give me a complete and managed answer.​

Give Me A Complete And Managed Answer.

Answers

Answer 1

Answer:

Solution given:

The given equation of a line is

ax²+2hxy+by²=0

Let y=mx be any one line of

ax²+2hxy+by²=0

Let the perpendicular line of

y=mx is

x+my=0

According to the question the line x+my=0 is one line of Ax²+2Hxy +By²=0

Substituting value of y

Ax²+2Hx [tex] \frac{ - x}{m} [/tex]+[tex]B \frac{x²}{m²} [/tex]=0

Ax²-[tex] \frac{ 2H}{m}x² [/tex]+[tex]B \frac{x²}{m²} [/tex]=0

Taking LCM

we get

Ax²m²-2mHx²+Bx²=0

x²[Am²-2Hm+B]=0..............[1]

Again.

ax²+2hx(mx)+B(mx)²=0

ax²+2hmx²+Bm²x²=0

x²[a+2hm+Bm²]=0

bm²+2hn+a=0.....................[2]

Taking coefficient of equation 1 &2.

equation 1. b 2h a b 2h

equation 2.A. -2h B A -2H

Doing criss cross multiplication

ignore first coefficient and repeat first and second

again

lines are perpendicular so

[tex] \frac{m²}{2hB} [/tex]=[tex] \frac{m}{aA-bB} [/tex]=[tex]\frac{1}{-2Hb-2hA} [/tex]

Taking 1st & 2nd ratio,we get,

m=[tex] \frac{2hB+2Ha}{aA-bB} [/tex]....[*]

Taking 3rd & 2nd ratio,we get,

m=[tex] \frac{aA-bB}{-2Hb-2hA} [/tex] ....[#]

Again

Equating equation * &# we get;

[tex] \frac{2hB+2Ha}{aA-bB} [/tex]=[tex] \frac{aA-bB}{-2Hb-2hA} [/tex]

(aA-bB)²=-4(hB+Ha)(Hb+HA)

(aA-bB)²+4(hB+Ha)(Hb+HA)=0 is a required condition.


Related Questions

. If x = -1 and y = -2, what is the value of the expression 2x^2y - 3xy?

Answers

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

just plug in the numbers for each variable.

2(-1)^(2(-2)) - 3(-1)(-2) = 2 - 6 = -4

please help me thank you

Answers

Answer:

7.2 yds²

Step-by-step explanation:

6 × 1.2

7.2 yds²

Timed plz help meeee

Answers

i believe it's B
step by step

2.) Combine like terms and simplify the expression: 2x +
5y+ 7x
Your answer

Answers

Answer:

9x + 5y

Step-by-step explanation:

Here, in 2x + 5y+ 7x,   the 'like terms' are 2x and 7x, and the sum of these terms is 9x.  Thus, 2x + 5y+ 7x becomes 9x + 5y.

Josh has a rewards card for a movie theater.
• He receives 15 points for becoming a rewards card holder.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 55 points to earn a free movie ticket.
Which inequality can Josh use to determine x, the minimum number of visits he needs
to earn his first free movie ticket?

Answers

Answer:

He would need to visit a minimum of 12 times

Step-by-step explanation:

please help with this question

Answers

7/14
1/2
.5
50%
i’m not sure tho

Answer:

1/2

Step-by-step explanation:

P= 7/14

= 1/2

The probability of Pickup Truck is 1/2

Julie's recipe for lemonade made 2 quarts. What did she need to
multiply each ingredient by to make 8 gallons?​

Answers

Answer:

She needs 16 recipe to make 8 gallons

1) Simplify the product using the distributive property.
(x-2)(x+4)

Please help me answer this question

Answers

x^2 + 2x -8
Hope this helps :))

During a sale, a store offered a 40% discount on a bed that
originally sold for $790. After the sale, the discounted price of
the bed was marked up by 40%. What was the price of the bed
after the markup? Round to the nearest cent.

Answers

Answer:

790 is 100% you get 40% discount, the money you pay is: 790 time 40 divided by 100

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

Answers

Answer: B

Step-by-step explanation: Ez

please help, will award brainliest

Answers

Answer:

First one

Step-by-step explanation:

What is 9 + 10?
A. 21
B. 19
C. 12
D. 16

Answers

19

[tex] \mathtt \red{Hope \: it \: helps \: uhh..}[/tex]

answer = 19 Haha.......

Last year the depth of the river was 4.2 feet deep.

This year it dropped 5%.

Find the depth of the river this year to cross it.

Answers

Answer:

3.15 ツ

Step-by-step explanation:

Item 1
Use the figure to find the measures of the numbered angles.

Parallel lines a and b are intersected by a transversal t. Angle 1 and angle 99 degrees are supplementary angles. Angle 1 and angle 3 are vertical angles. Angle 2 and angle 99 degrees are vertical angles. Angle 99 degrees and angle 4 degrees are corresponding angles on the same side of the transversal. Angle 1 and angle 5 are corresponding angles on the other side of the transversal. Angle 5 and angle 7 are vertical angles. Angle 6 and angle 4 are vertical angles.

Answers

9514 1404 393

Answer:

  ∠1 = ∠3 = ∠5 = ∠7 = 81°

  ∠2 = ∠4 = ∠6 = 99°

Step-by-step explanation:

Vertical and corresponding angles are congruent. Angles 1 and 99° are supplementary, so ...

  ∠1 = 180° -99° = 81°

Then we have ...

  ∠1 = ∠3 = ∠5 = ∠7 = 81°

  ∠2 = ∠4 = ∠6 = 99°

Given the definitions of f (x) and g(x) below, find the value of f(g(-6)).
f(x) = x² – 2x +9
g(x) = -3x – 14

Answers

Answer:

17

Step-by-step explanation:

Find the slope of the line that passes through the points (-6,-2) and (-7,2)

Answers

Answer:

-4

Step-by-step explanation:

the steps are in the pic above

the cost of using broadband in a hotel is £30 per hour formula to work out this total this total cost is cost in pounds = 3× number of hours. Workout the total of using boardband for 2 hours and 5 hours​

Answers

Answer:

10

Step-by-step explanation:

Keisha had $54 when she went to a bookstore. She
had $12 left after buying some books. Which
equation can be used to find a, the amount Keisha
spent on books?
54 - a = 12
B
a - 54 = 12
a +54 = 12
12 + 54 = a

Answers

54 - a = 12 i believe
It will be a: 54-a=12
This is because she started with 54 and ended with 12. You need to keep a in the middle since that’s the amount you spent to end up at 12. Have a good day :)

There are 36 people camping at Max's family reunion. They are sleeping in tents. If 4 people can sleep in each tent, how many tents are at the campsite?​

Answers

9 because 4 times 9 =36

Plz help me well mark brainliest if correct!!...

Answers

Answer:

You should stick with option D

9f^2–10– 1+2f^2+ – 7f^2

(NO LINKS)
(LINKS WILL BE REPORTED)

Answers

Answer:

4f² - 11

Step-by-step explanation:

first group the like terms

9f²-2f²-7f² is all like terms

-10-1 are like terms

9f²-2f²-7f² -10-1

4f² - 11

Which of the following ratios is not 2:5

A. 40:100

B. 10:20

C. 16:40

D. 6:15

Answers

Answer:

Step-by-step explanation:

Option B is the correct answer

10 : 20

In its simplest form

1 : 2

Add 78, 139, and 14, and then divide by 44.
A numerical expression for the calculation is...?
Pls help mee!

Answers

Answer:

5.24, 21/4, or 5 and 1/4

Step-by-step explanation:

78+139+14 = 231

231/44 = 5.25

Or 21/4 (improper fraction)

Or 5 and 1/4 (mixed number)

I'm not exactly sure what you were asking I hope that helps!

Function Composition:
Let the function [tex]f(x)= 3x + 2[/tex] and [tex]g(x) = \frac{x+3}{2x-10}[/tex] , determine:

Answers

Answer:

Given

f(x) = 3x + 2g(x) = (x + 3) / (2x - 10)

#1

g · f(x) = g(f(x)) = (3x + 2 + 3)/ (2(3x + 2) - 10) = (3x + 5) / (6x - 6)

#2

f · g(x) = f(g(x)) = 3[(3x + 2) / (2x - 10)] + 2 = (9x + 6) / (2x - 10) + 2 = (9x + 6 + 4x - 20)/ (2x - 10) = (13x - 14) / (2x - 10)

h(x) = x^2+ 2x- 6
what’s the answer

Answers

It equals this graph expression. it's a little cropped, but I'm Sure you know about the y & x axis.

The sum of two numbers is 27. The larger of the two numbers is 7 less than triple the smaller number. Indicate the two numbers below.

Answers

Answer: 69

Step-by-step explanation: EZ

Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. The deli offers three luncheon chili specials, Wimpy, Dial 911, Fire Bowl. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes).
The profit on one serving of Wimpy is $0.6, on one serving of Dial 911 is $0.55, and on one serving of Fire Bowl is $0.65.
The following table shows the required ingredients to make one serving of each chili special, and the available amount of each ingredient for today :
Ingredient Required ingredient for each serving of Wimpy Required ingredient for each serving of Dial 911 Required ingredient for each serving of Fire Bowl Available Amount
Beef (lbs) 1 1 1.5 15
Onions (cup) 2 2 2 20
Special Sauce (oz) 5 2 3 90
Hot Sauce (oz) 0 5 6 60
Based on the historical sales data, Kilgore's Deli has the following considerations:
the number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
the number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
the available number of servings for Dial 911 must be at least 2.
(1.1) Develop the linear programming model to help determine the number of servings of Wimpy, Dial 911, and Fire Bowl to make in order to maximize his profit today. Type your algebraic formulation in the specified area in Q1 tab of the Excel template. Note you will not get full credits without including the algebraic formulation.
(1.2) Solve your LP model in Excel and fill in the following blanks (show your work in Q1 tab):
The optimal number of servings of Wimpy is
The optimal number of servings of Dial 911 is
The optimal number of servings of Fire Bowl is
The maximum possible profit is
Is there any leftover of ingredients as a result of this optimal solution? if yes, enter the amount. Otherwise, just type 0.
Amount of beef leftover
Amount of onion leftover
Amount of special sauce leftover
Amount of hot sauce leftover

Answers

Answer:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

Amount of beef leftover     2 lb

Amount of onions leftover   0

Amount of  Special Sauce leftover 61

Amount of Hot Sauce leftover   9

Step-by-step explanation:

Ingredients              Beef      Onions    Special S   Hot S      Profit  

Wimpy  (x₁)                   1              2                5              0             0.6

Dial 911 (x₂)                   1              2                2              5             0.55

Fire Bowl (x₃)                1.5           2                3              6             0.65

Available                       15            20             90             60        

Objective Function z:

z  =  0.6*x₁  +  0.55*x₂  +  0.65*x₃      to maximize

Subject to:

1) Quantity of beef : 15

x₁  +  x₂  + 1.5*x₃  ≤  15

2) Quantity of onions:  20

2*x₁  +  2*x₂  +  2*x₃  ≤  20

3) Quantity of Special sauce: 90

5*x₁  + 2*x₂  + 3*x₃  ≤  90

4) Quantity of hot sauce:  60

0*x₁   + 5*x₂  + 6*x₃  ≤  60

5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.

x₃  ≥  0.1 ( x₁  +  x₂   +  x₃ )     or    x₃    ≥   0.1*x₁  +  0.1 *x₂  + 0.1*x₃

x₃   -   0.1*x₁  -  0.1 *x₂  - 0.1*x₃   ≥  0

-   0.1*x₁  -  0.1 *x₂   +    0.9 *x₃   ≥  0

6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.

x₃  -  x₂  ≤  3

7)the available number of servings for Dial 911 must be at least 2.

x₂  ≥  2

General constraints:

x₁  ≥   0           x₃   ≥ 0    all integers

With on-line solver solution  is:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

By sbstitution on the constraints

1)   x₁  +  x₂  + 1.5*x₃  ≤  15               1 + 3 + 9  = 13

Amount of beef leftover     2 lb

2)  2*x₁  +  2*x₂  +  2*x₃  ≤  20          2 + 6  + 12 = 20

Amount of onions leftover   0

3) 5*x₁  + 2*x₂  + 3*x₃  ≤  90             5  + 6  + 18 = 29

Amount of  Special Sauce leftover 61

4)0*x₁   + 5*x₂  + 6*x₃  ≤  60             15  +  36  = 51

Amount of Hot Sauce leftover   9

How much larger is the volume of a triangular prism when you double the height of the prism?

Answers

9514 1404 393

Answer:

  2 times

Step-by-step explanation:

Other things remaining the same, the volume of any prism is proportional to its height. If you double the height, it is like having two prisms of the same size. The volume doubles. The new volume is 2 times the original volume.

What is the greatest common factor of 16, 36, and 28?

Answers

It’s gotta be 4 because 8 dosent go into 28 and 6 dosent go into 28

ANSWER ASAP DONT SEND A FILE WHATS THE RULE TRANSFORMATION FOR THIS DILATION ???

Answers

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

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