Mathematics High School

PLEASE NO LINKS

This hyperbola is centered at the origin. Find its equation. Foci: (0,-9) and (0,9) Vertices: (0,-7) and (0,7)​

Answers

Answer 1

Answer:

The equation of hyperbola :  [tex]\frac{y^{2} }{49 } - \frac{x^{2} }{32 }[/tex]

Step-by-step explanation:

Given - This hyperbola is centered at the origin.

Foci: (0,-9) and (0,9) Vertices: (0,-7) and (0,7)​

To find - Find its equation.

Solution -

We know  that,

Equation of Hyperbola is represented by

[tex]\frac{y^{2} }{a^{2} } - \frac{x^{2} }{b^{2} }[/tex]

Now,

Given that,

Foci : F(0, -9) and F'(0, 9)

So,

c = 9

And

Vertices : A(0,-7) and A'(0,7)​

So,

a = 7

Also, we know that,

c² = a² + b²

⇒b² = c² - a²

⇒b² = 9² - 7²

⇒b² = 81 - 49

⇒b² = 32

So,

The equation of hyperbola becomes

[tex]\frac{y^{2} }{49 } - \frac{x^{2} }{32 }[/tex]

Related Questions

can someone please help me with this??? im trying to correct test answers

n = ?

Answers

(n+6)/(n+16)=4/9, cross multiply
4(n+16)=9(n+6)
4n+64=9n+54
10=5n
n=2 ( I think)

which graph can be used to solve the equation 2x-1=x+2

Answers

Answer: top right

Step-by-step explanation:

An equation is formed of two equal expressions. The graph can be used to solve the equation 2x-1=x+2 is the Top right one.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The two of the given equations can be written as,

y = 2ˣ - 1

y = x + 2

If the two equations are now when plotted on the graph, it will be like the one shown below. Hence, the graph can be used to solve the equation 2x-1=x+2 is the Top right one.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ6

The wholesale price for a watch is $25. The markup percent is 50%. What is the retail price?

Answers

Answer:

$50

hope this helps!!!!!!!!!

3 + x = y given x = 1 y =

Answers

Answer:

y = 4

Step-by-step explanation:

3 + x = y

given x = 1

plug in x = 1

3 + 1 = y

4 = y

y = 4

Answer:

y = 4

Step-by-step explanation:

3 + x = y

3 + 1 = y

4 = y

Please answer the question in the picture

Answers

Answer:

Answer Choice B

B is the correct answer

Pls help with question 2 and 3

Answers

Answer: for 1 V≈3053.63 and for 3 I would say 53 degrees

Step-by-step explanation:

PLS ILL MARK BRAINLIEST (100 points)

Answers

Answer:

For part A:

9x² - 36x + 36 = 0

9(x² - 4x + 4) = 0

9(x-2)(x-2) = 0

Radicand = Discriminant = 36² - 4(9)(36) = 0

there is 1 real zero that repeats itself)

zero is x=2.

Use factoring. Factors of 7 are 1 and 7

2x²-9x+7 = 0

(2x-7)(x-1) = 0

2x-7 = 0 (x-1)=0

2x = 7x=1

x = 7/2

Your solutions are x = 1 and x = 7/2

Step-by-step explanation:

Alarm clocks cost the manufacturer $56.10 per unit to produce. If a markup of $29.80 is added to the cost what is the selling price per clock ?

Answers

Answer:$85.90

Step-by-step explanation:

$56.10

+

$29.80

=

$85.90

Answer:

$85.90

Step-by-step explanation:

find the area of the trapezoid? and no links ​

Answers

Add all the sides n u will get ur answer

Area = 1/2 (base 1 + base 2) height

What is the probability of spinning an even number?

Answers

Answer:

3/5

Step-by-step explanation:

there are 6 even numbers and 4 odd so 10 in total which is 6/10 and that simplified is 3/5 PLS give me brainliest i beg

if ur good at graphs come here.

Answers

Answer:

Believe its D

Step-by-step explanation:

Answer:

(-6,-12) let me know if wrong

Step-by-step explanation:

Mark me brainliest plz

Every day, Jackie practices basketball and guitar. Each day,
she practices basketball for 1.5 hours. If after 6 days she
practiced both basketball and guitar for a total of 21
hours, how many hours per day did Jackie practice guitar?

Answers

i think the answer is 8. not completely sure tho

11. please help me outt ill mark you brainlist !

Answers

I’m not positive, but I think the answer is C because when you look at the big triangle, it looks like you divide each coordinate by 3 (or multiply it by 1/3) to get the small triangle.

e.g. 6 * 1/3 = 2, 3 * 1/3 = 1

Which of the following are square roots of the number below? Check all that apply.​

Answers

Answer:

The answer is D my friend

Answer:

square roots of the 9=3.

which number sentence is true? plz help
3 boxes on top
8 boxes on the bottom
2/3 < 6/8

2/3 < 2/8

1/8 > 1/3

3/3 < 3/8

Answers

Answer:

True: 2/3 < 6/8

Step-by-step explanation:

The rest are incorrect.

Solve the system of equations using the substitution method.
plz answer quickly

Answers

Answer:

I will solve your system by substitution.

y=2;2x+y=8

Step: Solvey=2for y:

Step: Substitute2foryin2x+y=8:

2x+y=8

2x+2=8

2x+2+−2=8+−2(Add -2 to both sides)

2x=6

2x

2

=

6

2

(Divide both sides by 2)

x=3

Answer:

x=3 and y=2

Step-by-step explanation:

Brainiest??

can someone pls help

Answers

Answer:

C

Step-by-step explanation:

4(5)+10-12=18

1 cm 12 cm 1 cm Find the volume of the rectangular prism.​

Answers

Answer:

12 cm^3

Step-by-step explanation:

12 x 1 x 1 =12

D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF?

A) 30
B) 45
C) 60
D) 90

Answers

Answer:

m∠DEF = 90

Explanation:

* Required
1. Which function represents exponential growth?*
1. f(x) = 0.1(8)^x
2. f(x) = 5 (1/3)*x
3. f(x) = 8 (3/4)^x
4 f(x) = 16 (0.3)^x

Answers

Answer:

3

Step-by-step explanation:

1

It’s the only one multiplying by a whole number

1417= 4/3*pi*r^3
Find r

Answers

hopefully this helps!!!
6.96776904 I’m not sure if I’m right

!!! find the indicated side of the triangle PLZ HELP

Answers

Answer:

a=17√2

Step-by-step explanation:

Hi there!

We are given a right triangle with the measure of one angle being 45°, and one of the sides being measured 17

we need to find a

first, let's find the measure of the other angle

because it's a right triangle, the sum of the acute angles are complementary, meaning they add up to 90°

let's make the unknown degree of the other angle x

so that means to find x:

45+x=90

subtract 45 from both sides

x=45°

that means the measure of the other angle is 45°

You may notice since we have two angles with the same measure, that means this triangle is isosceles.

That means the other leg (the other side that isn't marked) is also 17

of course, you could solve for a using Pythagorean theorem, but there's actually a shortcut:

in 45°-45°-90°Δ, the legs are a specific value, and the hypotenuse (the side opposite from the 90° is the value of the legs*√2 (for example, if the legs are 3, then the hypotenuse is 3√2). To remember the rule, if the legs have a measure of s, the hypotenuse has a measure of s√2

therefore the measure of a is 17√2

Hope this helps!

!!!!!!!!!PLEASE HELP!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

This answer is A hope I help

The diameter of Circle X is 18 cm. The diameter of Circle Y is 29 cm. Which circle has the greater area and by how​ much? Use 3.14 for . Use pencil and paper. Describe two ways you can compare the areas of two circles. Explain when you might prefer to use each.

Answers

Y has a bigger area, 660.185 while x is, 254.34
The difference is 405.845

SOMEONE PLEASE HELP 7TH GRADE MATH

Answers

i think it is A) 3/11

i am not positive though

hope this helps:)

Answer:

5 x 6 = 30 your outcome

2, you can either get white or red

2/30 = 1/15

Equation that represents four more than x is twelve

Answers

x + 4 = 12

Explanation: Since it says 4 more that means we use addition. So, x + 4 = 12

Find the sum of the first 8 terms of the following series, to the nearest integer. 28,14,7,...

Answers

Answer:56

Step-by-step explanation:

Find the slope of the line whose equation is 17 + 3y = 7x.
-7/3
17/3
7/3

Answers

Step-by-step explanation:

slope of the line is 7/3

17+3y=7x-7x+3y=17

slope = -x coffecient / y coffecient

-(-7)/37/3

stay safe healthy and happy.

2. Which is the midpoint of AB with A(-1, 5) and B(6, -3)?
A (-4, 3.5)
B (1, 2.5)
C (2.5, 1)
D (3.5, -4)

Answers

B because it is b I try
It’s (1,2.5) Hope this helps

4x - 6 + x + 3

ASAP BRAINLIEST

Answers

Answer:

5x - 3

Step-by-step explanation:

Add like terms: (4x + x) + (-6 + 3) = 5x - 3

Answer:

3x-3

Step-by-step explanation:

combine like terms, 4x-x=3x and -6+3=-3

Other Questions
Find the area of the regular polygon? Please please please the brainiest person help me!!!!! choices:x= -6 x= -3x= -2x= -1x= 0x= 1x= 2x= 3 x= 6 Today, Miguel drank a total of 7 ? of waterA)gallons B)cups Question is in image What is 5.13 expressed as a mixed number? Does the following statement refer to a growth or fixed mindset? "Science will always be impossible to me, no matter how hard I try." hello please help ill give brainliest Based on the phylogenetic tree above, which two organisms are least closely related?A. Chimpanzee and Rhesus monkeyB. Baboon and humanC. Chimpanzee and humanD. Human and Rhesus monkey Which equation shows the mathematical relationship between the frequencyand the period of a wave?O A. T=2fB. f = T-1O C. T=1/fO D. f =T Water in the bloodstream dissolves what? Please help Read the sentence below and answer the question The inclusion of Lancelot in "the lady of shallot" establishes the poem as an example of the romantic periodWhich statements offer supporting evidence that could be used to back up the claim above? Select all that applyThe arrival of Lancelot signals the texts historical significance, as Lancelot lived during this time. Lancelots presence adds elements of magic and mysticism to the poem. Romantics often minded medieval texts for ideas and inspiration. Lancelot fills a romantic role within the poem, as he inspires longing in the Lady. what is 345.00 divided by .072? (rounded by ten if possible) 15 points! Create your OWN word problemcreate word problem for 7 x 4 create word problem for 45 9create word problem for 6 x 8 1+1 why does my dog not love me? Find the measure of angle b.Which is the answer?A.92B.111C.69D.88Can you help me, I would appreciate it very much rEwarding Brainliest to correct Answer Identify the coordinates for point E. Type your answer in the form (#,#), without spaces. Prove solve (200 + 200) 100 Shari bought 3 breath mints and received $2.76 change.