Answer:
The equation of the parallel line is
y = 3x + 9
Step-by-step explanation:
The general equation of a straight line is given as;
y = mx + c
where m is the slope and c is the intercept
If two lines are parallel, their slopes are equal
So the slope of the new line too is 3
Using the point-slope formula
y-y1 = m(x-x1)
y-12 = 3(x-1)
y-12 = 3x-3
y = 3x-3 + 12
y = 3x + 9
Okay, so supplementary angles = 180 degrees.
Starting equation : 4y + 7 + 9y + 4 = 180
Combine like terms : 13y + 11 = 180
Subtract 11 from both sides : 13y = 169
Divide 13 from both sides : y = 13
Insert y value into original m<2 equation : 9(13) + 4
Solve : 121 degrees
If you want to check your work, all you have to do is insert y value into original m<1 equation and then add both m<1 and m<2. If they equal 180, your answer is correct.
4(13) + 7 = 59
59 + 121 = 180
Answer:
It would take about 2 hours or 120 minutes
Because

therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.
Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7
Answer: f(x) = 2x³ + 4x² - 31x + 7
Step-by-step explanation:
We need to find an expression for
.
We can solve it as follows.
We know that,

So,

or

Hence, this is the required solution.