Answer:
1. (4,1,2,3,5)
Step-by-step explanation:
Since all the members of set A are present in "1"
Answer:
The value of k is -2
Step-by-step explanation:
The cut point with the y axis for both graphs occurs when x = 0
We then have:
For f (x):
The cut point for the y axis is:
For g (x):
The cut point with the y axis is:
The value of k is given by the vertical displacement of graph k units.
We then have:
Let's clear k:
I know that this is not the answer you are looking for but maybe you can use the step-by-step explanation to figure it out
Only figure C is a regular polygon since it has all sides congruent and all angles congruent.
Answer:
Step-by-step explanation:
∵ The quadratic equation form is :
y = [1/2(b - k)] (x - a)² + (b + k)/2
Where (a , b) is the focus and directrix y = k
∵ The focus is (4 , -3) and directix is y = -6
∵ 
∴ 
∴
another way:
Assume that (x , y) is the general point on the parabola
∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)
By using the distance rule:
∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)
∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9
∴ 12y - 6y = (x - 4)² + 9 - 36
∴ 6y = (x - 4)² - 27 ⇒ ÷ 6
∴ y = 1/6 (x - 4)² - 9/2
Answer:
D is the correct answer
Step-by-step explanation:
The coordinates of the x axis is always listed first.
On the x axis the line was less than one and more than zero leaving the fraction as the only option.
hope it helps
have a great day
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