Answer:
Part 1) The slope is 
Part 2) The slope is 
Part 3) The slope is 
Step-by-step explanation:
Part 1) we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have

so
the slope is 
Part 2) we know that
The equation of the line in standard form is equal to

where
the slope is equal to 
in this problem we have

so

substitute


Part 3) we know that
The formula to calculate the slope between two points is equal to
we have
Substitute the values
Answer:
(1) -5
Step-by-step explanation:
Put the value where the variable is, read the graph, and do the arithmetic.
g(2) = 3f(2) -2 = 3(-1) -2
<em> g(2) = -5</em>
__
<em>Additional comment</em>
f(2) is the point on the graph where it is 2 units to the right of the y-axis. At that point, the graph is 1 unit below the x-axis, so f(2) = -1.
<h3>Given:</h3>
- w= 6 units
- h= 6 units
- l= 10 units
<h3>Note that:</h3>
- w: width
- h: height
- l: length
<h3>To find:</h3>
- The volume of the given triangular prism.
<h3>Solution:</h3>
- Triangular prism is a 3 sided prism with same area of cross section with 2 triangular bases.

Let's solve!
First, let's multiply width and height.


Now, we'll have to divide the answer by 2.


Then, multiply the answer by length.


<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>triangular</u><u> </u><u>prism</u><u> </u><u>is</u><u> </u><u>1</u><u>8</u><u>0</u><u> </u><u>cubic</u><u> </u><u>units</u><u>.</u>
Answer:
The value is 
Step-by-step explanation:
The diagram illustrating the question is shown on the first uploaded image
From the question we are told that
The distance from city A to B is AB = 467.3 miles
The bearing from B to C is 
The bearing from B to A is 
The bearing from A to B is 
The bearing from A to C is 
Generally from the diagram

=> 
Also

and

=> 
=> 
Generally according to Sine Rule

=>
So

=> 
Also


Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as
![k = [CA +BC] - AB](https://tex.z-dn.net/?f=k%20%3D%20%5BCA%20%2BBC%5D%20%20-%20AB%20)
=> ![k = [260 .1 +316.8]- 467.3](https://tex.z-dn.net/?f=%20k%20%3D%20%5B260%20.1%20%2B316.8%5D-%20467.3%20)
=> 
I have eight coupons that are all worth -.25