99.3k views
1 vote
Find the distance from point A(15,−21) to the line 5x+2y = 4 . Round your answer to the nearest tenth.

User Seifolahi
by
7.8k points

1 Answer

0 votes

Answer:

5.4 units

Explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4

User Menna
by
8.2k points

Related questions

asked Nov 23, 2024 155k views
Luke Smith asked Nov 23, 2024
by Luke Smith
8.1k points
1 answer
3 votes
155k views
asked Dec 25, 2024 60.5k views
Grishka asked Dec 25, 2024
by Grishka
8.9k points
2 answers
3 votes
60.5k views