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alekssr [168]
3 years ago
12

In a list of numbers, the pattern increases by 0.001 as you move to the right. If the third number in the list is 0.064, what is

the first number in the list? Explain how you know.
Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0
0.064 is the third number in the list

0.064 - 0.001, or 0.063 is the second number in the list

So, the first number in the list is 0.063 - 0.001, or 0.062
avanturin [10]3 years ago
3 0

The <em>correct answer</em> is:


The first number is 0.062.


Explanation:


Let x represent the first number in the list.


We add 0.001 to each number to find the next number; this gives us:

x + 0.001 + 0.001 = 0.064


Combining like terms, we have:

x + 0.002 = 0.064


Subtract 0.002 from each side:

x + 0.002 - 0.002 = 0.064 - 0.002

x = 0.062

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Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 4?
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Answer:

x2=−8(y−2)

Step-by-step explanation:

Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.

Let P(x,y) be the moving point on the parabola with  

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Now,  

|PS| = √(x-h)2 + (y-k)2

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|PS| = √ x2 + y2

Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0

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equation of parabola is:  

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Squaring on both sides, we get:  

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This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.

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