Answer:
2nd option
Step-by-step explanation:
Using the identities
tan²θ + 1 = sec²θ
cotθ = 
Given
secθ = - 
, then
tan²θ + 1 = (- )² = 
( subtract 1 from both sides )
tan²θ = 
( take the square root of both sides )
Since 
< θ < π and tanθ < 0 , then
tanθ = - 
Then
cotθ = 
= - 
Answer:
-18
Step-by-step explanation:
Answer: E. (126 + 10.5x) square feet
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The length of a living room is 12 feet and its width is 10 1/2 feet. If the length of the room is being expanded by x feet, then the new length would be (12 + x) feet
Therefore, an expression to represent the new area of the living room in square feet would be
10.5(12 + x)
The expanded form of the expression would be
(126 + 10.5x) square feet
I hope this helps you
f(x)=x-12
X=f(x)+12
f^-1(x)=x+12
Answer:
y > x + 1 ; y ≤ 10 ; x ≥ 0
Step-by-step explanation:
First, we need to get the equation of the straight line. The equation of the straight line is expressed as y = mx+c
m is the slope
c is the y-intercept
Using the coordinate points (0, 1) and (1,2)
m = (2-1)/(1-0)
m = 1/1 = 1
y-intercept c = 1 (the point where the line cuts the y-axis)
Substitute;
Since y = mx+c, then y = 1x + 1
y = x+1
Since the line is a broken line and shaded above, then y > x+1
Also, the point shaded on the graph indicates y ≤ 10 ; x ≥ 0
