Some steps are shown in converting the following conic inequality from general form to standard form. Complete the conversion and identify the shape, key feature, and which ordered pair is part of the solution set. 9x2 – 18x + 4y2 + 16y – 11 > 0 9x2 – 18x + 4y2 + 16y > 11 9(x2 – 2x) + 4(y2 + 4y) > 11 9(x2 – 2x + 1) + 4(y2 + 4y + 4) > 11 + 9 + 16

Answers

Answer 1

Answer:

Thank  you sir

Step-by-step explanation:

ellipse with dashed line boundary

(1,-2)

(-2,0)

Answer 2

The conversion of the equation of the conic section from general form to standard form will be (x – 1)²/4 + (y + 2)²/9 > 1. This is the equation of an ellipse.

What is a conic section?

The shape which is derived from the cone is known as a conic section.

Some steps are shown in converting the following conic inequality from general form to standard form.

Complete the conversion and identify the shape, key feature, and which ordered pair is part of the solution set.

The equation is given below.

    9x² – 18x + 4y² + 16y – 11 > 0

           9x² – 18x + 4y² + 16y > 11

          9(x² – 2x) + 4(y² + 4y) > 11

9(x² – 2x + 1) + 4(y² + 4y + 4) > 11 + 9 + 16

               9(x – 1)² + 4(y + 2)² > 36

             (x – 1)²/4 + (y + 2)²/9 > 1

This is the equation of an ellipse.

More about the conic section link is given below.

https://brainly.com/question/10311514

#SPJ2


Related Questions

Assume n is a natural number bigger than 1. what is the total number of ways you can write down as total sum of other numbers?​

Answers

Answer:

report me !!! dont ask why or how

Step-by-step explanation:

HELPPPPP PLEASEEEE I BEG YOUUUUUU

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Answer:

D 5 This the answer

Step-by-step explanation:

HOPE it HELPS

your ans. is D.........

ZA= 0 Round your answer to the nearest hundredth. 2 6 B​

Answers

Answer:

19.47°

Step-by-step explanation:

2 = opposite to A

6 = hypotenus

From trigonometry :

Sin A = opposite / hypotenus

Sin A = 2 / 6

Sin A = 1/3

A = sin^-1(1/3)

A = 19.47°

2. If tan 0 = 3/4, find Sin 20​

Answers

Answer:

This is an impossible question. tan(0) = 0 If this means that you are supposed to just add 3/4 to each of these, then sin(20) = 1.09

Hope that this helps!

Find the missing value of: -1 = 7 - ?

Answers

8 is the missing value. Negative one is equal to seven subtract 8

Answer:

-1 = 7 - 8

Step-by-step explanation:

Determine whether the function are inverse. F(x)=6x+l;g(x)=6x-1

Answers

Nope, inverse of first function is
f^-1(x)= (x-1)/6

8 x (3.8 + 13.2)-6 =

Answers

Answer:

Add

3.8

and

13.2

.

8

x

17

6

Multiply

17

by

8

.

136

x

6

Anybody know the answer to this it would be very helpful

Answers

Answer:

The cost for 4 snacks is 18 dollars.

Cost for x snacks: 4.5x

Step-by-step explanation:

4 x 4.5 = 18

Answers:

Cost for 4 snacks = 70 dollarsCost for x snacks = 4.50x+52 dollars

The algebraic expression shown above is the same as writing 52+4.50x

You may not need to type in "dollars" or a dollar sign, as your teacher may just want the numbers and algebraic symbols.

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

Explanation:

There are four people going to the movies, and each ticket costs $13 a piece, so that means the total so far is 4*13 = 52 dollars.

If we want to include snacks, then it costs $4.50 per snack. Buying 4 packages will cost an additional 4.50*4 = 18 dollars. In total, if Kiran wants to buy four snacks, then he'll need 52+18 = 70 dollars.

---------------------

Instead of computing 4.50*4 to get 18, we can leave the "4.50*4" like it is. Adding it onto the 52 found earlier leads to the expression 52+4.50*4

Now imagine that instead of "4", we just had a generic placeholder x take over. The x is standing in for any positive real number, or it could stand in for 0 if Kiran decides to not buy any snacks at all.

If we replace that "4" with x, then the expression

52+4.50*4

is the same as

52+4.50*x

Often times, you'll see the multiplication symbol omitted and the expression could look like 52+4.50x

Because we can add two numbers in any order, that expression above is the same as 4.50x+52

-------------------

Extra info (optional section):

The useful thing about something like 4.50x+52 is that we can graph y = 4.50x+52 and/or set up a table to be able to quickly determine how much money it will cost for buying any amount of snacks.

For example, let's say he wants to buy 10 snacks. That means we replace x with 10 and evaluate like so

4.50x+52 = 4.50*10+52 = 45+52 = 97

Buying 10 snacks, on top of the 4 movie tickets, cost $97 in total.

Tell the error and leave if you disagree or agree.​

Answers

Answer:

Step-by-step explanation:

9. disagree;

error: he should have divided 60 by 4, not subtracted. So the correct answer is x = 15.

10. disagree;

error: it should be 3x + 2 = 127 (opposite angles)

so x = 125/3

A true-false examination was constructed with the answers running in the following sequence: T F F T F T F T T F T F F T F T F T T F Does this sequence indicate a departure from randomness in the arrangement of T and F answers?

Answers

Answer:

yes

Step-by-step explanation:

lets use a significance level of = 0.1

Determine if the sequence indicates randomness

First step :

H0 : pattern is random

H1 : pattern not random

n1 ( number of true answers ) = 10

n2 ( number of false answers ) = 10

also number of runs for T = 5

       number of runs for F = 5

Total number of runs = 5+ 5 = 10

Given that critical value at 0.05 = 23

we will reject the null hypothesis ( i.e the sequence departs from randomness )

A 24 ft ladder is positioned next to a house for window cleaning. The manufacturer recommends the ladder rest at an angle of 76° with respect to the ground for safe operation. How far away from the house should the ladder be positioned to ensure the recommended angle of 76°? Round your answer to the nearest foot.

A 76 degree angle of elevation is drawn. The line from the horizontal axis to the vertical axis measures 24 units.

Enter your answer in the box.

Answers

Answer:

6 feet

Step-by-step explanation:

cos = adj/hyp

cos76 = adj/24

multiply both sides by 24

24 * cos76 = adj

5.806125494392025 = adj

Rounded

6 feet

Find the distance between the points (0, –3) and (4, 0).

Answers

Step-by-step explanation:

➜√(4-0)^2+(0+3)^2

➜√4^2+3^2

➜√16+9

➜√25

➜5units

Step-by-step explanation:

d=√)(x2-x1)²+(y2-y1)²

d=√(4-0)²+(-3+0)²

d=√(4)²+(-3)²

d=√16+9

d=√25

d=25

25x to the 2nd power minus 49

Answers

Answer:

(5x+7) (5x-7)

Step-by-step explanation:

you can look up the answer on symbolab if needed

Find the area of the figure 2m 3m 6m 3m

Answers

area of rectangle = length x width
6 x 3 = 18
area of triangle = base x height over 2
2 x 6 = 12
12 / 2 = 6

triangle 2
3 x 3 = 9
9 / 2 = 4.5

add everything together
4.5 + 6 + 18 = 28.5 m^2

NEED HELP FAST CLICK TO SEE PLS

Answers

Answer:

Last Option

Step-by-step explanation:

Last one because the dot on top of the 4 is filled in and that means it can also equal 4. The rest of the line is going to the right of the 4 so x will be more than 4. The little line below the more than sign means it can also equal 4. Hope this helped :)

Answer:

Option D, x ≥ 4

Step-by-step explanation:

Rule 1: Closed circle: the inequality sign with a line at the bottom, its called greater than or equal to (≥), and less than or equal to (≤), that means that the number 4 is included in the data set.

Rule 2: Since the line is going to the right of 4, there are values greater than 4 in the data set which means x (any value) has to be greater than 4.

So bringing both rules together the equation would be: x ≥ 4

Hope this helps!

The value -1 is a solution for x2 - 6x+ 5 = 0.
True or false

Answers

Answer:

false

Step-by-step explanation:

If -1 us a solution then putting -1 in place of x will be 0

[tex] \rm \dashrightarrow \: {x}^{2} - 6x + 5 = 0 \\ \rm \dashrightarrow \: {( - 1)}^{2} - 6( - 1) + 5 = 0 \\ \rm \dashrightarrow \: 1 + 6 + 5 = 0 \\ \rm \dashrightarrow \: 7 + 5 = 0 \\ \rm \dashrightarrow \: 12 \cancel{ = }0[/tex]

solve the differential equations
[tex]y \frac{d {}^{2} y}{dx {}^{2} } - ( \frac{dy}{dx}) {}^{2} - 4 = 0 [/tex]

Answers

try scanning it on the camera maybe brainly knows how to answer this?

Match each equation on the left with the number and type of its solutions on the right.

Answers

Answer:

Step-by-step explanation:

1). Given equation is,

   2x² - 3x = 6

   2x² - 3x - 6 = 0

   To find the solutions of the equation we will use quadratic formula,

   x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

   Substitute the values of a, b and c in the formula,

   a = 2, b = -3 and c = -6

   x = [tex]\frac{3\pm\sqrt{(-3)^2-4(2)(-6)}}{2(2)}[/tex]

   x = [tex]\frac{3\pm\sqrt{9+48}}{4}[/tex]

   x = [tex]\frac{3\pm\sqrt{57}}{4}[/tex]

   x = [tex]\frac{3+\sqrt{57}}{4},\frac{3-\sqrt{57}}{4}[/tex]

   Therefore, there are two real solutions.

2). Given equation is,

    x² + 1 = 2x

    x² - 2x + 1 = 0

    (x - 1)² = 0

     x = 1

     Therefore, there is one real solution of the equation.

3). 2x² + 3x + 2 = 0

     By applying quadratic formula,

     x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

      x = [tex]\frac{-3\pm\sqrt{3^2-4(2)(2)}}{2(2)}[/tex]

      x = [tex]\frac{-3\pm\sqrt{9-16}}{4}[/tex]

      x = [tex]\frac{-3\pm i\sqrt{7}}{4}[/tex]

      x = [tex]\frac{-3+ i\sqrt{7}}{4},\frac{-3- i\sqrt{7}}{4}[/tex]

      Therefore, there are two complex (non real) solutions.

Write the augmented matrix for the following system of equations.
x - 2 = 0
2y = 4 - 2

Answers

9514 1404 393

Answer:

  [tex]\left[\begin{array}{cc|c}1&0&2\\0&2&2\end{array}\right][/tex]

Step-by-step explanation:

The system of equations can be written in standard form as ...

  x + 0y = 2

  0x +2y = 2

The augmented matrix representation of these is ...

  [tex]\left[\begin{array}{cc|c}1&0&2\\0&2&2\end{array}\right][/tex]

i need help with these 2
i need to get a answer and i have to explain pls help! :(

Answers

Answer:

12. C. 40 more students chose baseball than basketball

20. 500 total flowers

Step-by-step explanation:

12. To find the number of students that chose baseball, we multiply 25% by 800 students surveyed. First we have to convert 25% to a decimal = 0.25

800 x 0.25 = 200 students chose baseball.

Then, for basketball, 20% of students chose that, so 20% = 0.20

800 x 0.2 = 160 students chose basketball

200-160 = 40 more students chose baseball than basketball

----------------------------

20. I don't know what your "magic sentence" looks like. You can set this up as a ratio, where x is the total number of flowers, and the 56% is a fraction of 56/100

280/x = 56/100

then cross multiply

28,000 = 56x

divide by 56

x = 500

Check the math: 500 x 0.56 = 280

If you want to tell me what your teacher's "magic sentence" looks like in the comments, I can try to fill it in with/for you.

The table of values represents a function ​f(x).

How much greater is the average rate of change over the interval [7, 9] than the interval [4, 6]?



Enter your answer in the box.

Answers

Answer:

It is 603 units greater

Step-by-step explanation:

Given

See attachment for table

Average rate of change over (a,b) is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]

For interval [7,9], we have:

[tex][a,b] = [7,9][/tex]

So, we have:

[tex]Rate = \frac{f(9) - f(7)}{9-7}[/tex]

[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]

From the table:

[tex]f(9) = 3878[/tex]

[tex]f(7) = 1852[/tex]

So:

[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]

[tex]Rate = \frac{3878 - 1852}{2}[/tex]

[tex]Rate = \frac{2026}{2}[/tex]

[tex]Rate = 1013\\[/tex]

For interval [4,6], we have:

[tex][a,b] = [4,6][/tex]

So, we have:

[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

From the table:

[tex]f(6) = 1178[/tex]

[tex]f(4) = 358[/tex]

So:

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

[tex]Rate = \frac{1178 - 358}{2}[/tex]

[tex]Rate = \frac{820}{2}[/tex]

[tex]Rate = 410[/tex]

Calculate the difference (d) to get how much greater their rate of change is:

[tex]d = 1013 - 410[/tex]

[tex]d = 603[/tex]

Answer:

603

Step-by-step explanation:

i took it

Suppose the sphere below with radius r has a volume equal to 30 units 3? Find
the volume of the sphere with twice the radius.
- 2r-
A. 60 units 3
B. 120 units3
C. 240 units3
D. 300 units2

Answers

Answer:

240 units 3.................

Answer: see photo

Hope it helps

Which of the following numbers makes the statement true? 3/8 > < 3/6​

Answers

Answer:

2/5

Step-by-step explanation:

3/8 = 375/1000

1/2 = 500/1000

2/5 = 400/1000

75% of 96 = what is the answer
Express the % as a fraction

Answers

Answer:

72

Step-by-step explanation:

75% of 96 =

= 75/100 * 96

= 3/4 * 96

= 3 * 96/4

= 288/4

= 72

Very urgent!!!

The container that holds the water for the football team is 16 full. After pouring in 5 gallons of water, it is 12 full. How many gallons can the container hold?

Answers

Answer:

15

Step-by-step explanation:

Let volume of container = x

1/6x + 5 = 1/2x

x/6 + 5 = x/2

Multiply through by 6

x + 30 = 3x

Subtract 30 from both sides

x + 30 - 30 = 3x - 30

x = 3x - 30

x - 3x = - 30

-2x = - 30

x = 30 /2

x = 15

A certain test preparation course is designed to help students improve their scores on the GRE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course: 6,14,12,23,0 Using these data, construct a 95% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 2 of 4 : Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place.

Answers

Answer:

(0.25 ; 21.75)

8.7 (1 decimal place)

Step-by-step explanation:

Net change in scores : X = 6,14,12,23,0

Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11

Sample standard deviation, s = 8.66 ( from calculator)

Sample standard deviation = 8.7( 1 decimal place)

Sample size, n = 5

The 95% confidence interval; we use t, because n is small

Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776

Xbar ± standard Error

Standard Error = Tcritical * s/√n

Standard Error = 2.776 * 8.66/√5

Standard Error = 10.751086 = 10.75

Lower boundary = (11 - 10.75) = 0.25

Upper boundary = (11 + 10.75) = 21.75

(0.25 ; 21.75)

The

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Nothing Ever Goes As Planned
In This Accursed World
The Longer You Live
The More You Will Realize
That The Only Things
That Truly Exist In This Reality
Are Merely Pain
Suffering And Futility
Listen
Everywhere You Look In This world
Wherever There Is Light
There Will Always Be
Shadows To Be Found as Well
As Long As There Is A Concept
Of Victors
The Vanquished Will Also Exist
The Selfish Intent
Of Wanting To Preserve Peace
Initiates Wars
And Hatred Is Born
In Order To Protect Love
There Are Nexuses
Causal relationships That Cannot Be Separated
I Want To Serve
The Faith Of This
World
A World Of Only Victors
A World Of Only Peace
A World Of Only Love
I Will Create Such A World

Answers

Answer:

What do I answer?.......

What is the y-intercept for f(x) = x2 - 4x +6 ?

Answers

Answer:

6

Step-by-step explanation:

the constant is the y-intercept

Will give brainliest

What is the coordinate of the vertex
for the following parabola:
(x - 1)2 = 12(y + 2)
A (-1,2)
B. (1,2)
C (1, 2)
D. (0, 12)

Answers

Answer:

The vertex is (1,-2)

Step-by-step explanation:

On your page it would be C :)

Sorry. Here's the entire question.

Answers

7/10

Hope this helps!! :)
7/10 good luck and have a good day
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