Let her total earnings = y (dependent variable)
and her hours worked = x (independent variable)
y = 18x + 75
We know that if two lines are Parallel then both the lines have same Slope.
Given : Equation of 1st Parallel line is -x + 3y = 6
this can be written as :
3y = x + 6
y = x/3 + 2
Comparing with standard form : y = mx + c
we can notice that slope = 1/3
We know that the form of line passing through point (x₀ , y₀) and having slope m is :
y - y₀ = m(x - x₀)
Here the 2nd Parallel line passes through the point (3 , 5)
x₀ = 3 and y₀ = 5 and we found m = 1/3
⇒ y - 5 = 1/3(x - 3)
⇒ 3y - 15 = x - 3
⇒ -x + 3y = 12
Answer:
x = -2+√3i and -2-√3i
Step-by-step explanation:
The formula for the general formula is expressed as;
x = -b±√b²-4ac/2a
Given the expression
x²+4x+7 = 0
a = 1, b = 4 and c = 7
Substitute
x = -4±√4²-4(1)(7)/2(1)
x = -4±√16-28/2
x = -4±√-12/2
x = -4±√4*-3/2
x = -4±2√-3/2
x = -4±2√3i/2
x = -4+2√3i/2 and -4-2√3/2
x = -2+√3i and -2-√3i
