Mathematics High School

Which hyperbola has one focus point in common with the hyperbola (y+11)^2/(15^2)-(x-7)^2/(8^2)=1

Answers

Answer 1

Answer:

3 &4

Step-by-step explanation:

Which Hyperbola Has One Focus Point In Common With The Hyperbola (y+11)^2/(15^2)-(x-7)^2/(8^2)=1

Answer 2

The hyperbola with one focus point in common with the given hyperbola is:

[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1

Which hyperbola has one focus point in common with the given hyperbola?

To find a hyperbola that shares one focus point with the given hyperbola, we need to find another hyperbola with the same focus point but different characteristics (e.g., eccentricity or axis length).

The equation of the given hyperbola is:

[(y + 11)² / 15²] - [(x - 7)² / 8²] = 1

The general equation of a hyperbola with its center at (h, k) is:

[(y - k)² / a²] - [(x - h)² / b²] = 1

The center (h, k) of the given hyperbola is (7, -11).

To share one focus point, we need to keep the center at (7, -11) but change the values of a and b. The eccentricity of a hyperbola is defined as e = c / a, where c is the distance from the center to the focus.

Let's assume the new hyperbola has an eccentricity different from the given hyperbola. We'll keep the same value of c and change the value of a to get a different eccentricity.

Let's say the new hyperbola has a value of a' = 10. Since the eccentricity is different, the value of b' will change accordingly. Let's calculate b' using the eccentricity formula:

e = c / a'

15 / 10 = 1.5

Now, we can find b' using the eccentricity:

e = c / a' = c / 10

c = e * a' = 1.5 * 10 = 15

Now, we have the center (7, -11), the value of a' = 10, and the value of c = 15. The equation of the new hyperbola with one focus point in common is:

[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1

Learn more on hyperbola here;

https://brainly.com/question/15935373

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Related Questions

anyone can answer this right now please
What is the solution to the inequality |2x – 3| > 5?

Answers

Answer:

x = 5

2 x 5 = 10

10 - 3 = 7

You could also use a replacement set.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Replacement Set↓ What x can be

[tex]\left[\begin{array}{ccc}5&6&7\\8&9&10\\11&12&13\end{array}\right][/tex]

And so on.

Please click the thanks button.

Find the missing number in this proportion. 9 = 18/32

Answers

Seems like they simplified the nine by dividing it by two, therefore divide the 32 by two as well and you get 16 so 9/16

Hilary was scuba diving. She was 30 feet below the surface when she swam toward the dive platform. She dropped her camera when she was 10 feet from the surface and had to swim down 15 feet to get it. At what elevation did Hilary retrieve her camera? Negative 10 feet Negative 15 feet Negative 25 feet Negative 30 feet

Answers

Answer:

She picked up her camera at -25ft

Step-by-step explanation:

Given

[tex]Initial\ Position = -30ft[/tex]

Required

Determine the position she retrieved her camera

The position where she dropped her camera is given as:

[tex]Position = -10ft[/tex]

She swim down 15ft;

So, the nee position is

[tex]New\ Position = -10ft - 15ft[/tex]

[tex]New\ Position = -25ft[/tex]

Hence; She picked up her camera at -25ft

Note that: Negative signs represent that she is below the sea level

Answer:

Step-by-step explanation:

Solve for m.

m/10 - 1/2 = 1/5

Answers

m is equal to 7

Step-by-step explanation:

trust me bro

Answer:

m=7

Step-by-step explanation:

[tex]\frac{m}{10}-\frac{1}{2}=\frac{1}{5}[/tex]

[tex]\mathrm{Add\:}\frac{1}{2}\mathrm{\:to\:both\:sides}[/tex]

[tex]\frac{m}{10}-\frac{1}{2}+\frac{1}{2}=\frac{1}{5}+\frac{1}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{m}{10}=\frac{7}{10}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]\frac{10m}{10}=\frac{7\cdot \:10}{10}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]m=7[/tex]

~Learn with Lenvy~

Express sin I as a fraction in simplest terms 28 21

Answers

Answer:

4/3

Step-by-step explanation:

First, you need to find the greatest common factor between the numerator and denominator. Then you divide the numerator and denominator by thetheir greatest common factor in order to simplify the fraction.

Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.

Answers

By dividing the figure in a rectangle and a circle, we will see that the area of the composited figure is equal to 149.25 square units.

How to find the area of the image?

The area will be the area of the rectangle plus the area of the semicircle.

We can see that the width of the rectangle is equal to the diameter of the semicircle, and the radius of the semicircle is 5 units, so its diameter is:

2*5 = 10 units.

Then the rectangle measures 11 units by 10 units, then its area is:

A = 10*11 = 110 square units.

In another hand, for a semicircle of radius R the area is:

A = 0.5*3.14*R^2

In this case we have R = 5, replacing that we get:

A = 0.5*3.14*5^2 = 39.25 square units.

Adding these two we get:

Area = 110 square units + 39.25 square units = 149.25 square units.

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Jenny is making a tie-dyed shirts for her class with her school colors

Answers

Answer:

2 ounces of yellow, six of blue.

Step-by-step explanation:

If you teacher wants you to simplify put: yellow: 1, blue: 3

If not, put: yellow: 2, blue: 6

What is the area of the triangle?
4
6
units?

I NEED HELP

Answers

Answer:

12 centeters squared (cm^2)

Step-by-step explanation:

Area of a triangle is 1/2(base x hieght),

6 is h & 4 is b.

what’s the first 6 nonzero multiples of 12?

Answers

6 non zero multiple of 12 are 24,36,48,72,84,96.

12 24 36 48 60 72
you just multiply 12x1 12x2 12x3 and so on

What is the value of n in the proportion below?
n/28=4/7
1
12
14
16

Answers

Answer:

16.

Step-by-step explanation:

Solution,

or , N/28 = 4/7

or N = 4 × 28 / 7 = 16.

Find the slope of the line that passes through (10,-8) and (1, 12).

Answers

Answer:

m= -20/9

Step-by-step explanation:

help with quadratic equations

Answers

Answer:

Step-by-step explanation:

Discriminant = b² - 4ac

a = 3 ; b = 24 and c = 48

Discriminant = 24² - 4*3*49

= 576 - 576

= 0

Answer:

A=πr2

Step-by-step explanation:

radius is half a circle and pi is 3.14

Some decimals are rational numbers and some are irrational. Which decimal does NOT represent a rational number?
A. 1.25
B. 1.22222...
C. 0.555555
D. 6.01001000100001...

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 300 kids who go to school 5/8 are intermediate 1/3 are junior the rest are primary

(from my call to teach grade 7 math fractions,decimals,percentages

Answers

Answer:

188 kids in intermediate, 100 juniors, and 13 children that attend primary school.

Step-by-step explanation:

K there are 300 kids.

5/8 are intermediate, so 5/8 * 300 = 187.5, you can't have half a kid, so we can round to 188 kids are intermediates.

1/3 are juniors, so 1/3 * 300 = 100 are juniors.

The rest are primary:

(1)-(5/8 + 1/3)= 1/24

Thus, 1/24 are primary students, so 1/24 * 300 = 12.5 and again we will round up to 13 children in primary classes.

I am not sure if this is answering your question since you don't specifically have one listed.

Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 6, 12, 18, '

Answers

Here , we need to find a formula for nth term of the sequence 6 , 12 , 18 , .....

Now , here if you notice carefully ,then you can notice that 12 - 6 = 6 and 18 - 12 = 6 , So the given sequence is an AP ( Arithmetic Progression ) with common difference being 6 , first term being 6 , so now as we know that :

[tex]{\boxed{\bf{a_{n}=a+(n-1)d}}}[/tex]

Where , [tex]\bf a_n[/tex] is nth term of AP , [tex]\bf a[/tex] being first term while [tex]\bf d[/tex] is the common difference . So , now putting the values in above formula ;

[tex]{:\implies \quad \sf a_{n}=6+(n-1)6}[/tex]

[tex]{:\implies \quad \sf a_{n}=6+6n-6}[/tex]

Cancelling 6 will yield :

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{a_{n}=6n}}}[/tex]

Henceforth , nth term of the sequence is 6n

Just solve for 50 points and brainliest!

10-5+3=

6-4+10=

Answers

Answer:

10-5+3=8

Step-by-step explanation:

6-4+10=12

Answer:

number 1 - 10-5+3=8

number 2 - 6-4+10=12

Which statement below is false about equations and inequalities?

A. Equations have one solution, while inequalities have multiple.

B. The solution(s) to an equation or inequality can be graphed on a number line.

C. Equations and inequalities have multiple solutions.

D. Equations and inequalities are solved the same way.

Answers

the answer is C

have a nice day ☀︎︎

Number two please I need it real quick

Answers

Answer:

Step-by-step explanation:

When you add 2 of the sides together, they are always greater than the other

The answer is b because 15+ 9 is greater then 23 so yeah

¿Cuál de los siguientes valores de n hace CIERTA
la ecuación n^3-125=0 ?
(A) 121
(B) 5
(C) 0
(D) 3
(E) 12

Answers

Answer:

Step-by-step explanation:

n³-125=0

n³=125

n= ³√125

n=5

HELP ASAP!!! BRAINLIEST!!! Write a cubic function whose graph passes through the given points.
(-1,0) (0,2) (2,0) (1,0)

Answers

f(x) = (3/16)(x+4)(x-4)(x-2)

Does this help?

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