Find the standard form equation
of the Hyperbola -2y-82+9x^2=y^2

Answers

Answer 1

Answer:

x²/9 − (y + 1)²/81 = 1

Step-by-step explanation:

-2y − 82 + 9x² = y²

9x² = y² + 2y + 82

9x² = y² + 2y + 1 + 81

9x² = (y + 1)² + 81

9x² − (y + 1)² = 81

x²/9 − (y + 1)²/81 = 1


Related Questions

**10 POINTS PLEASE HELP**
Can each of the shapes below be expressed as a composite figure of equilateral triangles? Select Yes or No for each shape.

A pyramid
(select)

A hexagon
(select)

A pentagon
(select)

Answers

Answer:

A pyramid yes

a hexagon no

a pentagon no

Step-by-step explanation:

Choose the correct correspondence. U ∠T ∠S ∠R

Answers

Answer:

angle S

Step-by-step explanation:

You have to make the triangles congruent. Therefore, you have to flip one triangle vertically and horizontally. (To see the picture google choose the correct correspondence,  I am looking at the one with two triangles in the figure.) If you imagine putting them over top of each other, then U goes over S.

Sorry my answer was so late.

Answer:

The answer is going to be S

Step-by-step explanation:

The average human gestation time is 266 days from conception. A researcher suspects that proper nutrition plays an important role and that low-income women with inadequate food intake would have shorter gestation times even when given vitamin supplements. A random sample of 20 low-income women who were given vitamin supplement throughout their pregnancy had a gestation time from conception of x - 256 days The researcher's alternative hypothesis for the test is:______.
a. Ha : μ =/ 256.
b. Ha: μ = 266.
c. Ha : μ < 266.
d. Ha : μ < 256.

Answers

Answer:

c. Ha : μ < 266.

Step-by-step explanation:

Null hypothesis: The mean value is x.

Alternate hypothesis. The mean value is different than x, greater than x, smaller than x...

In this question:

Average of 266 days, so the null hypothesis is that the mean is 266.

In the sample:

He suspects that the generation time is less than 266. So

c. Ha : μ < 266.

How many proportional relationships are shown in the coordinate plane here???

Answers

Answer:

3

Step-by-step explanation:

In the graph, there are three lines , so that indicates that there are 3 proportional relationships

Pls help me 15 points if you fake it u get reported

Answers

Answer:

The volume question is 1,120 I think

Is 656250 divisible by 10?

Answers

Answer:

Yes 656250 is divisible by 10. Answer is 656250.

Yes it has a 0 on the end so it is divisible without decimals

Answer = 65625

760-__=214=225+231need help​

Answers

Hey, actually I am new here, otherwise I was on brainly.in (India)....so can anyone tell me about some moderators here.....need help....

A mixture of 5 pounds of fertilizer A, 13 pounds of fertilizer B, and 4 pounds of fertilizer C provides the optimal nutrients for a plant. Commercial brand X contains equal parts of fertilizer B and fertilizer C. Commercial brand Y contains one part of fertilizer A and two parts of fertilizer B. Commercial brand Z contains two parts of fertilizer A, five parts of fertilizer B, and two parts of fertilizer C. How much of each fertilizer brand is needed to obtain the desired mixture? (If the system is dependent enter a for brand X and enter brand Y and brand Z in terms of a.)

Answers

Answer:

x = 2; y = 3; z = 1

Step-by-step explanation:

For the first fertilizer (A) we can form the equation:

y + 2z = 5          

For the second fertilizer (B) we can form the equation:

x + 2y + 5z = 13

For the third fertilizer (C) we can form the equation:

x + 2z = 4

solving simulteneously:

y = 5 - 2z

x = 4 -2z

Substituting (i) and (ii) into (2)

4 - 2z + 10 -4z + 5z = 13

14-z =13, therefore z = 1

substituting z into (i) and (ii)

y = 3

x = 2

What is the area of a circle?

Answers

Answer:

area=πr2

Step-by-step explanation:

pie radius squared

Answer:pie r square

Step-by-step explanation:

There are 4 boy in a class of 13 students? What is the ratio of girls to boys?

Answers

Answer:

4:9

Step-by-step explanation:

13-4=9 AND THERES 4 boys so that means there are 9 girls. So 4:9

What type of number is the square root of 13

Answers

A decimal

3.60555127546

Have a great day

A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property tax change. 25% of those who responded said they were in favor of the change. The company running the survey wants to construct a confidence interval estimating the proportion of all adults in the town who support the change. Which of the conditions for inference have been satisfied?

I. Random condition

II. Normal condition

III. 10% condition

A) I

B) II

C) I and III

D) II and III

E) I, II, and III

Answers

Answer:

C) I & III

Step-by-step explanation:

Given:

Sample size, n = 18

Sample proportion = 25% = 0.25

Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.

For the normal condition to be satisfied, np should be greater than 10, ie np > 10.

In this case, np = 18 * 0.25 = 4.5

Since np is less than 10, the normal condition was not satisfied.

For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.

Here, the sample size is 18 and the population is 1500. Therefore,

[tex] \frac{18}{1500} * 100 = 1.2 [/tex]

Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.

The correct option is C, because only I & III were satisfied.


Solve both equations the lines are absolute value and please include detailed steps for each
I’ll report you if you don’t put a legit answer.

Answers

Answer:

see below

Step-by-step explanation:

|x+8| ≤ 4

Separate into two equations one positive and one negative , remembering to flip the inequality for the negative

x+8 ≤ 4        x+8 ≥ -4

Subtract 8 from each side

x+8 -8 ≤ 4-8    and     x+8-8 ≥ -4-8

x ≤-4     and    x ≥ -12

Writing as one function

-12 ≤x ≤-4

|x-8|+5  ≥ 11

Subtract 5 from each side

|x-8|+5-5  ≥ 11-5

|x-8|  ≥ 6

Separate into two equations one positive and one negative , remembering to flip the inequality for the negative

x-8  ≥ 6      or      x-8 ≤  -6

Add 8 to each side

x-8+8  ≥ 6+8       or     x-8+8 ≤  -6+8

x  ≥ 14      or      x ≤  -2

Answers and Step-by-step explanations:

9. | x + 8 | ≤ 4

Remember that absolute value just denotes the distance between the argument within the absolute value signs and 0 on a number line. That means that if the item within the absolute value is negative, the absolute value of it will be the positive value because distance is always positive.

That means we have 2 cases here: x + 8 > 0 (positive) or x + 8 < 0 (negative).

Case 1: x + 8 > 0

x + 8 ≤ 4

x ≤ -4

Case 2: x + 8 < 0

-(x + 8) ≤ 4

-x - 8 ≤ 4

-x ≤ 12

x ≥ -12

Combining these two inequalities, we get:

-12 ≤ x ≤ -4

10. | x - 8 | + 5 ≥ 11

Let's isolate the absolute value expression by subtracting 5 from both sides: | x - 8 | ≥ 6

We again have two cases: x - 8 > 0 and x - 8 < 0.

Case 1: x - 8 > 0

x - 8 ≥ 6

x ≥ 14

Case 2: x - 8 < 0

-(x - 8) ≥ 6

-x + 8 ≥ 6

-x ≥ -2

x ≤ 2

Combining these two inequalities, we get:

x ≤ 2 and x ≥ 14

Calculate the indicated value of each function. f(x) = –15x^2+9. Find f(12).

Answers

Answer:

-2151

Step-by-step explanation:

f(x) = –15x^2+9.

Let x = 12

f(12) = -15 ( 12)^2 +9

       = -15 (144) +9

       = -2151

Answer:

-2151

Step-by-step explanation:

F(x) = -15x^2 + 9

F(12) = -15 (12)^ 2 + 9

= -15 * 144 + 9

= -2160 + 9

= -2151

A square has side length (5x-3) cm. What is the area of the square?​

Answers

Answer:225 cm

Step-by-step explanation:

Square has 4 equal sides

Area of squares equal length x width

If one side length is 5x-3 , the width is the same

Hence -15 x -15

Julie went to the store with $20.00. if she bought 8 cans of dog food for $.67 per can, how much money did she have left? IF YOU ANSWER THIS QUESTION, I WILL RATE YOUR ANSWER 5 STARS, BRAINLIEST ANSWER, AND A THANK YOU!
PLEASE ANSWER THIS QUESTION ASAP!

Answers

Answer:

$14.64

Multiply 8 by .67 which is 5.36

Subtract 5.36 from 20.00 and that's 14.64

Answer:

14.64

Step-by-step explanation:

Have a wonderful day hope this helps

Translate the sentence into an inequality.
The quotient of b and 7 is greater than or equal to 26.

Answers

Answer: b/7>=26

Step-by-step explanation:

Answer:

[tex]\frac{b}{7} \geq 26[/tex]

Step-by-step explanation:

1) we are given "the quotient of b and 7", quotient means to divide and since b comes before 7 it must be [tex]\frac{b}{7}[/tex]

2) "greater than or equal to" means that the [tex]\frac{b}{7}[/tex] from earlier must be either greater than, or the same value as the following number so you use this sign: [tex]\geq[/tex]

3) 26 comes last in the problem meaning it must come after the [tex]\geq[/tex] sign

4) you then combine them together to get  [tex]\frac{b}{7} \geq 26[/tex] !

Hope this helps!

What number is opposite of 98

Answers

Answer:

89

Step-by-step explanation:

Answer:

-98

Step-by-step explanation:

Because the negative of the number is on the opposite side of a number line.

HELP MEE ILL MARK BRAINLEIST

Answers

Answer:

3x-3 I think that's it.

Step-by-step explanation:

Answer:

The vertex is (1, -4)

Step-by-step explanation:

PLEASE HELP

Which of the following inequalities is true according to the number line?

Answers

Answer:

A ≥ D

Step-by-step explanation:

Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?

Answers

Answer:

1/25 miles per minute

Step-by-step explanation:

Speed is distance divided by time

1/5 miles ÷ 5 minutes

Copy dot flip

1/5 * 1/5

1/25 miles per minute

Answer:

speed(v)=1.07

Step-by-step explanation:

v=m/s (1/5 mile is 321 m and 5 min is 300 seconds)

=321/300=1.07

I run a book club with $n$ people, not including myself. Every day, for $365$ days, I invite four members in the club to review a book. What is the smallest positive integer $n$ so that I can avoid ever having the exact same group of four members over all $365$ days?

Answers

Answer: 12

Step-by-step explanation:

If we have n people and we want to do groups of 4, the total number of different combinations is:

[tex]c = \frac{n!}{(n - 4)!4!}[/tex]

and we want find the smallest n such c > 365.

let's do it by brute force:

if n = 5, we have:

[tex]c = \frac{5!}{1!*4!} = 5[/tex]

if n = 6

[tex]c = \frac{6!}{2!*4!} = \frac{6*5}{2} = 15[/tex]

if n = 7

[tex]c = \frac{71}{3!*4!} = \frac{7*6*5}{3*2} = 35[/tex]

if n = 8

[tex]c = \frac{8!}{(4!*4!} = \frac{8*7*6*5}{4*3*2} = 70[/tex]

if n = 9

[tex]c = \frac{9!}{5!*4!} = \frac{9*8*7*6*5}{5*4*3*2} = 126[/tex]

if n = 10

[tex]c = \frac{10!}{6!*4!} = \frac{10*9*8*7}{4*3*2} = 210[/tex]

So you can see the patern here.

So we have the previous number multiplied by n and divided by n - 4

if n = 11

C = 210*11/(11- 4) = 330

if n = 12

C = 330*12/(12 - 4) = 495

Then the minimum number of members such we have more than 365 combinations is 12 members

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

[tex]226.2m^2[/tex]

Step-by-step explanation:

[tex]A_L=2\pi rh=2*\pi *4.5*8\\=226.19467\\=226.1947\\=226.195\\=226.2m^2[/tex]

A triangle xyz has vertices
X (6,4), Y (5,-3) and (5,-1).
Find
whether
it's a
scalene triangle​

Answers

Answer:

yes scalene as xy=7cm

xz=5cm

yz=2cm

Step-by-step explanation:

by the graph

hope this helps plzz mark me brainliest

Answer:

Scalene

Step-by-step explanation:

Let's find XY, XZ and YZ

XY = √[(6-5)^2 + (4-(-3)] = √[(1^2 ) + (7^2)]=√(1+49) =√50 = 7.0711

YZ = √[(5-5)^2 + (-3 -(-1))^2 ]=√[(0^2) + (-2)^2] =√(0 + 4) = 2

XZ = √[(6-5)^2 + (4-(-1)^2] = √[(1^2 ) + (5^2)]=√(1+25) =√26 = 5.099

By observation XY , XY and YZ are not the same; hence none of the sides is equal

A scalene triangle has no side equal

The sum of the speeds of two trains is
726.1 miles per hour. If the speed of the first train is
9.9 mph faster than that of the second​ train, find the speeds of each.

Answers

Answer:

Train 1: 368 mph

Train 2: 358.1 mph

Step-by-step explanation:

We can write 2 equations to represent this problem.

[tex]x+y=726.1[/tex]

[tex]x=9.9+y[/tex]

The x represents the first train and the y represents the second train.

We can plug in x into the first equation.

[tex](9.9+y)+y=726.1[/tex]

[tex]9.9+2y=726.1[/tex]

[tex]2y=716.2[/tex]

[tex]y=358.1[/tex]

Now that we know our y, we can find our x.

[tex]x=9.9+y[/tex]

[tex]x=9.9+358.1[/tex]

[tex]x=368[/tex]

What is the probability of flipping tails and rolling a three?
This includes a quarter and dice.

Answers

Answer:

1/12

Step-by-step explanation:

There is a 1/6 probability of getting a 3 on a dice roll because there are 6 sides, and there is a 1/2 probability of flipping a tails because there are only 2 possibilities in a coin, if you multiply these 2 values you get 1/12 which is the answer.  

If a = 5 units , b = 8 C = 4 Units, and d = 3 units what is the volume of the composite figure?

Answers

Answer:

[tex]V = 208\,u^{3}[/tex] (Option C)

Step-by-step explanation:

The volume of the composite figure is:

[tex]V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)[/tex]

[tex]V = 208\,u^{3}[/tex] (Option C)

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answers

Answer:

3/k = x

Step-by-step explanation:

5kx +6 = 7kx

Subtract 5kx from each side

5kx -5kx +6 = 7kx-5kx

6 =2kx

Divide each side by 2k

6 /2k = 2kx/2k

3/k = x

Answer with explanation will mark brainliest
for best response

Answers

Answer:

Angle B = 106.6 degrees

Step-by-step explanation:

b^2= a^2+c^2-2*a*c*cosB

9*9 = 4*4 + 7*7 - 2*7*4*cosB

81= 16+49-56cosB           Subtract 16 and 49 from both sides

16= -56cosB           Divide by -56 on both sides.

cosB= -16/56         Take the arccosine of both sides

B=arccos(-16/56)                    

B= 106.6

Answer:

B. 106.6

Step-by-step explanation:

To solve for angle B, we can use the law of cosines.

Recall that the law of cosines states [tex]b^2=a^2+c^2-2ab*cos(B)[/tex]

When this is solved for angle B, we get [tex]B=cos^{-1}( \frac{a^2+c^2-b^2}{2ac} )[/tex]

In this triangle, [tex]a=7, b=9, c=4[/tex]

Now, we can plug these numbers into our equation and then simplify to get B.

[tex]B=cos^{-1}( \frac{7^2+4^2-9^2}{2(7)(4)} )\\\\B=cos^{-1}( \frac{49+16-81}{56} )\\\\B=cos^{-1} (\frac{-16}{56} )\\\\B=106.602\\\\B=106.6[/tex]

A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees is selected. The Number of days absent in one year is listed below. An Incentive program is offered in an attempt to decrease the number of days absent. The number of days ansent in one year after the incentive program is listed below. Test the claim that the incentive program cuts down on the number of days missed by employees. Use a=0.05. Assume that the distribution is normally distributied.Employee A B C D E F G H I JDays Absent Before incentive 3 8 7 2 9 4 2 0 7 5Days absent after incentive 1 7 7 0 8 2 0 1 5 5

Answers

Answer:

The incentive program does not cuts down on the number of days missed by employees.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

A paired t-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.

The hypothesis for the test can be defined as follows:

H₀: The incentive program does not cuts down on the number of days missed by employees, i.e. d ≥ 0.

Hₐ: The incentive program cuts down on the number of days missed by employees, i.e. d < 0.

From the information provided the data computed is as follows:

 [tex]n=10\\\bar d=-1.1\\SD_{d}=2.99[/tex]

Compute the test statistic value as follows:

 [tex]t=\frac{\bar d}{SD_{d}/\sqrt{n}}[/tex]

   [tex]=\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16[/tex]

The test statistic value is -1.16.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

[tex]p-value=P(t_{n-1}<-1.16)\\=P(t_{10-1}<-1.16)\\=P(t_{9}<-1.16)\\=0.1379[/tex]

*Use a t-table.

The p-value of the test is 0.1379.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, there is not enough evidence to support the claim.

Conclusion:

The incentive program does not cuts down on the number of days missed by employees

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