Answer:
m<6 = 45° = D
Step-by-step explanation:
- 4x - 15 = x + 30
- -x -x
- 3x - 15 = 30
- +15 +15
- <u>3x = 45</u>
- 3 3
- x = 15
- m<6 = 4x - 15
- m<6 = 4(15) - 15 = 45
Answer:
-4,-3,0,2
Step-by-step explanation:
Answer:
Step-by-step explanation:
We want to find the equation of the circle: in general form.
We need to expand the parenthesis to obtain:
This implies that:
We add -9 to both sides of the equattion to get:
Simplify the constant terms to get:
Answer:
a) The domain of f(x) is .
b)
The inverse function is:
So we need
Applying ln to both sides
So the domain of f(x) is .
(b) Find F −1 and its domain.
is the inverse function of f.
How do we find the inverse function?
To find the inverse equation, we change y with x to form the new equation, and then we isolate y in the new equation. So:
Original equation:
f(x) = y = \ln{e^{x} - 3}
New equation
Here, we apply the exponential to both sides:
Applying ln to both sides
The inverse function is:
The domain is
is always a positive number, so it is always going to be larger than -3 no matter the value of x. So the domain are all the real values.
Step-by-step explanation:
it's an isosceles triangle
ht will intersect the base at 90°
so x^2 =33^2+15^2
x = 36.2