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:
40%
Step-by-step explanation:
Make it so the denominator is 100 since a percentage is out of a 100.
2/5 x 20/20 = 40/100
Now turn 40/100 into a percent. Should be simple. 40 out of 100 is 40%.
Answer:
C complex
Step-by-step explanation:
a+ bi
a is the real part and bi is the imaginary part
Together they make a complex number
A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x isrelated to. For example, consider thefollowing sets X and Y.
Answer:
10000
Step-by-step explanation:
0.001 = 1/1000
so, we take an n bigger than 1000, let's say 10000, then 1/1000 > 1/10000 and 1/1000 ∉ (0, 1/10000).