Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7.

Answers

Answer 1

Answer:

Answer: The equation of the parabola is (x+5)^2=-24(y-1)(x+5)

2

=−24(y−1) .


Related Questions

En una tienda de videojuegos venden, por la mañana, las 3/4 partes de los que tenían. Por la tarde vendieron 4/5 de los que le quedaban. Cuando cerró la tienda quedaron 200 videojuegos sin vender, ¿cuántos había al principio?, ¿cuántos vendieron por la tarde?

Answers

al principio había 10

y se vendieron por la tarde150

Great Falls is at approximately 47.5 degrees N, and 111.3 degrees W. Lemhi is approximately 45.5 degrees N, and 113.5 degrees W. (We will assume the rivers flow straight from Great Falls to Lemhi on the surface of Earth). Apply the Law of Cosines for Sides of a spherical triangle to find the angle between Great Falls and Lemhi.

Answers

Answer:

The angle between Great Falls and Lemhi is approximately 3.02°

Step-by-step explanation:

The location parameters are;

The Great Falls location = 47.5° N, 111.3° W

The location of Lemhi = 45.5 °N and 113.5 °W

Therefore, we have;

The angle between the Great Falls and the poles, AP = 90° - 47.5° = 42.5°

The angle between Lemhi and the poles, PB = 90° - 45.5° = 44.5°

The angle between the lines of longitude, P = 113.5° - 113° = 0.5°

By the law of cosines for Sides of a spherical triangle, we have;

CosAB = cos AP·cosPB + sinAP·sinPB·cosP

Where;

AB = The angle between Great Falls and Lemhi

∴ CosAB = cos(47.5°) × cos(44.5°) + sin(47.5°) × sin(44.5°) × cos(0.5°) ≈ 0.9986

AB ≈ arccos(0.9986) ≈ 3.02°

The angle between Great Falls and Lemhi ≈ 3.02°

what is the answer (31-19)×2+10​

Answers

we want to follow PEMDAS
we will start with parentheses
31-19 = 12
So now we have 12 x 2 + 10
We then want to multiply
12 x 2 = 24
So now we have 24 + 10
24 + 10
So our final answer is 34
31-19=12 12x2=24 24+10 = 34 . remember pemdas

What type of auto coverage is required by nearly every state in the country?

Answers

Answer: Minimum car insurance limits in each state

Step-by-step explanation: With the exception of Florida, every state requires bodily injury liability insurance (BI), while all 50 states plus Washington, D.C., require property damage liability (PD). Roughly half of the states require a type of uninsured/underinsured motorist insurance (UIM). hope this helps. Can u give me brainliest

Explain why the absolute value function y = |x| is an example of a piecewise function

Answers

Because this requires two different processes or pieces, the absolute value function is an example of a piecewise function. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.

There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. You choose a marble, REPLACE it, and choose another. Find each probability
PLEASE HELP IM STRUGGLING
7) P (green and black) __
8) P (green, red) __
9) P (red, red) __

Answers

Answer:

Step-by-step explanation:

prob blue = 3/12 = 1/4

since you are replacing ,

prob(blue, blue) = (1/4)(1/4) = 1/16

What the person above me said

what does the 50th term of this arithmetic sequence: 29,32,35,38

Answers

Answer:

176

Step-by-step explanation:

First term (a) = 29

Common difference (d) = 32 - 29 = 3

For calculating the 50th term , n = 50

Now

[tex]t_{50} = a + ( n - 1) d\\t_{50} = 29 + ( 50 - 1 ) *3\\ t_{50} = 29 + 147\\t_{50} = 176[/tex]

hope it will help :)

a school is having a competition to see who can read the most books in one month (30 days). In the first 5 days, Jake reads 4 books. Meanwhile, Amy reads 5 books over 6 days. If they continue at these rates, who will win? By how many books?

Answers

Answer:

Amy will win

Step-by-step explanation:

Jake

4 books ⇔ 5 days

x books ⇔ 30 days

5x = 4*30x = 120/5x = 24 books

Amy

5 books ⇔ 6 days

x books ⇔ 30 days

6x = 5*30x = 150/6x = 25 books

Amy will win by 25 - 24 = 1 book

I need help with this problem​

Answers

The answer to the equation is 15

Help I cannot figure this question out.

Answers

Answer:

B. x = -1 ± i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Standard Form: ax² + bx + c = 0FactoringQuadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Algebra II

Imaginary Numbers: √-1 = i

Step-by-step explanation:

Step 1: Define

x² + 2x = -2

Step 2: Identify Variables

Rewrite Quadratic in Standard Form [Addition Property of Equality]:        x² + 2x + 2 = 0Break up Quadratic:                                                                                        a = 1, b = 2, c = 2

Step 3: Solve for x

Substitute in variables [Quadratic Formula]:                                                [tex]\displaystyle x=\frac{-2 \pm \sqrt{2^2-4(1)(2)}}{2(1)}[/tex][√Radical] Evaluate exponents:                                                                     [tex]\displaystyle x=\frac{-2 \pm \sqrt{4-4(1)(2)}}{2(1)}[/tex]Multiply:                                                                                                           [tex]\displaystyle x=\frac{-2 \pm \sqrt{4-8}}{2}[/tex][√Radical] Subtract:                                                                                        [tex]\displaystyle x=\frac{-2 \pm \sqrt{-4}}{2}[/tex][√Radical] Factor:                                                                                        [tex]\displaystyle x=\frac{-2 \pm \sqrt{-1}\sqrt{4}}{2}[/tex][√Radicals] Simplify:                                                                                       [tex]\displaystyle x=\frac{-2 \pm 2i}{2}[/tex]Factor:                                                                                                             [tex]\displaystyle x=\frac{2(-1 \pm i)}{2}[/tex]Divide:                                                                                                             [tex]\displaystyle x = -1 \pm i[/tex]

What percent of 74 is 13.6? Write your answer to the nearest tenth.

Answers

Answer:

18.37 is the answer so it should be 18.4

Step-by-step explanation:

what is the ratio of 7:21:35?​

Answers

Answer:

49

Step-by-step explanation:

49 because 14 is added everytime

9,15,21 because 6 is added everytime

Hope it helps!

Mark my answer as brainliest!!

Heather is a software saleswoman. her base salary is 1900, and she makes an additional $40 for every copy of math is fun she sells.
let P represent her total pay (in dollars) and N represent the number of copies of math is fun she sells. write and equation relating P to N and use this equation to find her total pay if she sells 27 copies of math is fun. ​

Answers

Answer:

[tex]P = 1900 + 40N[/tex]

[tex]P = 2980[/tex] when N = 27

Step-by-step explanation:

Given

[tex]Base\ Salary = 1900[/tex]

[tex]Additional = 40[/tex] per copy

Solving (a): Her total pay (P)

This is represented by:

[tex]P = Base\ Salary + Additional * N[/tex]

[tex]P = 1900 + 40 * N[/tex]

[tex]P = 1900 + 40N[/tex]

Solving (b): Total pay when N = 27

Substitute 27 for N

[tex]P = 1900 + 40 * 27[/tex]

[tex]P = 1900 + 1080[/tex]

[tex]P = 2980[/tex]

Contamination problems in semiconductor manufacturing can result in a functional defect, a minor defect, or no defect in the final product. Suppose that, 20, 50 and 30% of the contamination problems result functional, minor and no defects respectively. Assume that the effects of 10 contamination problems are independent. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that the 10 contamination problems result in two functional defects and five minor defects

Answers

Answer:

The answer is "[tex]8.5\times 10^{-9}[/tex]".

Step-by-step explanation:

Following are the calculation of the multinomial distribution probability:

[tex]\to (\frac{10!}{(2! \times 5! \times 3!)})\times(0.2)^2 \times(0.5)^5 \times (0.3)^3 \\\\ \to (\frac{10!}{(2! \times 5! \times 3!)})\times 0.04 \times 0.03125 \times 0.027\\\\ \to (\frac{10\times9\times8 \times7 \times6 \times5! }{(2! \times 5! \times 3!)})\times 3.37 \times 10^{-5}\\\\ \to (\frac{10\times9\times8 \times7 \times6 }{(2 \times 1 \times 3 \times 2 \times 1 )})\times 3.37 \times 10^{-5}\\\\[/tex]

[tex]\to (\frac{10\times9\times8 \times7 }{(2)})\times 3.37 \times 10^{-5}\\\\ \to (5 \times 9 \times 8 \times 7 )\times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 2520 \times 3.37 \times 10^{-5}\\\\\to 8492.4 \times 10^{-5}\\\\\to 8.4924\times 10^{-9}\\\\ \to 8.5\times 10^{-9}[/tex]

Add.
(6p + 5) + (2p + 7)

Answers

Answer:

=8p+12

Step-by-step explanation:

(6p+5)+(2p+7)

=6p+5+2p+7

=6p+2p+5+7

=8p+5+7

=8p+12

Answer:

8p + 12

Step-by-step explanation:

=> (6p + 5) + (2p + 7)

=> 6p +5 + 2p + 7

=> 8p + 12...ans

Adice is thrown once. Find the probability
of getting an even number .​

Answers

Answer:

50%

Step-by-step explanation:

There are 6 sides on a normal dice 2,4,6 are even numbers making it 3/6 or 1/2 of the numbers are even so there is a 50% chance an even number will be rolled.

Solve for x
x^2+ 6x + 9 = 12

Answers

Answer:

x=−3+2√3 or x=−3−2√3

Step-by-step explanation:

40.1 =
С C
+ 3.1
0.1

Answers

Answer:

1.876

because I said it was

The basketball coach spent $35 on 5 t shirts for his team last season. This season, he needs to purchase 7 t shirts. If he pays the same rate as last year, how much will the t shirts cost?

Answers

Answer:

5 dollars

Step-by-step explanation:

last year he got 5 they were 7 dollars because 7x5 is 35 so do the same thing to do other it also equals 35

ok so he bought 5 last season and spent 35 last time. we first need to find how many each was for last season. we can do this by dividing 35 and 5.

so 35/5

is 7

the next season he needs to have 7,

2 more then the prior season.

we now know each t shirt is the same price as last season it’ll be $7 each.

so you’d multiply 7x7 which is

$49

final answer: $49

hope this helps!

Find the equation of the line.
Use exact numbers,

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

Rise: 3   Run: 1

slope (m) = 3/1 = 3

y intercept (b) = 3

y = mx + b = 3x + 3

what would be the answer too 900ft2+ 144ft2???

Answers

Answer: 1044ft

Step-by-step explanation:

900ft2 + 144ft2

= 1044ft2 (square root)

1044ft

hope this helps :))

what would it be?...

Answers

Answer:

19 Dollars

Step-by-step explanation:

Discount means that a certain percentage of the price is being deducted from the final price. So, it this case, we first have to find 5% of 20. 5% of 20 is 1 because 20 * .05 is one. Then, we just have to deduct 1 dollar from 20 dollars, making it 19 dollars.

I really need help , Please help

Answers

Answer:

Step-by-step explanation:

Inpert

Anyone know how to do this?

Answers

Answer:

38

Step-by-step explanation:

Yes frist you add 3x+8+62 = 5x+50

Katrina bought a total of 18 donuts and cookies at the South Lyon Bakery and spent a total of $10.50. If each donut cost $0.75 and each cookie cost $0.50, how many of each did she buy? Define the variables Equations Solution

Answers

Katrina bought 6 cookies

Solve for x.
3
24
Will mark brainliest

Answers

It is A your welcome

Can someone help me solve this I don’t understand
-2y + 10 + 2y – 8

Answers

Answer:

2

Step-by-step explanation:

=−2y+10+2y+−8

=(−2y+2y)+(10+−8)

=2

On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred seventy-five were under 30 years of age. A total of 275 were under the influence of alcohol. Of the drivers under 30 years of age, 225 were under the influence of alcohol.
Let A be the event that a driver is under the influence of alcohol.
Let Y be the event that a driver is less than 30 years old.
1. Show the joint probability table.
2. Are A and Y mutually exclusive events? Explain.
3. Are A and Y independent events? Explain.

Answers

Answer:

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

No

No

Step-by-step explanation:

Given :

Sample, size n = 500

A = driver is under the influence of alcohol :

Y = driver is less than 30 years old

P(A) = 275 / 500 = 0.55

P(Y) = 375 / 500 = 0.75

P(AnY) = 225 / 500 = 0.45

P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

To determine if it is mutually exclusive : P(AnY) = 0

P(AnY) = 0.45 ; hence, it is not mutually exclusive

For A and Y to be independent ; P(A|Y) = P(A) ;

P(A|Y) = P(AnY) / P(Y)

P(A|Y) = 0.45 / 0.75 = 0.6

Hence, A and Y are not independent.

What is the area of the composite figure?
3 cm
7 cm
7 cm
o 54.25 cm2
o 49 cm?
70 cm
o 59.5 cm?

Answers

Answer: (D) 59.5

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky Smart.

The equation of a line that contains the points (2,1) and (3,2) is​

Answers

Answer:

1x - 1

Step-by-step explanation:

Find the slope.

y2 - y1/ x2 - x1               3-2/ 2 - 1 = 1

So far this is our equation: y = 1x + b; to find the y - intercept, plug in the original values. Simplify the equation

2 = 1(3) + b

2 = 3 + b

-1 = b

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