Which graph represents the solution of x2 + 9y2 <81 and y2 + 2

Answers

Answer 1

Answer:

C on edge

Step-by-step explanation:

the guy above is correct

Answer 2

The graph that represents the given inequalities is required.

The required graph is attached.

The inequalities are

[tex]x^2+9y^2<81[/tex]

[tex]y^2+2<x[/tex]

Converting to general forms

Ellipse

[tex]\dfrac{x^2}{9^2}+\dfrac{9y^2}{9^2}<1\\\Rightarrow \dfrac{x^2}{9^2}+\dfrac{y^2}{3^2}<1[/tex]

So,

[tex]a=\pm9[/tex]

[tex]b=\pm3[/tex]

The vertices of the major axes are [tex](9,0)[/tex] and [tex](-9,0)[/tex]

The vertices of minor axes are [tex](0,3)[/tex] and [tex](0,-3)[/tex]

The center lies on the origin.

Since, the sign of the inequality is [tex]<[/tex] the shaded region will be inside the ellipse excluding the ellipse.

Parabola

[tex]x>1(y-0)^2+2[/tex]

So,

Vertex of parabola = [tex](2,0)[/tex]

Since, the square term is [tex]y^2[/tex] the axis of symmetry is the [tex]x[/tex] axis.

The parabola will open towards the positive x axis.

The shaded region is the area in the parabola excluding the parabola due to the [tex]>[/tex] sign.

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Which Graph Represents The Solution Of X2 + 9y2 &lt;81 And Y2 + 2

Related Questions

Use the relationships between the angles to find the value of . 75° 40 X 15 degrees​

Answers

Answer:

x = 65

Step-by-step explanation:

All angles in the triangle equal 180

Set up your formula as

180 = x+75+40

180-75-40=x

65=x

How do you write 0.000010 in scientific notation?

Answers

Answer:

1 × 10^(-5)

Step-by-step explanation:

The scientific notation of the given number is 1.0×10⁻⁵.

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

The given number is 0.000010.

Here, scientific notation is

1.0×10⁻⁵

Therefore, the scientific notation of the given number is 1.0×10⁻⁵.

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In a group of 24 people, 10 study
Physics, 15 study Chemistry and
18 study at least one subject.
Find the number of people who
do not study any of the subject.
Show steps pls

Answers

Answer:

n = 24

p(a) = 10/24

p(b) = 15/24

[ p(a) + p(b) - [p(a) ×p(b)] ] -1 = answer

[ 35/24 - 6/24 ] -1 = 39/24 - 24/24 = 5/24

Answer:   6

=================================================

Explanation:

There are 24 people total and 18 of them study at least one subject. So that must mean 24 - 18 = 6 people do not study any of the subjects mentioned.

The values of 10 and 15 aren't used at all.

Question 8 of 25
If a sample mean is 96, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (76, 108)
O B. (82, 114)
O C. (78, 110)
O D. (80, 112)

Answers

d makes the most sense

The correct range is (80, 112).

The correct option is (D).

What is mean?

Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.

As per the given data:

We are given the mean of the sample.

The mean of the sample = 96

In each option, a range is given.

We have to find out which is the correct range for the given mean.

For a range (a, b) the mean is given by:

mean = (a + b)/2

By using the above definition and checking all the options:

For (76, 108)

mean = (76 + 108)/2 = 92, Not the correct range

For (82, 114)

mean = (82 + 114)/2 = 98, Not the correct range

For (78, 110)

mean = (78 + 110)/2 = 94, Not the correct range

For (80, 112)

mean = (80 + 112)/2 = 96, The correct range

The correct range is (80, 112).

Hence, the correct range is (80, 112).

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How do I write the answer out in explanation form

Answers

The above answer is right

The value of all of the quarters and dimes in a parking meter is $6. There are twice as many quarters as dimes. What is the total number of dimes in the parking meter?

Answers

Answer:

5 brainliest?

Step-by-step explanation:

If L | | m and m<8 = 109°, what is m<5

Answers

Answer:

m∡5 = 71°

Step-by-step explanation:

m∡8 = m∡6

m∡6 + m∡5 = 180

180 - m∡6 = m∡5

180 - 109 = 71

Answer:

the measurement of angle 5 is 71

Step-by-step explanation:

m∡8 = m∡6

M∡6 + m∡5 = 180

180 - m∡6 = m∡5

180 - 109 = 71

Hope this helps :)

The expression (1.2045) models the interest charged for a student loan over time, t, in years. Which of the followilly
situation? Select all that apply.
The yearly interest rate is about 16%
The daily interest is about 0.04%
The yearly interest rate is about 116%
The monthly interest rate is about 1.2%
The daily interest rate is about 1.0004%

Answers

the answer is A i hope u got it right

Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108.

Answers

The question is incomplete. Kindly see the correct question below

Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108 Write an inequality that represents this

Answer:

9D +6C < 108

Step-by-step explanation:

Let the price of Dvd be D

Let the price of CDs be C

Hence the inequality can be represented as follows

9D + 6C < 108

Writing is not that easy...but grammarly can help! this sentence is grammatically correct, but it's wordy and hard to read :0

Answers

Answer:

wow 1555

Step-by-step explanation:

no no dont touch me there this is y uhbeyufbeb

Michael is writing an article for the school newspaper. He wants to know which subject (math, reading, science, history, or physical education)
is most liked. He is trying to decide who to survey.

Which population sample does NOT produce a biased result?

A. He asks the school’s teachers
B. He asks his friends after school
C. He asks the students in his math class
D. He asks students he meets in the hallways
E. He asks every fifth student arriving at school

Answers

Answer: E is the answer

Step-by-step explanation:

The population sample that does not produce a biased result is when he asks every fifth student arriving at school. The correct option is E.

What is a survey?

Surveys can be used to determine how representative each person's opinions and experiences are.

When conducted properly, surveys offer precise data about people's beliefs and actions that can be utilized to inform significant decisions.

A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities.

This guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.

Survey bias is when a question is worded or presented in a way that encourages individuals to select one response over another.

The same holds true if your queries are challenging for customers to comprehend and honestly answer.

As, when he asks every fifth student arriving at school, it can lead to an unbiased result.

Thus, the correct option is E.

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10.In Star School, the ratio of students who bring
lunch from home to those who buy it at tuck-shop
is 11:3. If 87 buy their lunch, how many students
are there at the school?​

Answers

Answer:

There are 406 students in the school

Step-by-step explanation:

Let the number of students in the school be x

The total ratio is 11 + 3 = 14

The ratio that buys lunch is represented by 3

So, we have it that;

3/14 * x = 87

3x = (14 * 87)

x = (14 * 87)/3

x = 406

Which expression represents the following algebraic statement?
Four times the difference of a number and 16.

Answers

4(x-16) because the difference means subtraction

56 students signed up to go on the class trip. If this is 70% of the class, how students are in class?

Answers

Answer:

80 is the answer I believe

Answer:

80. 56 students signed up to go on the class trip. If this is 70% of the class, how students are in class?

brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

Answers

Answer:

B

Step-by-step explanation:

Amanda does start with 30 homework questions

She does complete 3 questions every 2 minutes

After 10 minutes she has completed half of her questions

But she does not finish 2 questions every 3 minutes

hope this helps <3

Find the surface area of the figure below

Answers

Answer:

264

Step-by-step explanation:

15 times 6 equals 90

5 times 15 equals 75   75 times 2 equals 150

4 times 6 over 2 times 2 equals 24

A card is chosen at random from a standard deck of 52 playing cards. What is the probability that the card chosen is a queen?
A) 4
B) 1/13
C) 1/52
D) 3/52

Answers

Answer:

B) 1/13

Step-by-step explanation:

This is because as we all know there are four different category of cards - spades, clover, heart and diamond.

In each of these category we have 1 Queen so in total we have 4 Queens

Probability of choosing Queen = 4/52

= 1/13

(This is your answer hope it helps :))

The answer would be B because there are 4 queens in a deck of cards. with there being 52 cards in a deck, you divide 4 by 52. If you put that into a fraction it’s 4/52. simplified, its 1/13. therefore, there’s a 1/13 chance on getting a queen

Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.

Answers

Answer:

coupon A

Step-by-step explanation:

coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15

Can someone help me out my grads are bad

Answers

2880 square yards!! i’m pretty sure that’s the answer

I really really really need your help

Answers

1 2/3 divided by 5/6 = 2

MEAN #NIGHTMAREEEEEEEEEEEEEEEEEEE 50 POINTS FOR REAL

Answers

The following steps will show you how to calculate the sample mean of a data set:

Add up the sample items.

Divide sum by the number of samples.

The result is the mean.

Use the mean to find the variance.

Use the variance to find the standard deviation.

Answer:

The following steps will show you how to calculate the sample mean of a data set:

Add up the sample items.

Divide sum by the number of samples.

The result is the mean.

Use the mean to find the variance.

Use the variance to find the standard deviation.

Step-by-step explanation:

The guy up there did good. I used 100pts to ask a question not 50

Write the decimal -0.43-- as a fraction in simplest form​

Answers

Answer:

Step-by-step explanation:.12=12/100...3/25

1.4=14/10...7/5

0.57=57/100...


21 3/5 is what percent of 40?

Answers

Answer:

21.6 is 54% of 40.

Step-by-step explanation:

HOPE THIS HELPS!!!

Have a great day!

- Hailey: )

A table measures 76.2 centimeters in length. Write an equation to find the length of the table in inches. Solve the equation. Show your work.

(1 inch = 2.54 centimeters)

Answers

Answer:

76.2 / 2.54 = 30

Step-by-step explanation:

(Centimeters of table) / (Centimeter to inch conversion rate) = (Inches of table)

find the volume of the prism in cumbic centimeters

Answers

Answer:

351cm³

step by step explanation:

Volume of the prism:

=[1/2×(a+b)×h]×l

=[1/2×(5+8)×6]×9

=(1/2×13×6)×9

=(6.5×6)×9

=39×9

=351cm³

please please please help!

AD = ___ units

Answers

I believe it’s 5 units sorry if I’m incorrect

if x = -2, what does -x mean

Answers

Answer:

-x = 2

Step-by-step explanation:

If,

x = -2

Then,

-x = -(-2)

=> -x = 2 (Ans)

AYUDA estoy atrapada!!!!!!!!!!!
Resuelve las siguientes ecuaciones
a) 2 000 + x = 3x – 1 000
b) 5m -7 = 13 – 3m
c) 6n +6 = 4n +12
d) 7x + 12 = 5x + 20
e) 5x + 3 = 2x + 9

Answers

Answer:

a) x = 1500

b) m = 2.5

c) n = 3

d) x = 4

e) x = 2

Step-by-step explanation:

Just remember that whatever you do to one side of the equation, you must do to the opposite side. Your aim is to isolate x.

a, b, and c are all vectors that have the same direction.
a + b = c
The magnitude of a = 6 and the magnitude of b = 8.
Find the magnitude of c.

Answers

Answer:

14 = c

Step-by-step explanation:

it is just like u said;

a + b = c

6 + 8 = c = 14

(it could also be 8-6 = c = 2)

A trapezoid has a height of 12 feet,
and base measurements of 15 feet and
10 feet. What is the area?
[?] square feet
Hint: The formula for the area of a traxzod is to

Answers

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Given :

→ Base = 15 and 10

→ Height = 12

To Find :

→ Area of trapezoid

Solution :

Area of Trapezoid = (a + b)/2 × h

= (15 + 10)/2 × 12

= 150 ft²

∴ The area of Trapezoid is 150 ft²

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