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
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.