Answer:
[See Below]
Step-by-step explanation:
<h2>For Point Slope Form:</h2>
Point slope form is:
'm' is the slope
(x1, y1) is a coordinate point.
<h3>Slope:</h3>
Slope is rise over run.
We are given the points (-1,5) and (3,-3).
The slope of the line is -2.
I will use (-1,5) as the point:
<h2>For Slope Intercept:</h2>
Slope intercept is:
'm' - Slope
'b' - y-intercept
We can use the point slope equation to convert it into slope intercept form:
<h2>For Standard Form:</h2>
Standard form is
Using out slope intercept form equation:
Answer:
Step-by-step explanation:
Using the Pythagorean identity
sin²x + cos²x = 1, then
cosx =
cosΘ =
= = =
Answer:
22 times
Step-by-step explanation:
Infinitely many/all real numbers
Answer:
Length of the drain pipe is 72.15 feet.
Step-by-step explanation:
From the figure attached,
A drain pipe is to be laid between two pints P and Q.
Point P is 15 ft higher than the other point Q.
Angle of elevation of point P from point Q is 12°.
Let the length of pipe is l feet.
By applying Sine rule in the given right triangle PRQ,
Sin(∠Q) =
Sin(12) =
0.20791 =
l = 72.15 ft
Therefore, length of the drain pipe is 72.15 feet.