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ruslelena [56]
2 years ago
10

Are the ratios 2.5:3.5 and 5.7 proportional ?

Mathematics
1 answer:
romanna [79]2 years ago
3 0
Yes, they are proportional, as when you double 2.5, you get 5, and when you double 3.5, you get 7
Hope this helps :) 
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Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
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Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

2k=2

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Put this value in (1).

p=-6

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

(x+5)^2=-24(y-1)

Therefore, the equation of parabola is (x+5)^2=-24(y-1).

8 0
3 years ago
Read 2 more answers
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