Find an equation for the hyperbola with center at origin (0,0), vertex (-6, 0) and focus
at (-10, 0)

Answers

Answer 1
-10 is the vertex dueeee

Related Questions

Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 212121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients.



Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year?

Answers

Answer:

The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.

Step-by-step explanation:

The best estimate for the proportion of clients who expect to go on 3 vacations is the same proportion of the sample.

Sample:

45 clients.

Of those, 21 expected to go on 3 vacations in the next year.

21/45 = 0.4667

Out of the 516 clients:

0.4667*516 = 240.8

Rounding up

The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.

7. 5x -6 = 3x + 14
8. 6x - 11 = 4x + 3

More and last question. Thanks YISREAL and HARRIETH!!!!!. More points for you people.

Answers

Answer:

Q1. x = 10

Q2. x = 7

Step-by-step explanation:

The steps are :

Q1.

[tex]5x - 6 = 3x + 14[/tex]

[tex]5x - 3x = 14 + 6[/tex]

[tex]2x = 20[/tex]

[tex]x = 20 \div 2[/tex]

[tex]x = 10[/tex]

Q2.

[tex]6x - 11 = 4x + 3[/tex]

[tex]6x - 4x = 3 + 11[/tex]

[tex]2x = 14[/tex]

[tex]x = 14 \div 2[/tex]

[tex]x = 7[/tex]

Answer:

[tex]x=10, \: x=7[/tex]

Step-by-step explanation:

[tex]5x -6 = 3x + 14[/tex]

[tex]5x -6+6-3x = 3x + 14+6-3x[/tex]

[tex]5x -3x = 14+6[/tex]

[tex]2x=20[/tex]

[tex]x=\frac{20}{2}[/tex]

[tex]x=10[/tex]

[tex]6x - 11 = 4x + 3[/tex]

[tex]6x - 11+11-4x = 4x + 3+11-4x[/tex]

[tex]6x-4x = 3+11[/tex]

[tex]2x=14[/tex]

[tex]x=\frac{14}{2}[/tex]

[tex]x=7[/tex]

Please help me simplify these expressions

Answers

Answer:

6p^5 q^3

Step-by-step explanation:

download the app cymath for these types of questions

this (^) means exponents

-----

Number 5:

2p^2qx3p^3q^2

Take out the constants (2x3)p^2p^3qq^2

Simplify 2x3 to 6, 6p^2p^3qq^2

6p^2+^3q^1+^2

simplify 2+3 to 5, 6p^5q^1+^2

simplify 1+2 to 3

6p^5 q^3

Write in radical form and simplify if possible: (5x)⅓

Answers

Answer: [tex]\sqrt[3]{5x}[/tex]

Direct variation: if y = 4, when x = -2, find x when y = 6

Answers

Answer:

-3

Step-by-step explanation:

Because when y is 4, x is 4/-2 = -2

So when y is 6,

x= 6/-2

= -3

-3 because when y is two then x is -1 so if you multiply both values by 3 then y is 6 and x is -3

(a + b)(a2 – ab + b2) = a3 + b3

Answers

Answer:

a3 + b3 = a3 + b3

Step-by-step explanation:

I'm not sure what you are asking for but this equation is true if that's the problem.

Multiply all the variables and then combine like terms.

On the left side we end out as a3 + b3 which is equal to the right side. Hope this helps!

3.268 rounded to the whole number

Answers

Answer:

Brainliest goes to me!

Step-by-step explanation:

3

3.268

lets only look at 3.2   .......

3.2 is rounded down to 3

Answer:

3.268 rounds to 3

Step-by-step explanation:

Numbers less than 5 round downNumbers that are 5 or higher round upRounding to the whole number would be rounding to the One's Place2 is less than 5, so it rounds down to 3

Please mark Brainliest

Please answer asap for brainliest!!!!!

Answers

Answer:

x= 50

Step-by-step explanation:

The unknown angle is also x since we have an isosceles triangle and the bases angle are the same

The sum of the angles of a triangle are 180 degrees

x+x+80 =180

2x+80 = 180

Subtract 80 from each side

2x= 180-80

2x= 100

Divide by 2

2x/2 =100/2

x= 50

Answer:

[tex]x=50[/tex]°

Step-by-step explanation:

This is an isosceles triangle since 2 of it's sides are the same length. That means the missing angles are the same. Since a triangles' interior angles add up to 180°, we get:

(180°-80°)÷2=x°

100°÷2=x°

50°=x°

x°=50°

20 PTS see image......................

Answers

Answer:

a-4/5+1/6 (n-1)

Step-by-step explanation:

Answer:

a-4/5+1/6 (n-1)

Step-by-step explanation:

Michelle and her family went out to dinner. Their bill, after tax, came to $40. They want to leave a 15% tip. How much money should they leave for the tip? .

Answers

Answer:

tip is $6

Step-by-step explanation:

multiply 40 by 0.15 so 6

A shopkeeper sold a book for $ 180.He made a profit of 20%.calculate the cost price of the book.

Please help!Am new to this chapter.

Answers

Hello!

Answer:

The cost of the book is $150.

______________________________Explanation:

CP = [tex]\frac{SP(100)}{100 + PP}[/tex]

Basically, what this formula is saying is that to find the cost price (CP), we must multiply the sale price (SP) by 100, and divide the product by the sum of 100 + profit percentage (PP).

CP = [tex]\frac{180(100)}{100 + 20}[/tex]

CP = [tex]\frac{18000}{120}[/tex]

CP = 150

       

Answer:

$150

Step-by-step explanation:

let cp=x

(20/100*x) +x=180

1/5x+x=180

6x/5=180

6x=180*5

x=(180*5)/6

x=150

Look at pic plzzzzzz

Answers

Answer:  10.35 miles per hour

Step-by-step explanation:

[tex]\dfrac{63,756\ feet}{70\ minutes}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ minutes}{1\ hour}=\dfrac{(63,756)(60)\ miles}{(70)(5280)\ hour}=\dfrac{10.35\ miles}{hour}[/tex]

Suppose that a storm front is traveling at 33 mph. When the storm is 13 miles away a storm chasing van starts pursuing an average speed of 54 mph. How long does it take for the van to catch up with the storm? How far have they driven? (Hint: we can let our two variables be x= distance and t= time. Additionally, [speed x time= distance]. Won't the van catch up when the distances are equal?

Answers

Answer:

It takes 0.619 hours (approximately 37 minutes) for the van to catch up with the storm.

They have driven 33.43 miles

They will catch up when their distances are equal.

Step-by-step explanation:

The speed of the van is 54 mph, and the speed of the storm is 33 mph. They are going in the same direction, so the relative speed is the difference of their speeds:

relative speed = 54 - 33 = 21 mph

Now, to find the time when the van reaches the storm, we just need to use the equation:

distance = speed * time

13 = 21 * t

t = 13 / 21 = 0.619 hours

The distance traveled by the van is:

distance = 54 * 0.619 = 33.43 miles

The van will catch up when the distances are equal (the distance of the storm is 13 + 33*0.619 = 33.43 miles)

I need to know this problem cause I need to finish summer school

Answers

Answer:

27

Step-by-step explanation:

#3 is 1/3^3, and #4 is 1/x. The x is obviously 3^3 simplified, which is 27.

I see that you are in high school. Im in 7th grade and i can do this lol.

HELP FAST
√32 as a mixed radical

Answers

Answer:

[tex]4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{32}= \\\\\sqrt{2\cdot 16}= \\\\\sqrt{2\cdot 4^2}= \\\\4\sqrt{2}[/tex]

Hope this helps!

Answer:

[tex]4\sqrt{2} \\[/tex]

Step-by-step explanation:

4 times the square root of 2 is equivalent to the square root of 32.

5. What is the value of s if 8.25s - 2.375 = 10?
1.5
8,25
8
1.7
8,25
06
8,25
093​

Answers

Answer:  

1

Step-by-step explanation:

8-1,2,4.....

 

25-1,5...

Please does know the answer

Answers

Answer:

69.08 cm

Step-by-step explanation:

Volume of each container

= l*b*h

= 20cm*30cm*50cm

= 30000cm ^3

= 0.03 m^3

The volume of 200 of these containers

= 0.03*200

= 6 m^3

The volume of the tank is also equal to 6m^3

Volume of tank = πr^2h

πr^2h= 6

πr^2= 6/4

r^2 = 6/4*7/22

= 42/88

= 0.477

r= √0.477

= 0.6908m

= 69.08cm

Answer:

Base radius  = 69.08 cm.

Step-by-step explanation:

Volume of each container = 20*30*50

= 30,000 cm^3

200 of these has a volume of  

200 * 30000

= 6,000,000 cm^3.

The volume of the cylinder = π r^2 h

= π r^2 * 400 = 6000000

r^2 = 6000000 / (π  * 400)

r^2 = 4774.65

r = 69.08 cm.

Julie went shopping at the mall for a new pair of jeans. She saw a pair at Hollister that was marked $50 with a 40% discount. She saw a pair at Abercrombie that was marked $40 with a 20% discount. How much would each pair of jeans cost after the discount?

Answers

Answer:

30 and 32

Step-by-step explanation:

A gardener made a scale drawing of a lawn with a scale factor of 1:10. The
dimensions of her drawing are 7 inches long by 3 inches wide. Her partner plans
to make another scale drawing of the lawn, but with a scale factor of 1:2.
What are the dimensions of her scale drawing?
5 of 16 QUESTIONS
The length is 0.6 inch and the width is 1.4 inches.
The length is 15 inches and the width is 35 inches.
The length is 35 inches and the width is 15 inches.
The length is 1.4 inches and the width is 0.6 inch
SUB

Answers

Answer:

The length is 35 inches and the width is 15 inches.

Step-by-step explanation:

First work of the real length of the field. Given is the ratio of drawing to original and the dimensions of the drawing. so in real life the lawn measures 70 inches in length and 30 inches in width.

Now, we have to divide this in the ratio 1:2, which gives

The length of 35 inches and the width of 15 inches.

Hope this helps

Answer:

Your answer is 3 or C.. 35 inches and width of 15 :)

Step-by-step explanation:

Compare and contrast the Angle Angle Similanty Postulate, the Side Side Side Similarity Theorem and the Side Angle
Side Similanty Theorem
Write about the similantes and the differences that you observe.?

Answers

Answer:

The similarities are

1) Two triangles are similar when they meet either the (Angle Angle) AA, (Side Side Side) SSS or (Side Angle Side) SAS criteria

2) When two triangles meet either of the above similarity criteria they automatically meet the other similarity criteria

3) The ratio of their equivalent sides are equal such that when ΔABC is similar to ΔDCE we have;

AB/DC = AC/DE = BC/CE

The observed differences are

1) Triangles that meet the SAS and SSS Similarity Theorem criteria can be said to be congruent, that is they have both the same side sizes and angle sizes while triangles that meet only the AA Similarity Postulate criteria may or may not be congruent

2) The number of possible triangles formed by the SAS or SSS Similarity Theorem criteria is only one while the number of possible triangles formed by the AA Similarity Postulate criteria is infinite

3) A triangle that meets either the SAS or SSS Similarity Theorem criteria also meets the AA Similarity Postulate criteria

4) A triangle that meets either the AA Similarity Postulate criteria does not necessarily meet the AA Similarity Postulate criteria.

Step-by-step explanation:

The similarity postulates are;

The Angle Angle Similarity Postulate also known as AA

The Side Side Side Similarity Theorem also known as SSS

The Side Angle Side Similarity Theorem also known as SAS

Find the surface area and volume of the prism.

Answers

Answer:

SA: 456

V: 408

Step-by-step explanation:

To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!

Formula of surface area: T.S.A = ph + 2b

p: represents the perimeter of the base, h

h: the height of the prism and B

B: the area of the base.

6 + 8 + 10 = 24

24 x 17 = 408cm^2

Formula of Volume:

V: of a prism is the area of the base

B: times the height h

h: height

V=Bh

8 x 7 = 56cm^3

The solutions of a quadratic equation is 8 and 2. What is the quadratic equation?


(i need help now)

Answers

Answer:

x² - 10x + 16 = 0

Step-by-step explanation:

Given the solutions x = 8 and x = 2 , then the factors are

(x - 8) and (x - 2) and the equation is

(x - 8)(x - 2) = 0 ← expand left side using FOIL

x² - 10x + 16 = 0

Jeremy is driving to his friends house that is 60 miles away from his home the scale on Jeremy's map is 1 1/2 inches equivalent to 9 miles how far is it on the map from jeremys house to his friends?

Answers

Answer:

The distance between their house on the map is 10 inches.

Step-by-step explanation:

In order to calculate the distance from Jeremy's friend house to his we can apply a rule of three in a way that 60 miles is related to "x" inches in the same proportion as "1 1/2" inches is related to 9 miles. Before applying that it'll be for the best if we convert the mixed fraction to a pure fraction as shown below:

[tex]d = 1\frac{1}{2} = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}[/tex]

Creating the rule of three:

[tex]\frac{60}{9} \frac{\text{miles}}{\text{miles}} = \frac{x}{\frac{3}{2}} \frac{\text{inches}}{\text{inches}}\\\\9*x = \frac{60*3}{2}\\\\x = \frac{180}{18}\\\\x = 10 \text{ inches}[/tex]

The distance between their house on the map is 10 inches.

Find the volume of the prism.

Answers

(1/2(6)(5) )(15)=(15)(15)=225 ftcube

solve 2x^2-4x-18=0 by completing the square. round the solutions to the nearest hundredth

Answers

Answer:

1-√10

1+√10

Step-by-step explanation:

2x^2-4x-18=0x^2-2x-9=0x^2-2x+1-10=0(x-1)^2-10=0(x-1+√10)(x-1-√10)=0x=1-√10x=1+√10

which expression is equivalent to y^4 -100?

Answers

Answer:

Using the difference of squares this can be rewritten as (y² + 10)(y² - 10).

Answer:

(y² + 10)(y² - 10)

Step-by-step explanation:

y^2=y^4

What is the perimeter of the triangle?

Answers

Answer:

P = 36 units

Step-by-step explanation:

Pythagoras

ip = √(12² + 9²)

= √(144 + 81)

= √225

= √15²

= 15 units

P = 9units + 12units + 15units = 36 units

Without actual division, prove that 2x^4 - 5x^3 + 2x^2 - x + 2 is divisible by x^2 + 3x + 2.

Answers

Answer:

Thinking Process

(i) Firstly, determine the factors of quadratic polynomial by splitting middle term.

(ii) The two different values of zeroes put in bioquadratic polynomial.

(iii) In both the case if remainder is zero, then bioquadratic polynomial is divisible by

quadratic polynomial.

Answer:

2x⁴ - 5x³ + 2x² - x + 2=

2x²(x²-3x+2) +x³-2x² -x +2=

2x²(x²-3x+2) + x(x²-3x+2) +x² -3x +2=

(x²-3x+2)(2x²+x+1)

since x²-3x+2 is the factor of the given polynomial, we can state the polynomial is divisible by x²-3x+2

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

note: x²+3x+2 is not the factor of the given polynomial

Ramla has two full 1.5 litre bottles of water. She wants to fill as many glasses as possible with water from the bottles. Each glass can hold 180 millilitres of water.
How many glasses can Ramla completely fill?

Answers

Answer:

8 glasses

Step-by-step explanation:

Total volume : 1500 ml

Glasses capacity : 180 ml

Glasses can be filled : 1500 / 180 = 8.33

Notice it says completely fill thus it is 8 glasses

In QRS m Q = 80 degrees m R = 65 degrees m S = 35 degrees which side of the QRS is the longest

Answers

Answer: RS

Step-by-step explanation:

A greater angle of a triangle is opposite a greater side. If angle Q is greater than angle R, then side RS is greater than side QS.

Because Q is the larger angle in the triangle, Then RS is the longest side.

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