Answer:

Step-by-step explanation:
Vertex is the minimum or maximum point of parabola
Vertex of parabola is (h,k)
Therefore, from given graph (-3,-2) is the lowest point.
Vertex of parabola is at (-3,-2).
Standard equation of parabola

Substitute the values


(-1,0) lies on the parabola.
Therefore, it satisfied the equation of parabola.


Now, using the value of a





By comparing with

We get



The answer would be D, 12 units! :)
The piece of wood is 48 times as long as the nail (12 feet = 144 inches) because 3 goes into 144 48 times.
The answer would be b A≈1636.8
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x -
x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified