ANSWER
The vertex is (-2,1)
EXPLANATION
We want to find the vertex of
We complete the square to obtain,
The first three terms forms a perfect square trinomial.
The vertex form is
This equation is in the form;
where (h,k)=(-2,1) is the vertex.
For the answer to the question above, the slope of segment AC is (-6/22) = -3/11.
The slopes of perpendicular lines are negative reciprocals, so
you know that the slope of the perpendicular bisector will be 11/3.
The midpoint of segment AC is (7, -5).
Now you have the slope of the perpendicular bisector, and a
point on it. You should be able to complete the equation now.
Notice how sneaky this question is. You don't need to know
point-B at all, and you don't even need to know that there's
any triangle. All you need to know is points A and C.
Answer:
12/5
Step-by-step explanation:
since we are dealing with the angle at Z, we consider Z also to be the center of a circle.
then 10 is the radius of this circle.
24 is tan Z in this circle with radius 10.
tan Z in the standard circle with radius 1 is simply 1/10 of the tan Z in the circle with radius 10.
so, tan Z = 24/10 = 12/5
