triangle , with c the hypotenuse

c² = 10² + 14² = 100 + 196 = 296 ( take the square root of both sides )

c = ≈ 17.2 ( to 1 dec. place )

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.