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1 year ago

A parabola can be drawn given a focus of

Mathematics

1 answer:

grigory [225]1 year ago

4 0

The equation of parabola is y = -8(x -3)² - 9.

<h3>Define parabola.</h3>

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

Given Data

Focus = (3, -9)

Directrix: y = -5

The focus-passing line has an equation of x = -5 that is perpendicular to the directrix. The symmetry line of a parabola is seen here.

The parameter of the parabola is the separation between the focus and the directrix, so

p = -9 - 3

p = -12

p = 12

The distance between the focus and the directrix is divided into two equal portions by the parabola's vertex, which is located on the line of symmetry. Its coordinates are as follows: (3,-9).

Since a parabola moves in the opposite direction of y, its equation is

y -(-9) = -2(4(x -3)²)

y + 9 = -8(x-3)²

y = -8(x -3)² - 9

The equation of parabola is y = -8(x -3)² - 9.

To learn more about parabola, visit:

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I don’t understand can someone help me

Elden [556K]

You set 49 equal to 8x - 15

So

8x - 15 = 49
+15 + 15

8x = 64

Then divide by 8

X= 8

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3 years ago

If you spin the spinner 12 times, what is the best prediction possible for the number of times it will land on pink?

Norma-Jean [14]

2/3 if that’s the question

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3 years ago

Square root of 50 long division form

Alexandra [31]

Answer:

see below

Step-by-step explanation:

The attached picture shows the calculation of the first several digits of the square root of 50.

To start with, you group digits of the number in pairs. Here, there is one pair of digits left of the decimal point, so the integer portion of the root will have one digit.

For that first digit, you want the largest integer whose square is smaller than the leftmost digit pair. Here that pair is 50, so the largest square less than this is 7² = 49 and the first root digit is 7. We subtract this square and append the next digit pair to the result.

At this stage, and each succeeding stage, we double the root value to use as the divisor of the "dividend" we just found. The least-significant digit of this "divisor" will be the next root digit. We will subtract the product of that root digit and the "divisor" from the "dividend" to form the left digits of the next dividend. I have shown the appended root digit in red.

You can see that as the number of root digits grows, so does the number of digits in the divisor. This makes it be somewhat tedious to continue the process beyond about 8 or 9 digits.

Each step adds one digit to the root.

_____

<em>Comment on an alternate root-finding method</em>

You can compare this to the Babylonian method, where the next root guess is the average of the previous one and the square divided by that previous guess. For a square of 50 and a first guess of 7, the root estimates are ...

(50/7 +7)/2 = 7 1/14

(50/(7 1/14) +7 1/14)/2 = 7 197/2772 ≈ 7.07106782

This value is correct to 8 significant digits and took a lot less work. Each step will double the number of accurate significant digits.

3 0

3 years ago

Westkost [7]

Answer: a

Step-by-step explanation:

5 0

3 years ago

I need the answer to these, to be right, and you got to show the work on how you got the answer because if not I’ll get them wro

alexira [117]

A: $\frac{5}{3} = \frac{N}{12}$
Multiply both sides by 12
Answer: $N = 20$

B: $\frac{7}{2} = \frac{42}{N}$
Multiply both sides by 2, $7 = \frac{84}{N}$
Multiply both sides by N, $7N = 84$
Divide both sides by 7,
Answer: $N=12$

C: $\frac{N}{2}= \frac{50}{N}$
Multiply both sides by 2, $N = \frac{100}{N}$
Multiply both sides by N, $N^{2} = 100$
Simplify,
Answer: $N = 10 , -10$

Hope I helped you!

4 0

3 years ago

Read 2 more answers