<u>Given</u>:
Given that the graph of the quadratic function.
We need to determine the value of a in the function's equation.
<u>Value of a:</u>
The value of a can be determined using the formula,

where (h,k) is the vertex and a is a constant.
From the graph, it is obvious, that the vertex of the parabola is (0,9).
Thus, substituting the vertex (h,k) = (0,9) in the above formula, we get;

-------- (1)
Let us substitute any one of the coordinate that the graph passes through to determine the value of a.
Let us substitute the point (3,0) in the equation (1), we have;




Thus, the value of a is -1.
Hence, Option B is the correct answer.
Four black beads then one white then repeat and that will be the pattern you should use
Answer:


Step-by-step explanation:
Given

Shape: Sphere
Solving (a): The Volume
This is calculated as:

Take
as 3.14 and substitute 14 for r





Solving (b): The Surface Area
This is calculated as follows:

Take
as 3.14 and substitute 14 for r



Answer:
5 30 is my guess
Step-by-step explanation:
<u>Answer:
</u>
The point-slope form of the line that passes through (6,1) and is parallel to a line with a slope of -3 is 3x + y – 19 = 0
<u>Solution:
</u>
The point slope form of the line that passes through the points
and parallel to the line with slope “m” is given as
--- eqn 1
Where “m” is the slope of the line.
are the points that passes through the line.
From question, given that slope “m” = -3
Given that the line passes through the points (6,1).Hence we get 
By substituting the values in eqn 1, we get the point slope form of the line which is parallel to the line having slope -3 can be found out.
y – 1 = -3(x – 6)
y – 1 = -3x +18
On rearranging the terms, we get
3x + y -1 – 18 = 0
3x + y – 19 = 0
Hence the point slope form of given line is 3x + y – 19 = 0