Answer:


Step-by-step explanation:

Completing the square is a process of converting a quadratic equation in standard form into vertex form.
The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

Factor out the coefficient of the quadratic term,

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

Simplify,



The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

Answer: 4
Step-by-step explanation:
We know that a plane is 2 dimensional surface that extends infinitely far.
The number of points required to define a plane = 3
Here , we have 4 points A, B, C, and D.
So, the number of possible combinations of 3 points to make a plane from 4 points = 
[
]
Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.
I think the answer is A because the data is skewed to the right
The median (middle) isn't 10, it's 8
The interquartile range (IQR) is 7 not 6 because you have to subtract the first and third quartile 13 - 6 = 7 not 6
Hope this helps! ;)
Answer:
360 degrees divided by that order
Answer:
15, 5, 5/3, 5/9, 5/27
Step-by-step explanation:
Recall, that the general form of a geometric series is
a, ar, ar², ar³, .........
where a is the first term and r is the ratio
It is given that the first time is 15, hence a = 15
also given that ratio is 1/3
hence the first 5 terms are:
15, (15)(1/3), (15)(1/3)^2, (15)(1/3)^3, (15)(1/3)^4
simplifying each term gives
15, 5, 5/3, 5/9, 5/27