find the angle between the following pairs of lines x^2+6xy +9y^2-4x +12y-5 =0​

Answers

Answer 1

Answer:

x

2

+6xy+9y

2

+4x+12y−5=0

Step-by-step explanation:

x

2

+6xy+9y

2

+4x+12y−5=0

Comparing the equation with the general equation of second degree gives

a=1,b=9,h=3,g=2,f=6,c=−5

Angle between a pair of straight lines that is tanθ=

 

a+b

2

h

2

−ab

 

tanθ=

 

1+9

2

9−1×9

 

=

9

0

tanθ=0

⇒θ=tan

(0)=0

Angle between the pair of straight lines is zero therefore the lines are parallel.

Hence proved

Answer 2

Angle between the pair of straight lines is zero therefore the lines are parallel.

What is parallel lines?

Parallel lines can be defined as two lines in the same plane that their angle of inclidation is equal and never meet.

Given,

x²+6xy+9y²-4x+12y-5=0

Comparing the equation with the general equation of 2nd degree

ax² + ay² + 2gx + 2fy + c = 0

so a=1, b=9, h= 3, g=-2, f=6, c=5

Angle between a pair of straight lines that is

tan∅=[tex]\frac{2\sqrt{h^{2} -ab} }{a+b}[/tex]

tan∅=[tex]\frac{2\sqrt{3^{2} -(1)(9)} }{1+9}[/tex]

tan∅=0°

∅=0°

Hence Angle between the pair of straight lines is zero therefore the lines are parallel.

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Related Questions

idk how to do this ​

Answers

The first number is the X value the second is the Y (X,Y) so for the first one -4 would go under the X and the other under the Y. The other question are like this

I need help I’m give the most points if u help

Answers

B- you can't divide by 0

Need help

Find the mode in this frequency distribution.


Number | Frequency

61 | 12

62 | 3

63 | 11

64 | 21

65 | 10

66 | 3

Answers

Answer:

64

Step-by-step explanation:

the frequency of 64 is 21 which is the highest frequency presented making it the mode. 64 is the mode

Ernie wants to be a teacher but does not want work in a school. What should Ernie probably do?

Answers

Answer: She could start a you tube channel and teach there u get way more money anyways. one of my history teachers teachs in a school and has a you tube channel.

Step-by-step explanation:

Answer:

well first

why does ernie want be a teacher in the first place if one of the main aspects of it is dealing with kids?

it also depends on what subject he'd want to teach

if he doesnt want to physically be in a school he can just do online teaching yk

Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x. What is the missing step in solving the inequality 5 – 8x < 2x + 3? Add 2x to both sides of the inequality. Subtract 8x from both sides of the inequality. Subtract 2x from both sides of the inequality. Add 8x to both sides of the inequality.

Answers

Answer:

the answer is d add 8x to both sides

Step-by-step explanation:

The missing step in step 2 is to add 8x to both sides of the inequality.

What is inequality?

An inequality shows the relationship between two mathematical expressions which is denoted by the inequality signs such as (<, >, ≤, ≥).

The inequality given is expressed as:

5 - 8x < 2x + 3

Step 1 says to minus 3 from both sides.

5 - 8x - 3 < 2x + 3 - 3

2 - 8x  < 2x

We are required to determine what to do in step 2.

So, we need to add + 8x to both sides, in order to eradicate the variable (8x) from the left-hand side.

i.e.

2 - 8x + 8x < 2x + 8x

2 < 10x

In step 3, we divide both sides by the coefficient of x.

i.e.

[tex]\mathbf{\dfrac{2}{10} < \dfrac{10x}{10}}[/tex]

[tex]\mathbf{0.2 < x}[/tex]

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write in slope intercept form (-1,3) (1,-2)

Answers

Answer:

y = 5/2x + 1/2

Step-by-step explanation:

Find the slope with the formula [ y2-y1/x2-x1 ].

-2-3/1-(-1)

-5/2

undefined

Find the y-intercept using the formula for slope-intercept form [ y = mx + b ]

y = -5/2x + b

3 = -5/2(-1) + b

3 = 5/2 + b

1/2 = b

Put everything we solved for into its final form.

y = 5/2x + 1/2

Best of Luck!

Answer:

y = -2.5x + 0.5

Step-by-step explanation:

First we must find the slope.

To do so we will use this formula:

y2 - y1 / x2 - x1

Substitute with (-1, 3) and (1, -2)

-2 - 3 / 1 + 1

-5/2

-2.5 is our slope.

Now to put this into slope-intercept form we will use Point-slope formula.

y - y1 = m(x - x1)

substitute using the ordered pair, (-1, 3):

y - 3 = -2.5(x + 1)

Distribute:

y - 3 = -2.5x + -2.5

Add 3 to both sides:

y = -2.5 + 0.5

Double check by using the other ordered pair.

(1, -2)

y + 2 = -2.5(x - 1)

Distribute:

y + 2 = -2.5x - 2.5

Add 2 to both sides:

y = -2.5x + 0.5

(-1, 3) and (1, -2) written in slope intercept form is:

y = -2.5x + 0.5

Point D is located at (7,1). What are the coordinates of Point D after a Vertical Stretch of 3?

Answers

Answer:

since it got stretched by 3 it's 4

The answer to that is the 4 one ?

()) How do you write 250% as a fraction or mixed number? I really need help plz ​

Answers

Step-by-step explanation:

250% = 250/100 = 25/10 = 2 1/2

Topic: Conversion between fraction and percentage

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

7. Bobby wants to check if (4,2) is on the line y = 5x - 18. Lisa also wants to check if (3,-3) is on the
same
line. Show your work, and write a statement (sentence) about who's point is on the line. (8 pts)

Answers

Answer:

Both Bobby's and Lisa's points are on the line.

Step-by-step explanation:

You just have to plug the points into the equation.

Bobby:

(4,2)

2 = 5(4) - 18

2 = 20 - 18

2 = 2

Lisa:

(3,-3)

-3 = 5(3) - 18

-3 = 15 - 18

-3 = -3

So they both are correct.

If you read 4/9 of a page in 3/5 minutes what’s your unit rate page per minute

Answers

Answer:

12/45

Step-by-step explanation:

The unit rate is 12/45, because 4 times 3 is 12, and 9 times 5 is 45.

If 4.37 is the total time and 120ft is the total distance whats the average speed

Answers

Answer:

27.46 ft per minute

Step-by-step explanation:

120 ÷ 4.37 = 27.46 (rounded to 27.46)

s1 = 20, s1 = 15, s1 = 9, and s1 = 6 what is the sum of the balance column

Answers

The answer I got was 50

Answer:

51

Step-by-step explanation:

write an equation using the following numbers in the chart in point slope form

Answers

Answer:

A

Step-by-step explanation:

u/4 + 12 =18
worth 10 points

Answers

Answer:

u = 24

Step-by-step explanation:

[tex]\frac{u}{4}[/tex] + 12 = 18

   -12    -12

[tex]4*\frac{u}{4}[/tex] = 6*4

u = 24

Answer:

u = 24

Step-by-step explanation:

Original Equation:

u/4 + 12 = 18

Subtract 12 from both sides

u/4 = 6

To separate the u from the 4, multiply both sides by 4

u = 24

Hope this helps :)

Question 5: CONSUMER MATH

Answers

Answer:aaaaa

AAAA

Step-by-step explanation:

CAN SOMEONE PLEASE HELP I WILL GIVE BRAINLIEST TO HOWEVER ANSWERS FIRST!!


Write an equation in point-slope form of the line that passes through the point (7,-5)with slope -1/7. Fill in the blanks.

y-|_|=|_|(x-|_|)

Answers

Answer: y+5= -1/7(x-7)

At bargain store. Tanya bought 3 items each cost same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?

Answers

Answer:

$4.30

Step-by-step explanation:

2.25 + 2.25= 4.30

Is 20/15 and 4/3 equivalent

Answers

Answer:

Yes, they are equivalent.

Step-by-step explanation:

20 divided by 15 = 1.333333...

4 divided by 3 = 1.333333...

Solve 0.25x + 7 = 1/5 x -8

Answers

Answer:

x= -300

Step-by-step explanation:

0.25x+7 = 1/5x-8

convert the decimal into a fraction

1/4x+7 = 1/5x-8

1/4x+7+8 = 1/5x

1/4+15 = 1/5x

multiply both sides of the equation by 20

1/4x(20)+15(20) = 1/5x(20)

5x+300 = 4x

5x-4x+300 = 0

x+300 = 0

x = -300

What is the value of x in the solution to the system of equations below?
2x + y = 5
-3x - 5y = 3

Answers

Answer:

the answer is y=−3x5−35y=-3x5-35

y=−2x+5y=-2x+5

hope this helps :)

Which steps are included in using integer tiles to evaluate –8 ÷ 2? Check all that apply.

Answers

Answer:  -4

Step-by-step explanation:

- + - = +

+ (+) += -

- (+) + = -      

Answer:

a,d,e

Step-by-step explanation:

sorry if im wrong :(

_ Is –7 + 9 positive or negative

Answers

Answer:

Positive 2

Step-by-step explanation:

its like ur subtracting 9+ (-7)

its basically 9-7=2

but not all problems r like this.

Brainlest plz

if a pair of standard dice are rolled what is the probability that the sum will be less that 5

Answers

Answer:

1/6

Step-by-step explanation:

Acellus sux

The probability of the pair of standard dice to be rolled and for their sum to be less than 5 is [tex]\frac{1}{6}[/tex]

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

According to the given problem,

The possible rolls can be represented by ordered pairs,

Where the first entry is the outcome of one die and the second is the outcome of the other.

(1 and 1) , (1 and 2) ,…….,(1 and 6), (2 and 1), (2 and 2),.......,(2 and 6),.....,(6 and 1) ,(6 and 2),....,(6 and 6).

There are 36 possible outcomes when two dice are rolled.

Pairs having sum less than 5: (1 and 1) ,(1 and 2) , (1 and 3) , (2 and 1) , (2 and 2), (3 and 1).

The probability that the sum is less than 5 = [tex]\frac{6}{36}[/tex]

                                                                       = [tex]\frac{1}{6}[/tex]

Hence, we can conclude, there is a probability of  [tex]\frac{1}{6}[/tex] for the standard dice to be rolled and for their sum to be less than 5.

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Help!!! Need help. I can’t fail this!! 2222

Answers

Answer:

c

Step-by-step explanation: because the one on the bottom is smaller than the other

Simple. It’s the first one.

what is 51 x 98 -(45 + 6)

Answers

Answer:

4,947

Step-by-step explanation:

Answer: 4,947

Step-by-step explanation:

Calculator :)))))





Find the slope using the table!

Answers

Answer:

5/2 is the slope or 2.5

Step-by-step explanation:

you take two points and do rise over run to get the slope, Hope this helped.

-4*7=
Please hel p...................

Answers

Answer:

-28

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

Change 95.61 to degrees, minutes, and seconds.

a.95° 43´ 44´´
c.95' 36´ 36´´
b.95° 41´ 43´´
d.95° 44´ 60´´

Answers

The answers are 95 36 36

Answer:

95 ° 36 ′ 36 ′′

Step-by-step explanation:

To convert 95.61 into degrees, minutes and seconds, you'll have to leave the whole units of degrees alone. You have to multiply the decimal by 60. The whole number becomes the minutes.

Then, you multiply 0.61 by 60, in which you get 36.6.

Take the remaining decimal and multiply by  60  and take the whole number portion to find the seconds.

Multiply 0.6 by 60. You get 36.

And lastly, Take the three sets of whole numbers and combine them, using the symbols for degrees ( ° )  , minutes  ( ′ ) , and seconds  ( ′′ ) .

This is how you get 95 ° 36 ′ 36 ′′.

find the value of
g(−2) if g(x)=x3−x

Answers

[tex]g(x)=x^3-x\\g(-2)=(-2)^3-(-2)\\g(-2)=-8+2\\g(-2)=-6[/tex]

Therefore, g(-2) = -6

Basically substitute x = -2 in the equation.

All of the information needed is in the pictures please help..

Answers

Answer:

Phone B

Step-by-step explanation:

It is around the same cost as Phone C, but has unlimited data (which means unlimited gigs)

Answer:

B

Step-by-step explanation:

Charge of 9 gigs for A

find slope:

125 - 95/5 - 3 = 30/2 = $15/month

use point slope form with point (3,95) and slope 15:

y - y1 = m(x - x1)

y - 95 = 15(x - 3)

y - 95 = 15x - 45

 + 95           +95

y = 15x + 50

put 9 for x, gigs, in the new equation:

y = 15(9) + 50

y = 135 + 50

y = 185

$185 for opt A

Charge of 9 gigs for B

slope = 0

there is the fee of 150 so the equation is:

y = 0x + 150

Next find the price for 9 gigs

y = 9(0) + 150

y = 150

$150 for opt B

Charge of 9 gigs for C

use graph and the cost is about $157

A: $185

B: $150

C: $157

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