<span>y in (-oo:+oo)
(3*y+6)/11 = -9 // + 9
(3*y+6)/11+9 = 0
(3*y+6)/11+(9*11)/11 = 0
3*y+9*11+6 = 0
3*y+105 = 0
(3*y+105)/11 = 0
(3*y+105)/11 = 0 // * 11
3*y+105 = 0
3*y+105 = 0 // - 105
3*y = -105 // : 3
y = -105/3
y = -35
y = -35</span>
The equation of the line is
4b + a = 0
The slope of the line is
m = -1/4
With a rise of 1 and run of -4 which corresponds to a hypotenuse of
√(4² + (-1)²) = √17
Therefore, the sine of the angle is
sin θ = 1/√17<span />
Quantity of paint left = 
gallons
Solution:
Quantity of yellow paint = 
gallons
Quantity of green paint = 
gallons
Quantity of blue paint = 
gallons
Quantity of paint used = 
gallons of each paint
Quantity of paint left = 
gallons of each paint
Quantity of paint left = 
Taking LCM for 5, 6, 8, we get LCM = 120
Hence, Mark will have gallons of paint left after painting the mural.
<h3><em><u>The equation to find the number of hours for which the total cost will be the same for the two services is:</u></em></h3><h3>12 + 5h = 18 + 3h</h3>
<em><u>Solution:</u></em>
Let "h" be the number of hours
Given that,
<em><u>Derrick's Dog Sitting charges $12 plus $5 per hour</u></em>
Cost : 12 + 5(number of hours )
Cost : 12 + 5h ---------- eqn 1
<em><u>Darlene's Dog Sitting charges $18 plus $3 per hour</u></em>
Cost: 18 + 3(number of hours)
Cost: 18 + 3h ---------- eqn 1
<em><u>For eqn 1 = eqn 2, the number of hours for the total cost will be the same for the two services</u></em>
Therefore,
12 + 5h = 18 + 3h
Thus option A is correct
