Given:
The equation of a line is:

A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get

We know that the product of slopes of two perpendicular lines is always -1.



Slope of the required line is
and it passes through the point (-5,-3). So, the equation of the line is:



Using distributive property, we get




Therefore, the equation of the line is
. Hence, option A is correct.
Answer:
3r+8
Step-by-step explanation:
Answer:

Step-by-step explanation:
According to congruent chords and arcs theorem, if
then
.
This means that
Thus:
(full circle = 360°)



Plug in the values into the equation


Add like terms

Subtract 36 on both sides


Divide both sides by 12

Answer:
520 feet
Step-by-step explanation:
The easiest way to visualize this problem is to sketch a quick diagram.
For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.
Hope this helps!
Answer:
Use the given functions to set up and simplify:
F(−2) and that equals to 13
Step-by-step explanation:
So, therefore, your answer to the problem is 13.