Answer:
To be honeest i dont know
Step-by-step explanation:
Answer:
c. (-2, 5)
Step-by-step explanation:
y - 2 = 3/2(x + 4)
to know which is the correct option we have to replace the equation x and y with what is in the point
a.
y - 2 = 3/2(x + 4)
(-1) - 2 = 3/2((-2) + 4)
-3 = 3/2(2)
-3 = 3
Wrong
b.
y - 2 = 3/2(x + 4)
(5) - 2 = 3/2((-6) + 4)
3 = 3/2(-2)
3 = -3
Wrong
c.
y - 2 = 3/2(x + 4)
(5) - 2 = 3/2((-2) + 4)
3 = 3/2(2)
3 = 3
Correct
d.
y - 2 = 3/2(x + 4)
(-1) - 2 = 3/2((6) + 4)
-3 = 3/2(10)
-3 = 15
Wrong
The vertex angle bisector divides the triangle into two congruent right triangles. The sine of half of the vertex angle will be half of the base divided by the side (from the definition of the sine of an angle). Then the total vertex angle is ...
α = 2×arcsin(3.5/5) ≈ 88.9°
_____
Using the Law of Cosines, the vertex angle can be found as
arccos((7^2 -5^2 -5^2)/(-2*5*5)) = arccos(1/50) ≈ 88.9°
The answer is b since it does not touch the origin! (0,0)