48.8052 or 131.195 ° degrees is the answer for angle A
Y = 3x + 1
slope: (y2-y1)/(x2-x1) = (4-1)/(2-1) = 3/1 = 3
point slope form:
y-y1 = m (x-x1)
y-1 = 3 (x-0)
y-1 = 3x
y = 3x + 1
Answer: Slope is -1
Using the slope formula, we get
m = (y2 - y1)/(x2 - x1)
m = (0 - 4)/(2 - (-2))
m = (0 - 4)/(2 + 2)
m = -4/4
m = -1
What's going on here is that we subtract the y values 0 and 4 to get -4. This means that we dropped 4 units vertically to go from A to B. This is the rise. So rise = -4
The run is 4 because we moved 4 units to the right to go from A to B. This is found algebraically when we subtracted the x coordinates, so 2 - (-2) = 2 + 2 = 4.
Slope = rise/run = -4/4 = -1
You have the correct answer, assuming you wrote -1. I think your teacher just marked it wrong because you forgot to show steps.
Let's factor the trinomial.
x^2+19x+84.
Find two numbers that add to 19 and multiply to 84.
They happen to be 7 and 12.
x^2+7x+12x+84
x(x+7)+12(x+7)
Gather like terms.
(x+7)(x+12)
Therefore, the answer is D.