Answer:
y = (-7/3)(x - 9)
Step-by-step explanation:
<em><u>(12, - 7)</u></em>
y = a(x - h)^2
-7 = a(12 - h)^2
- 7 = a(144 - 24x + h^2)
<em><u>(9,0)</u></em>
0 = a(x - h)^2
0 = a(9 - h)^2
0 = a(81 - 18h + h^2)
From (9,0) we can conclude that
a = 0
or
(9 - h)^2 = 0
Let's try the second possibility.
Take the square root of both sides.
9 - h = sqrt(0)
Add h to both sides
9 - h = 0
h = 9
So now what we have is
y = a(x - 9)
Use the first equation to get a
-7 = a(12 - 9)
-7 = a(3)
-7/3 = a
Answer
y = (-7/3)(x - 9)
Answer:
A triangle.
Step-by-step explanation:
Answer:
1. 
2. 3.2362
3. 
Step-by-step explanation:
1.
Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>
By pythagorean theorem, we have the "hypotenuse" as 
Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc
=
</em>
<em />
<em>First answer choice is right.</em>
<em />
2.
By definition, Csc
is the inverse of Sine
. <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

Third answer choice is right.
3.
By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

Third answer is right.