Answer:
or in slope y-intercept form :
Step-by-step explanation:
The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point 
it goes through:
In our case the equation becomes:
This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:
Given:
The table of values for the function f(x).
To find:
The values 
and 
.
Solution:
From the given table, it is clear that the function f(x) is defined as:
We know that if (a,b) is in the function f(x), then (b,a) must be in the function 
. So, the inverse function is defined as:
And,
...(i)
Using (i), we get
Now,
Therefore, the required values are and .
Answer:
1:3
Step-by-step explanation:
That ratio would be 5 :15 or 1:3
Answer:
19.0681
Step-by-step explanation:
Given in the question that,
angle from ted to the dog = 60° with the ground
height of ted from the ground = 16ft
To find,
distance between dog and the door of ted's building
Considering the scenario make a right angle triangle:
<h3>By using pythagorus theorem:</h3>
Tan 40 = opposite / adjacent
Tan 40 = height / distance between dog and the door
Tan 40 = 16ft / x
x = 16 / tan40
x = 19.068057
x ≈ 19.0681 (nearest to thousand)
So, the dog need to walk 19.0681ft to reach the open door directly below Ted.
