How many points of intersection are there between the graphs of the hyperbola and ellipse?
3x2 – 4y2 + 4x – 8y +4= 0
3x2 + y2 + 4x – 3y +4= 0
A.0
B. 1
C. 3
D.4

Answers

Answer 1

The point of intersection is the point where two or more functions meet.

The graphs of the hyperbola and ellipse have 0 point of intersection

The given parameters are:

[tex]\mathbf{3x^2 - 4y^2 + 4x - 8y + 4 = 0}[/tex]

[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 0}[/tex]

To determine the points of intersection, we simply equate both equations.

So, we have:

[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 3x^2 - 4y^2 + 4x - 8y + 4 }[/tex]

Cancel out the common terms

[tex]\mathbf{y^2 - 3y = - 4y^2 - 8y }[/tex]

Collect like terms

[tex]\mathbf{y^2 +4y^2= 3y - 8y }[/tex]

[tex]\mathbf{5y^2= - 5y }[/tex]

Divide through by 5

[tex]\mathbf{y^2= - y}[/tex]

Divide through by y

[tex]\mathbf{y= -1}[/tex]

The system of equation does not give room to calculate the x-coordinate at the x-axis.

Hence, the graphs of the hyperbola and ellipse have 0 point of intersection

Read more about points of intersection at:

https://brainly.com/question/13373561

Answer 2

Answer: 0

Explanation: Took the test


Related Questions

I NEED HELP ASAP!!!!!!!!!!!

Answers

A statement is word so the sentences will be the words (I think)

Find the equation of the line that passes through (1,-2) and is parallel to y = 3x + 4.
Leave your answer in the form y = mx + c

Answers

Answer: y=3x-5

Step-by-step explanation: Find the slope of the original line. slope is m=3. Then use the point slope formula  [tex]y-y1=m(x-x1)[/tex] to find the line parallel to y=3x+4. Parallel lines have the same slope. so you substitute the given point (x1,y1)(1,-2) and slope m=3  into the point slope formula.

y-(-2)=3(x-1)  

y+2=3x-3  

y=3x-5

Calculate the angle subtended by an arc whose length is 89.5cm and radius 12cm​

Answers

Answer:

Step-by-step explanation:

angle at the center

[tex]\theta=\frac{l}{r}\\where~l=length~of~arc\\r=radius\\\theta=\frac{89.5}{12}~radians[/tex]

Hardest questions please help
Please

Answers

banalties for the second question i think!

Answer:

17. landmark

18. BANALITIES

Step-by-step explanation:

Please help me I really need your help ASAP

Answers

in order to find the answer to your questions you need to find the value

Example:

y+10=18

y=8

HELP IM ABOTH TO FAIL

Given the explicit rule, F(n) = 250 + 130(n-1), what is the 12th term?
Of(12)=-$1180
Of(12)= $1810
O f(12)= $1680
Of(12)=-$1050

Answers

Answer:

f(12) = 1680

Step-by-step explanation:

Substitute n = 12 into f(n) , that is

f(12) = 250 + 130(12 - 1) = 250 + 130(11) = 250 + 1430 = 1680

¿11/6 es mayor que 1? ¿por cuanto?

Answers

11/6 si es mayor que 1 y es mayor con

0.833333333

How can the decimal shown be written as a fraction?
0.4repeating. A.4/10 B.4/11. C.4/9. D.4/99

Answers

Answer:

The choice c) 4/9

I hope I helped you^_^

im pretty sure its A.

solve this equation x/8+4=12

Answers

Answer:

x=64

Step-by-step explanation:

x/8+4=12

x/8=12-4

=8

x=8×8

=64

17
3. Kenny can type 75 words in 3 minutes. What is the constant of
proportionality that relates the number of words, y, to the number of
minutes, x?

Answers

Answer:

25

Step-by-step explanation:

Let this relationship be:

y = kx, where y is the number of words in x minutes.

Use the given numbers to find the value of k:

75 = 3kk = 75/3k = 25

Help!! I’ll mark brainly list but explain

Answers

Answer:

See below, please.

Step-by-step explanation:

[tex] \frac{ {(4a - 3b)}^{3} }{c + 5} \\ \ \\ = \frac{ {(4 \times ( - 2) - 3 \times ( - 3))}^{3} }{3 + 5} \\ = \frac{ {(( - 8) - ( - 9))}^{3} }{8} \\ = \frac{ {( - 8 + 9)}^{3} }{8} \\ = \frac{ {1}^{3} }{8} \\ = \frac{1}{8} [/tex]

0.12222 as a fraction

Answers

x=0.12222

100x=12.2222
10x=1.2222
90x=11
x=11/90

0.12222=11/90

hola alguien para hablar estoy aburrida y me gustaría hablar con alguien

Answers

Answer:

i know english only

Step-by-step explanation:

sorry but you stupit you not good at englis

Antonio earned $55.30 mowing lawns. He wants to buy a skateboard that costs $87.95. How
much money does Antonio still need to buy the skateboard?

Answers

Answer:

he needs 32.65 so it would be B

Step-by-step explanation:

Answer: Antonio still needs $32.65

Step-by-step explanation:

The second choice b/c he (M) is the money he still needs and when you add the money he still needs with the money he already have then it would result the price of the skateboard.

Hope it helps!

in wildlife park, there were 18 gray wolves. after three years, there were 27 gray wolves. what is the percent gain?​

Answers

Answer:

50%

Step-by-step explanation:

The percent gain is calculated as

[tex]\frac{gain}{original}[/tex] × 100%

gain = 27 - 18 = 9 , then

percent gain = [tex]\frac{9}{18}[/tex] × 100% = [tex]\frac{1}{2}[/tex] × 100% = 50%

Given m∠14+m∠3=180° .

Which lines are parallel, if any must be parallel, based on the given information?


a∥b by the converse of the same-side interior angles theorem.

a∥b by the converse of the alternate interior angles theorem.

c∥d by the converse of the corresponding angles theorem.

Not enough information to make a conclusion.

Answers

Answer:

C) - a∥b by the converse of the corresponding angles theorem

explanation:

k12 test 100

Answer:

c

Step-by-step explanation:

Help me!! Multiply: 20w(w-18)

Answers

Answer:

2

0

(

1

8

)

20w(w-18)

20w(w−18)

Simplify

1

Distribute

2

0

(

1

8

)

{\color{#c92786}{20w(w-18)}}

20w(w−18)

2

0

2

3

6

0

{\color{#c92786}{20w^{2}-360w}}

20w2−360w

Solution

2

0

2

3

6

0

Step-by-step explanation:

Answer:

[tex]20w(w - 18) \\ 20w ^{2} - 360w \\ \\ \\ \\ \\ \\ \\ \\ \\ hope \: it \: helps \: \\ stay \: safe \: healthy \: and \: happy[/tex]

I need to finish this question very quickly and I’m confused, any help is greatly appreciated

Answers

Answer:

Step-by-step explanation:

a. sqrt(2x) = -x

b. (sqrt(2x))^2 = (-x)^2

2x = x^2

c. divide both sides by x. x = 2, 0

d. x = 2 does not satisfy the original equation, but x = 0 does.

If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?​

Answers

Answer:

See below

Step-by-step explanation:

This a form of the proportional relationship:

f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of items

We have:

f(5) = 12

It means:

Total cost of 5 cupcakes is $12

In f(x)

f(x) is total costx is total cupcakes

So in f(5)

5 cupcakes cost $12

which number is irrational

Answers

Answer:

Any real number that cannot be expressed as a ratio of two integers.

Step-by-step explanation:

OPTIONS R NOT HERE

HOPE IT HELP

Answer: i didn't get enough detail but you can use this to help

Step-by-step explanation:

Irrational numbers are the real numbers that cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers.  

Irrational numbers are expressed usually in the form of R\Q, where the backward slash symbol denotes ‘set minus’. it can also be expressed as R – Q, which states the difference between a set of real numbers and a set of rational numbers.

How can I make a division equation from this

Answers

Answer:

x over y , but you'll have to do y over x to get the answer .

PLEASE SOMEONE WHO IS SMART ANSWER THIS QUESTION

Answers

Answer:

36/32 or 1 1/8 (same thing)

Step-by-step explanation:

9 gallon / 32 quarts

First, you have to convert 9 gallon to quarts to match the denominator. In the table, it says that 1 gallon = 4 quarts, so you have to do, 9 x 4 which gives you 36. Now that the fraction is in the same form of units, 36 quarts / 32 quarts, you will have to write it as a mix fraction or you can just leave it as 36 quarts / 32 quarts. If you want it in mix fraction, it is 1 1/8.

Answer:

36

Step-by-step explanation:

1 gallon is 4 quart then the question is 1 to 9 quart then is 4 * 9 is 36

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form. 6 and 11

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeters of the similar figures have the same ratio as the sides.

ratio of perimeters = [tex]\frac{11}{6}[/tex]

ratio of areas = 11² : 6² , that is 121 : 36

ratio of areas = [tex]\frac{121}{36}[/tex]

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.

(anyone want to rp... )

Answers

Answer:

add 8x to both sides

Step-by-step explanation:

BRAINLIEST PLEASE !!

Answer:

Step 1: Subtract 3 from both sides of the inequality.

Step 2: Add 8x to both sides

Step 3: Divide both sides of the inequality by the coefficient of x.

Step-by-step explanation:

Step 1: 2 - 8x < 2x

Step 2: 2 < 10x

Step 3: 1/5 < x

I need help what is this?

Answers

Answer:f(x) is 6)×-3

Step-by-step explanation:i think i it will help

Pls help me with this question and explain thx!!

Answers

Answer: 50 pages (not sure) but I hope that still made sense though

Step-by-step explanation:

30% of 15 equals 50

15/30%=50

He needs to read 35 more pages. Multiply 30% by 3 that’s 90. 15 by 3 as well that’s 45. One-third of 30 is 10, 90+10 is 100%, one third of 15 is 5. Just add 45 and 5 and you get 50. Take away 15 for the amount of pages he already read, that’s 15

What is the GCF of 288 and 15? The problem is 288 over 15 as a fraction to simplify.

Answers

Answer:

3

Step-by-step explanation:

1.Прочитать первое действие комедии. Каковы экспозиция и завязка комедии? 2.Пронанализировать диалоги Чацкого и Софьи: поведение героев, их отношение друг к другу, характер высказываний.
3.Что вызывает осуждение Чацкого в нравах московского барства?ЛИТЕРАТУРА

Answers

21,473,862,095 in word from

The sum of ages of 3 siblings, Alice, Bruce and Chuck is 27. The sum of ages of Alice and Bruce is 14 and the sum of ages of Bruce and Chuck is 22. Find each sibling's age by using system of linear equations.​

Answers

Answer:

Alice = 5

Bruce = 9

Chuck = 13

Step-by-step explanation:

alice= x

Bruce = y

Chuck = z

x+y+z= 27

x+y= 14

therefore z= 27-14= 13

Chuck = 13

y+13 (z) = 22

therefore y = 22-13= 9

Bruce = 9

9+13= 22

therefore x= 27 - 22= 5

Alice = 5

confirmation

5 + 9 + 13 = 27

5+9= 14

9 + 13 = 22

Each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.

Given that,

The sum of ages of 3 siblings, Alice, Bruce, and Chuck is 27. The sum of ages of Alice and Bruce is 14 and the sum of ages of Bruce and Chuck is 22.Here we assume Alice be x, Bruce be y, and Chuck be z.

Based on the above information, the calculation is as follows:

x + y + z =  27

x + y =  14

So,

z =  27 - 14

= 13

i.e. Chuck = 13

Now  

y + 13 (z) = 22

So,

y = 22 - 13

= 9

i.e. Bruce = 9

Now

9+13= 22

So,

x = 27 - 22

= 5

i.e. Alice = 5

Therefore we can conclude that each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.

Learn more: brainly.com/question/17767374

Х у
2 3
5 9

What is the slope of the function?

Answers

The slope of function is Xy
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