Answer:
The coordinates of the intercepts are (0,1) and 
Step-by-step explanation:
<u>Intercepts of a Function</u>
Given a function y=f(x), the intercepts with the x-axis, if any, can be found by solving the equation:
y = f(x) = 0
The intercepts with the y-axis can be found by calculating
f(0)
We are given the function
y - 4x = 1
To find the x-intercepts, set y=0:
0 - 4x = 1
Solving:

For x=0:
y - 4*0 = 1
y = 1
The coordinates of the intercepts are (0,1) and 
Answer:
The answer should be 12:39
Corey stepped back 59.71 feet to get a better view of the bird.
Explanation:
This is a right angled triangle. Let
be the angle of elevation.
Let the adjacent side of the triangle be x for the angle 
Let the opposite side of the triangle by y for the angle 
Thus,

Since, the height of the tree is 80 feet, 
To find the value of x, let us substitute
and 

Since, Corey moves back a few steps to gain a better view of the bird, the angle of elevation is 41°
Now, we shall find the x for
and 

To find how many feet Corey step back is to subtract the value of two adjacent sides, thus,

Thus, Corey stepped back 59.71 feet to get a better view of the bird.
Hey there! :)
Answer:
n = 12.
Step-by-step explanation:
Given:
5/6n = 10
Solve by isolating the variable. Divide both sides by 5/6. (Multiply by the reciprocal)
5/6n · 6/5 = 10 · 6/5
n = 10 · 6/5
n = 12.
Changing from negative to positive