Answer:
x =
Step-by-step explanation:
Given the graph intersects the y- axis at (0, - 18), then substitute the coordinates into the equation y = x² + bx + c
- 18 = 0 + 0 + c ⇒ c = - 18
In the same way substitute (6, 0) into the equation
0 = 6² + 6b - 18
0 = 36 + 6b - 18
0 = 18 + 6b ( subtract 18 from both sides )
- 18 = 6b ( divide both sides by 6 )
- 3 = b
Hence equation is
y = x² - 3x - 18
Given the equation in standard form : y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
y = x² - 3x - 18 is in standard form
with a = 1, b = - 3, c = - 18, hence
= - =
The x- coordinate of the turning point is
The only line that is undefined is a vertical line because it has "infinite" slope. It will always have the form of x=k. It is undefined because infinite slope is undefined. It is also the only line which is not a function.
Answer:
As can be clearly seen from the attached diagram angles PBC and BAD are congruent by the Corresponding Angles Theorem AB acts as the transversal for the lines BC and AD which are parallel.
Also, it can be clearly seen that the angles ABC and BAT are congruent by the Alternate Interior Angles Theorem as AB acts as the transversal for the lines BC and TAD which are parallel.
Thus, the only option from the given list of options which matches the answer is Option A.
Thus, Option A is the correct option and thus the final answer.
Step-by-step explanation:
Answer:
a. the mean of the population
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
To find the sample size necessary we need values of M(maximum margin of error), z(related to the confidence level) and , which is an estimate of the true population proportion p.
The mean of the population is not needed.
So the correct answer is:
a. the mean of the population
Answer:
If we divide 360 degree into four parts the all four parts hold 90 degree and the degree of angle DMB= 60.
60 degree.