Let's look at the first equation.
3y = 5x - 1
y = 5/3 y - 1/3
This line has slope 5/3. A line perpendicular to it has slope -3/5.
The second line is y = -3/5 x + 9.
Its slope is indeed -3/5, so the second line is perpendicular to the first one.
There is an infinite number of lines perpendicular to any given line. You concluded correctly that the two lines in this problem are perpendicular based on the fact that their slopes are negative reciprocals. The second line, y = -3/5 x + 9, is only one line that is perpendicular to the first line. There is an infinite number of lines perpendicular to the first line. All the perpendicular lines have the slope -3/5 and different y-intercepts. The +9 here is just the y-intercept of this specific perpendicular line. Since there is an infinite number of y-intercepts, there is an infinite number of perpendiculars.
Answer:
The answers a ! Hope this helps
Step-by-step explanation:
Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :
So, the required distance is 225.16 feet.
Mean = Average
High average = +114.2 F
Low average = -36.8 F
Mean of the extreme and low temperatures = +38.7 F
Answer:
-25
Step-by-step explanation:
if you are multiplying x by -2/5 you have to divide each side by it to get
x = 10 ÷ -2/5
and if you change it to (10/1)/(-2/5)
=(10/1) • -5/2
and whene you multiply them you get -50/2
which is -25/1 or -25
