Answer:

Step-by-step explanation:
W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form
.
We know that vertex form of parabola in form
, where (h,k) in vertex of parabola.
Upon substituting coordinates of vertex, we will get:

To find the value of a, we will substitute coordinates of point (0, -1) as:







Therefore, our required equation would be
.
Answer: A
Explanation: the two triangles are proportional, so find the “proportion” between the two sides
12/4=3
3*3=9
3z=6
Given:

To find:
The exact value of cos 15°.
Solution:

Using half-angle identity:


Using the trigonometric identity: 

Let us first solve the fraction in the numerator.

Using fraction rule: 

Apply radical rule: ![\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Cfrac%7B%5Csqrt%5Bn%5D%7Ba%7D%7D%7B%5Csqrt%5Bn%5D%7Bb%7D%7D)

Using
:


<span>B. ∠E and ∠H are alternate exterior angles</span>
2. -28
5. -60
8. -135
The answers are above. :)