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Elina [12.6K]
3 years ago
11

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

Mathematics
1 answer:
Annette [7]3 years ago
4 0
The distance between any point (x0,y0) on the parabola and the focus (m,n) is the same as the distance between (x0,y0) and the directrix line ax+by+c. The distance between (x0,y0) and focus (a,b) is \sqrt((x-m)^2+(y-n)^2). The distance between (x0,y0) and ax+by+c is |ax0+by0+c|/\sqrt(m^2+n^2).  Equalize these two expressions.
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The sum of three number is -44.85. One of the numbers is 24.6. The other two number are equal to each other. What is the value o
tiny-mole [99]
Let the number be x. The other number is also x.

Given the first number is 24.6 and sum is -44.85
24.6 + x + x = -44.85

Combine like terms:
2x + 24.6 = -44.85

Add 24.6 on both sides:
2x = -44.85 - 24.6

Evaluate Right Hand Side:
2x = -69.45

Divide both sides by 2:
x =- 34.725

Answer: The two numbers are both  -34.725.
7 0
3 years ago
Please help me with this for brainliest
lisov135 [29]

Answer:

-8x im pretty sure!!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Somebody explain pls!!!!!
Furkat [3]

Step-by-step explanation:

Using log properties

log_{7}(rz {}^{12} )

log_{7}(r)  +  log_{7}(z {}^{12} )

Then

log_{7}(r)  + 12 log_{7}(z)

Plug in the knowns

- 7.87 + 12( - 12.59)

- 158.95

5 0
9 months ago
Which of the following would be the most logical first step to solving this
Sauron [17]

Answer:

subtract 2 on both sides

5 0
2 years ago
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Use the boundedness theorem to determine whether the polynomial function satisfies the given condition. The polynomial f(x) = x4
7nadin3 [17]

Answer:

So f(x) has no real greater than 8. Step - by - step explanation is shown in the attachment.

Step-by-step explanation:

Let f ( x) be a polynomial with real coefficients and with a positive lending coefficient.

If f(x) is divided by x-c and

a) if c>0 and all number in the bottom row of the synthetic division are non negative , then f(x) has no zero greater than c.

b ) if c<0 and the number in the bottom row of the synthetic division alternate in sign  then f (x) has no zero less than c

As shown in the figure

Since the number in the bottom row of the synthetic division alternate in sign

So f(x) has no real greater than 8

6 0
3 years ago
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