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2 years ago

How can the equation of a parabola be derived when given the focus and the directrix

1 answer:

7 0

If the focus of a parabola is and the directrix is , find theequation of the parabola. Let ( x 0 , y 0 ) be any point on theparabola. Find the distance between ( x 0 , y 0 ) and the focus. Then find the distance between ( x 0 , y 0 ) and directrix.

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Is this an example of a horizontal asymptote?

8_murik_8 [283]

Answer:

Step-by-step explanation:

Hi there,

The graph indicated is showing a horizontal asymptote. In fact, it is showing both a horizontal and a vertical asymptote.

To tell which type it is, notice where the graph "shoots off" and almost forms an imaginary straight line in one direction. Using this logic, the horizontal asymptote will be exactly horizontal, parallel to x-axis, and vertical asymptote will be exactly vertical, parallel to y-axis.

With this graph, we notice the horizontal asymptote is at y=0, where the x-axis is. The vertical asymptote is bit more difficult to determine graphically, but can definitely say it is past x=-10. We could determine it if we had the function, but that is not necessary for this question.

Study well, and persevere. If you liked this solution, leave a Thanks or give a rating!

thanks,

6 0

3 years ago

- 16 to the power of -3/4

vekshin1

The answer to -16^-3/4 is -8

3 0

2 years ago

Can someone please help me solve these two problems and explain them to me? About the one with proportions though... I've always

NeTakaya

Answers:

A) $-\frac{11}{4}$

C) $m_{1}=\frac{Fr^{2}}{G m_{2}}$

Step-by-step explanation:

Part 1:

We have the followig equation:

$\frac{x-1}{3}-\frac{x+4}{5}=\frac{4x-1}{8}$

Calculating the least common multiple (l.c.m) in the denominator in the left side of the equation, being l.c.m=15:

$\frac{5(x-1)-3(x+4)}{15}=\frac{4x-1}{8}$

Solving for the left part of the equation:

$\frac{2x-17}{15}=\frac{4x-1}{8}$

Operating with cross product:

$8(2x-17)=15(4x-1)$

Applying the distributive property:

$16x-136=60x-15$

Isolating $x$ :

$x=-\frac{121}{44}$

Dividing numerator and denominator by 11:

$x=-\frac{11}{4}$ Hence, the correct option is A

Part 2:

We have the followig equation:

$F=\frac{G m_{1} m_{2}}{r^{2}}$

Operating with cross product:

$Fr^{2}=G m_{1} m_{2}$

Isolating $m_{1}$ :

$m_{1}=\frac{Fr^{2}}{G m_{2}}$ Hence, the correct option is C

5 0

3 years ago

According to Okun's law, if output grew 7% and full-employment output rose 5%, what would be the change in the unemployment rate

skad [1K]

Answer:

the change would be 2% of course

3 0

2 years ago

Ryan has 8 kittens. Two are white. What fraction of the kittens are not white? Write in simplest from.

maxonik [38]

Number of kittens Ryan has = 8

Number of white kittens = 2

Number of not white kittens = 8 -2 = 6

Fraction of number of not white kittens = 6/8

To write the fraction in lowest form find the greatest common factor of numerator and the denominator. Divide the numerator and the denominator by the greatest common factor .

Now the greatest common factor of 6 and 8 is 2.

$\frac{6}{8}$ = $\frac{6\div 2}{8\div 2}$ = $\frac{3}{4}$

4 0

2 years ago

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