Answer:
Step-by-step explanation:
Sinθ = 
If, sinθ = -
and π < θ < 
Since, sinθ is negative, angle θ will be in IIIrd quadrant.
And the measure of angle θ will be (180° + 30°)
θ = 210°
It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.
Therefore, cos(210°) = 
tan(210°) = 
csc(210°) = 
sec(210°) = 
cot(210°) = √3
Answer:
1.
= 
2.
= 
3.
= 
4.
= 
Step-by-step explanation:
1. 
Taking LCM of (x+3) and (x+5) which is: (x+3)(x+5)

Prove closure: The value of x≠-3 and x≠-5 because if there values are -3 and -5 then the denominator will be zero.
2. 
Factors of x^2-16 = (x)^2 -(4)^2 = (x-4)(x+4)
Factors of x^2+5x+6 = x^2+3x+2x+6 = x(x+3)+2(x+3) =(x+2)(x+3)
Putting factors

Prove closure: The value of x≠-2 and x≠4 because if there values are -2 and 4 then the denominator will be zero.
3. 
Factors of x^2-9 = (x)^2-(3)^2 = (x-3)(x+3)
Factors of x^2-5x+6 = x^2-2x-3x+6 = x(x-2)+3(x-2) =(x-2)(x+3)
Putting factors

Taking LCM of (x-3)(x+3) and (x-2)(x+3) we get (x-3)(x+3)(x-2)


Prove closure: The value of x≠3 and x≠-3 and x≠2 because if there values are -3,3 and 2 then the denominator will be zero.
4. 
Factors of x^2-5x+6 = x^2-3x-2x+6 = x(x-3)-2(x-3) = (x-2)(x-3)
Factors of x^2-16 = (x)^2 -(4)^2 = (x-4)(x+4)

Converting ÷ sign into multiplication we will take reciprocal of the second term

Prove Closure: The value of x≠2 and x≠4 because if there values are 2 and 4 then the denominator will be zero.
Answer:
Step-by-step explanation:
use the formula y=mx+b. the first number in the parenthesis is -3 so that is x. 3 is y and the slope is m
so it is 3=4(-3)+b
Answer:
6
Step-by-step explanation:
66
Answer:
4.5x - y = -1.5
Step-by-step explanation:
y - total
x - minutes
finding the slope intercept form is way easier
slope intercept form: y = 4.5x + 1.5
now, just put it into standard form:
Ax + By = C
4.5x - y = -1.5
remember that x in standard form can't be negative