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Alecsey [184]
3 years ago
12

Fourteen and one eighth minus twelve and five ninths

Mathematics
1 answer:
Kruka [31]3 years ago
6 0

Answer:

1 and twenty thirty sixths

Step-by-step explanation:

14 1/8 - 12 5/9

1/8x4/4=4/36

1/8= 4/36

5/9x4/4= 20/36

14-12= 2

2-20/36= 1 20/36

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prohojiy [21]
The sketch of the parabola is attached below

We have the focus (a,b) = (2, -0.5)
The point P(x,y)
The directrix, c at y=-1.5

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; (2, -0.5) and (x,y).
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
\sqrt{ (x-a)^{2}+ (y-b)^{2} }

Step 2
Find the distance between the point P to the directrix c. It is a vertical distance between y and c, expressed as y-c

Step 3
The equation of parabola is then given as 
\sqrt{ (x-a)^{2}+ (y-b)^{2} }=y-c
(x-a)^{2}+ (y-b)^{2}= (y-c)^{2} ⇒ substituting a, b and c
(x-2)^{2}+ (y--0.5)^{2}  = (y--1.5)^{2}
(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}⇒Rearranging and making y the subject gives

y= \frac{ x^{2} }{2} -2x+1

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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1)11.78
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Effectus [21]

Answer:

See answer below

Step-by-step explanation:

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