Since it is perpendicular to y=3x-1, the slope must be a negative reciprocal.
there the slope of the perpendicular line is
So now we have,
To find b, we use the point that the line passes through and substitute it to the y and x values.
which would give us b=5/3
Therefore, the equation of the line is
Answer:
The change in value is 19,000 altogether and 1900/year
Step-by-step explanation:
Change in value:
initial value - final value
= $26,000 - $7000
= $19,000
Change in value/year:
change in value/time
= $19,000/10
= $1900/year
Answer:
θ = 
(60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = 
, so
θ = 
( ) = ( or 60° )
Answer:
The domain of function (m.n)x is same as domain of function m(x).
Step-by-step explanation:
Domain: Any set of input values for which the function is defined and valid.
m(x)=x+5/x-1
Domain of m(x) is x>1 or x<1, x≠1, because if x=1 the function will be undefined.
n(x) = x – 3
Domain of x -3 is -∞<x<∞ i.e all real numbers
(m.n)x = (x+5/x-1)(x-3)
= (x+5)(x-3)/x-1
The Domain of (m.n)x is x<1 or x>1 or x≠1 because the function is undefined for x=1
So, the domain of function (m.n)x is same as domain of function m(x).
Answer:
Step By Step Explanation:
Follow PEMDAS Order Of Operations
Calculate Within Parenthesis: 
Calculate Exponents: 
Divide: 
Add
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