Answer:
Step-by-step explanation:
Given
Solving (a): 
We have:
Express f(x) as y
Swap x and y
Add 8 to 
Square both sides
Rewrite as:
Express y as:
To determine the domain, we have:
The original function is
The range of this is: 
The 
of the 
function is the 
of the 
function.
<em>Hence, the domain is:</em>
Yes it is equal
75/100=15/20=3/4
Since the triangle is a right triangle at point B, then line AB is perpendicular to line BC.
For perpendicular lines, the product of their slopes is -1.
Slope of AB = (5 - 0)/(2 - 5) = 5/-3 = -5/3
Slope of BC = (y - 5)/(7 - 2) = (y - 5)/5
-5/3(y - 5)/5 = -1
-5(y - 5)/15 = -1
-5(y - 5) = -15
y - 5 = 3
y = 3 + 5 = 8
Therefore, the y-coordinate of point C is 8.
Answer:
n=6, m=6√3
Step-by-step explanation:
n = Opposite leg = sin(30°)*hypotenuse = (1/2)*12 =6
m= adjacent leg = cos(30°)*hypotenuse =((√3)/2)*12=6√3
