3x-6+10x+15=35
10x+3x=35-15+6
13x=26
x=2
Answer:
3x+y=2
Step-by-step explanation:
Just remember that standard form is expressed as Ax+By=C. I also attached a picture to prove that 3x+y=2 is the standard form equation that makes up the line.
Hope this helps and answers your question :)
Answer: 11x^2
Step-by-step explanation:
I suppose that the options are:
a) 9/x
b) 11x^2
c) 20x^9-7x
d) 20x -14
First, a polynomial is something like:
aₙx^n + .... + a₂*x^2 + a₁*x^1 + a₀*x^0
Where n is the degree of the polynomial, the therms a are the coefficients, and aₙ is the leading coefficient.
Depending on the number of terms of the polynomial, it takes different names.
If we have only one term, it is called a monomial, if it has two terms, it is called a binomial, and so on.
So if we want to find a monomial, then we need to look at the options with only one term.
The options with only one term are options a and b.
But option a is a quotient (we have a negative power of x: 9/x = 9*x^-1)
So this is not a polynomial, then the correct option is option b.
Answer:
First option: cos(θ + φ) = -117/125
Step-by-step explanation:
Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.
Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.
Therefore:
cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)
cos(θ + φ) = (-96/125) - (21/125)
cos(θ + φ) = -96/125 - 21/125
cos(θ + φ) = -117/125
If you would like to know the Tom's pay for the week, you can calculate this using the following steps:
P = B * h
P ... the pay
B ... the base pay
h ... the number of hours worked
B = $6.35
h = 28 hours
P = B * h = $6.35 * 28 hours = $177.8
<span>Tom's pay for the week would be $177.8.</span>
