A. 4.898979486
b. 7.416198487
c. 8.544003745
i think at least
Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|
Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5
Required answer is f(x) = one fourth (x - 3)^2 + 5
Answer:
95 ; 105
Step-by-step explanation:
Let :
Aanya's time = x
Krish's time = x + 10
Together = 50
Hence
Aanya's rate = 1/x
Krish's rate = 1/(x + 10)
Together rate = 1/50
Hence,
1/x + 1/(x + 10) = 1 / 50
((x + 10) + x) / x(x + 10) = 1/ 50
(2x + 10)/ x² + 10x = 1/50
50(2x + 10) = x² + 10x
100x + 500 = x² + 10x
x² + 10x - 100x - 500 = 0
x² - 90x - 500 = 0
Using the quadratic equation solver :
x = 95.24 ; x = - 5.24
Time can't be negative
Hence, x = 95 (nearest minute)
It takes Aanya 95 minutes Alone a ND
Krishna (95 + 10) = 105 minutes alone
The original prize: 14.649
New prize: 23.609
(the years here are not relevant, just to confuse you with more numbers)
the increase is 23.609-14.649=8.960
If we want to know the percentage, we need to know what percentage of the original prize is 8.960.
this is calculated like this:
ti make it into percentage, we multiply by 100%: 61.164%