<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.
m∠5 has the same measure as m∠12 and m∠9 which is 90°
<h3>
Angles</h3>
An angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.
m∠5 = 90° = x°
m∠5 = m∠12 = m∠9 = 90°
m∠5 has the same measure as m∠12 and m∠9 which is 90°
Find out more on Angles at: brainly.com/question/25770607
Answer:
Step-by-step explanation:
The sample space of a single dice is:
Required:
The probability of rolling 3 sixes
In a sample space of a roll of die, we have:
In a roll of dice, the probability of rolling a 6 is:
In 3 rolls, the probability is:
![Pr = [\frac{1}{6}]^3](https://tex.z-dn.net/?f=Pr%20%3D%20%5B%5Cfrac%7B1%7D%7B6%7D%5D%5E3)
A.) x(x-2)
x^2-2
B.) x(x+6)+3(x+6)
x^2+6x+3x+18
x^2+9x+18
C.) (x+3)(x+6)
x^2+6x+3x+18
x^2+9x+18
Answer: Aaron was at the sitter for 5 hours
Step-by-step explanation:
12x + 10 = 58
the 12x is for each hour after the first hour and the 10 is the first hour
-10 from each side
12x = 48
/12
x = 4
4 additional hours plus the original hour
