Answer:
hope this helps
the explanation is in the picture
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We can use the ratios for special triangles (see the attachment below). We'll be using the 45-45-90 triangle. We notice that side BC is equal to

, and side AC (x using the special right triangle) is equal to 16. We can therefore say that side BC is equal to

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:)
By definition we have an integer number given by:
An integer is an element of the numeric set that contains the natural numbers {N} = {1,2,3,4, ...}, its opposite and zero.
On the number line we find the negative numbers to the left of the zero and to its right the positive numbers.
We have then, according to the definition, that the following are whole numbers:
-527, 1
Answer:
B = {x | x is an integer}
-527 ∈ B
1 ∈ B
option D
Cost of hosting the tournament : $1,000
If it rains, the club will lose the investment: $ -1,000
If it is sunny, the club will collect $4,500 ; profit: 4,500 - 1000 = 3,500
chance of rain is 20%
-1,000 * 20% = -200
3,500 * 80% = 2,800
2,800 - 200 = 2,600 Choice C.
Answer: Option D

Step-by-step explanation:
For a quadratic function of the form

The x coordinate of the vertice is:

In this case the function is:

So

The x coordinate of the vertice is:

The y coordinate of the vertice is:

The vertice is: (-3, -11)
The form e vertice for a quadratic equation is:

Where
the x coordinate of the vertice is h and the y coordinate of the vertice is k.
Then h=-3 and k =-11
Finally the equation
in vertex form is:
