In the given triangle , Coordinates of A (-1,3) , B (-5,-1), C (3,-1).
Let's find the slope of AB and AC .
Formula of slope is
For AB, slope is,
And slope of AC is
Product of the slopes of AB and AC is
Since the product of the two slopes is -1, so AB and AC are perpendicular.
And if they are perpendicular, angle BAC is 90 degree, so the triangle is right triangle .
Now we check the length of the sides of the triangle, and for that we use distance formula , which is
So for AB,
For AC,
For BC,
And since two sides are equal, so the triangle is isosceles triangle .
Step-by-step explanation:
P(t) = 8 − 2√(2t + 4)
The x-intercept(s) is where t = 0.
P(0) = 8 − 2√(0 + 4)
P(0) = 8 − 4
P(0) = 4
The y-intercept(s) is where P = 0.
0 = 8 − 2√(2t + 4)
2√(2t + 4) = 8
√(2t + 4) = 4
2t + 4 = 16
2t = 12
t = 6
So the intercepts are at (0, 4) and (6, 0).
The easiest way to tell if the function is increasing or decreasing is to graph it. Otherwise, we have to either use calculus to find the derivative, or assume the function is constantly increasing/decreasing and use limits.
lim(t→∞) P(t) = -∞
The function is decreasing.
Answer:
I'm not sure but I think it is C.
Since we have the triangle, but don't know which side 4 is on, we have one where x is opposite a 50 degree angle (they are the same if across either 50 degree side) and another across the 80 degree one. In addition, it's really ratios and sin/cos/tan from there!
