What are the coordinates of the center of the hyperbola with equation (x-2)^2/4^2-(y+3)^2/5^2=1

Answers

Answer 1

Answer: (6, -3)

(x^2-4x+4)/16-(y^2+6y+9)/25 = 1

x = 6

y = -3

6^2 = 36

4 * 6 = 24

36 - 24 = 12

12 + 4 = 16

16/16 = 1

-3^2 = 9

6 * -3 = -18

9 - 18 = -9

-9 + 9 = 0

0/25 = 0

1 - 0 = 1

I really hope this helped, at least a little bit.

Answer 2

The coordinates of the center of the hyperbola is  (6,-3).

What is hyperbola?

Hyperbola is a type of "smooth curve, lying in the plane defined by its geometric properties or by the equation for which it is in solution set".

According to the question,

[tex]\frac{(x-2)^2}{4^2}[/tex]  -  [tex]\frac{(y+3)^2}{5^2}[/tex] = 1

Standard form of hyperbola = [tex]\frac{(x-k)^2}{a^2}[/tex]  -  [tex]\frac{(y-h)^2}{b^2}[/tex]  = 1.

The expression 'y' is positive leading coefficient so the hyperbola so the hyperbola is open upward and downward . Comparing with standard equation we get center of hyperbola (2,-3) and 'a' point the hyperbola is 4 and the 'b' point of hyperbola is 5 and mark point 5 unit right as well as left on x-axis and 4 unit up and down on y-axis.

From above discussion we get clearly the coordinate of hyperbola is

(6-3).

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Related Questions

Anybody know this pls help

Answers

Answer:

1. (-1/4,0)(1.5,0)

2.(-1/2,2)(6/4,2)

Step-by-step explanation:

just locate the numbers on the graph

identify the parts of the expression then write a word expression for the numerical or algebraic expression.

Please explain and only answer if you are completly sure about your answer.


Due in 20 minutes!!!!​

Answers

Answer:

the answer is-

Step-by-step explanation:

b added to 12 times x.

the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc

Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for 6? Why or why not?

Answers

Answer:

No, it is not.

Step-by-step explanation:

comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,

   6 - 2 = 4

So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.

Please I need help with this tooo.....will give 5 start and brainlist....

Answers

i don’t know sorry but try googling the answer

A pair of shoes usually sells for $65. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes, including tax?
A. $44.79
B.
$49.40
C
$51.68
D
$48.23

Answers

Answer:

Step-by-step explanation:

Since 20% is taken off, 100%-20% or 80% remains.

80% of $65 is 0.80�$65 or $52.  That's the price without tax.  

The tax on $52 is 0.06�$52 or $3.12,

$52 + $3.12 = $55.12

Answer:

d

Step-by-step explanation:

All rectangles are parallelograms. True or False.​

Answers

all rectangles are parallelograms, but only SOME parallelograms are rectangles.

Answer:

I agree

Step-by-step explanation:

Some rectangles aren't parallelograms

The measure of Angle 1 is 95 degrees. Which of the following is NOT a true
statement about the angles shown below?*

Answers

Answer:

The second choice. m < 4 = 85 degrees.

Step-by-step explanation:

m < 4 = 180 - m < 1

= 180 - 95

= 85 degrees.

The measure of angle 4 is 85 degrees.

How does an angle form?

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that measure of Angle 1 is 95 degrees.

Therefore, we can see that  angle 4 and Angle 1 makes linear pair so.

Angle 4 = 180 - Angle 1

= 180 - 95

= 85 degrees.

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which equation represents the function on the graph?

Answers

Answer:

the answer would be c the

third option

the answer should be c :)

Please answerrrrrrr !!!! please

Answers

i believe it’s C ( hope it help )

what is the inverse of the function y=4x+5

Answers

Answer:

the answer for this question is (y-5)/4=x

Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive. Somebody please Help!

Answers

Answer:

108/9 = 12

Take the total amount of Candy (108) and divide it by the amount of people that will receive an equal amount (9). 108/9 = 12

Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^). For example, you
would enter x2 as x^2.
343x3 + 216y3

Answers

Answer:

  (7x +6y)(49x^2 -42xy +36y^2)

Step-by-step explanation:

The factoring of the sum of cubes is a special form:

  a³ +b³ = (a +b)(a² -ab +b²)

We recognize the given expression as a sum of cubes, so we can use this pattern to factor it.

Identifying the cubes

From our memory of the cubes of small numbers (or from the cube root function of our calculator), we can identify the terms as ...

  343x³ +216y³ = (7x)³ +(6y)³

Application

Our factoring pattern above can be used with ...

a = 7xb = 6y

Substituting these values, we have ...

  343x³ +216y³ = (7x)³ +(6y)³ = (7x +6y)((7x)² -(7x)(6y) +(6y)²)

  343x³ +216y³ = (7x +6y)(49x² -42xy +36y²)

I NEED HELP ASAP:(
Use the commutative or associative property to simplify the expression.
-1/7(9x)

Answers

Answer:

i think it is -9x/7

Step-by-step explanation:

a triangle has one side of length 12 and another of length 7 which of the following are possible lengths of the third side ​

Answers

Answer:

Step-by-step explanation:

The first rule is that 2 of the sides must be bigger than the third.

4 and 7 makes 11 which is not bigger than 12, so A is not an answer.

5 + 7 = 12 That does not exceed 12, so the second one is not an answer

12 12 and 7 works perfectly. It makes an isosceles triangle. Any two of the three sides added together is larger than the third side.

If you put 19 20 or 21 into what you think might make a triangle, you would be incorrect. 12 and 7 makes 19. 19 is too large because 12 and 7 will lie flat on 19. No triangle works.

So only 12 works.

In short, 5<x<19 will create a triangle. Anything outside that inequality will not.

Answer:

7 and 12

Step-by-step explanation:

using triangle inequality theorem

if triangle has side a,b, and c, then all of them will trus if fulfill this inequality

a+b > c

a+c > b

b+c > a

now take a = 7 and b = 12

so the number c which can make triangle with a and b is

7 and 12

there are 50 cards in a pack and each card is either red or black
the ratio of the number of red cards to the number of black cards 1:1

10 black cards are removed from the pack

find the ratio of the number of red cards in the pack to the number of black cards in the pack
Give your answer in its simplest form


Please show your working out

Answers

Step-by-step explanation:

Ratio Red to Black is 1:1

Therefore, Red and Black has 25 cards respectively

If 10B cards are removed, then 25-10=15B cards left

Current ratio Red to Black is 25:15 and simplest form is 5:3

A ratio of 1:1 means there are the same number of red and black cards, so 25 of each. Take 10 black away and now there are still 25 red but only 15 black. The ratio is 25:15, which simplifies to 5:3 ( divide 25 and 15 by 5 because 5 is the greatest common factor of 25 and 15)

PLEASE ANSWER THIS, ITS DUE TODAY!! *100 POINTS*

Answers

The answer is choice b:Spread

Answer:

B. Spread

Step-by-step explanation:

Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing. To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog? 8% 28% 46% 61%

Answers

Answer:

28%

Step-by-step explanation:

Given that

The calculation of probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog is shown below:-

Remaining of large pieces of mail were catalogs

= 100% - 22%

= 78%

Now, we will solve the equation to find out the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog

[tex]= \frac{36}{100}\times \frac{78}{100}\times 100[/tex]

[tex]= \frac{2,808}{10,000}\times 100[/tex]

= 28.08%

or

28%

Answer:

28%

Step-by-step explanation:

What is the area of parallelogram ABCD?
7
А
6
B
5
13 square units
0 14 square units
15 squtare units
16 square units
4
3
2.
D
1
С
1
2
3
4
5
6
7
x

Answers

Answer:

13 square units

Step-by-step explanation:

The area of the parallelogram is 13 square units

The area of a parallelogram is the product of the height and the base of the parallelogram

Assume the parallelogram has the following properties

Base = 6.5 units

Height = 2 units

The area of the parallelogram is calculated as:

Area = Base * Height

So, we have:

Area = 6.5 units * 2 units

Area = 13 square units

Hence, the area of the parallelogram is 13 square units

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What is the y-intercept of the line perpendicular to the line y = -3/4 x + 5 that includes the point (-3, -3)?
Answer choices =
-3/4
1
7
-21/4

Answers

Answer:

y= -3/4

Step-by-step explanation:

The y-intercept of the line perpendicular to the line  [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1

The equation of a line in point-slope form passing through the points

[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Given that,

The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point

(-3, -3).

Let us assume that the slope of perpendicular lines is m₁ and m₂.

Hence,

[tex]m_1 \times m_2 = - 1[/tex]

Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]

The equation of perpendicular line is,

[tex]y = \frac{-3}{4} x + 5[/tex]

Slope = [tex]\frac{-3}{4}[/tex]

Hence, the slope of the line is,

[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]

[tex]m = \frac{4}{3}[/tex]

Since, the line includes the point (-3, -3).

Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

⇒ [tex]y - (- 3) = \frac{4}{3} (x - (- 3))[/tex]

⇒ [tex]y + 3 = \frac{4}{3} (x +3)[/tex]

Multiply by 3 on both sides,

⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]

⇒ [tex]3y + 9 = 4x + 12\\[/tex]

⇒ [tex]3y = 4x + 3[/tex]

⇒ [tex]y = \frac{4}{3} x + 1[/tex]

So, the y-intercept is, 1

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You spin the spinner below once. What is the P(getting a number less than 5)?

Answers

Answer:

3/4

Step-by-step explanation:

Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances

The required probability of getting a number less than 5 is 3/4

The correct option is (B)

What is Probability?

The mathematical possibility of any event is called probability

The probability of impossible event is zero and sure event is one

The probability can be calculated as

Probability = [tex]\frac{favourable}{total}[/tex]

How to find probability?

here we have given total event or sample is

S = {2, 3, 4, 5}

n(S) = 4

The required probability of getting a number less than 5

Favorable event E = {2, 3, 4}

n(E) = 3

Therefore the

P(E) = 3/4

Hence the correct option is (B)

This is the conclusion to the answer.

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Pleasee help I am being timed

Answers

Answer:

A: 33.5

B: 24.5

Step-by-step explanation:

Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.

Step-by-step explanation:

What is the area of a circle that has a radius of 16.25? USE 3.14 FOR PI!!!!
DO NOT ROUND.

Answers

Answer:

730.61664

Step-by-step explanation:

area equals πr2=π·15.252≈730.61664

Answer:

829.15625 units squared

Step-by-step explanation:

The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.

|x|-13=-3 solve the equation​

Answers

Answer:

[tex]x=10\\x=-10[/tex]

Step-by-step explanation:

[tex]|x|-13=-3\\|x|=-3+13\\|x|=10[/tex]

[tex]x=10\\x=-10[/tex]

Answer:

[tex]x=\pm 10[/tex]

Step-by-step explanation:

[tex]\mid x \mid -13=-3[/tex]

Add 13 to both sides:

[tex]\mid x \mid=10[/tex]

[tex]x=\pm 10[/tex]

Hope this helps!


Express the following rate as a unit rate.

224 miles in 4 hours

50 miles per hour
64 miles per hour
56 miles per hour
44 miles per hour

Answers

the answer is 56 miles per hour

Answer:

224/4

this will give you 56 miles per hour, or c.

Step-by-step explanation:

Hope this helps!

Work out the value of a

Answers

Answer:

a=30

Step-by-step explanation:

I don't say you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

The value of a is 30 degree

hope it helps..

Good luck on your assignment

plz plz will mark bianleast
Reflect point B across the x-axis.

What are the coordinates of point B'?


(2, 2)

(2, –2)

(–2, 2)

(–2, –2)

Answers

Answer:

(2, -2)

Step-by-step explanation:

Go along the x line to under point B (2) and then go up the y line to across form point B (2) then reflect it so (2, -2)

Answer:

(2,-2)

Step-by-step explanation:

when you reflect from b you two down to the x axis and the do it again. you will get your coordinates

Select all the correct answers. Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and s stools, which expressions show the total number of furniture legs in aisle 2?

Answers

Answer: T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area A = 25π cm2 and Θ = straight pi over 4 Your answer: 20straight pi fraction numerator 5 pi over denominator 4 end fraction fraction numerator 4 pi over denominator 5 end fraction fraction numerator 10 pi over denominator 4 end fraction

Answers

Answer:

s = 5/4 pi

Step-by-step explanation:

A = 25π cm2

Theta = pi/4

A = pi r^2 = 25 pi

Divide each side by pi

r^2 = 25

Taking the square root of each side

sqrt(r^2) = sqrt(25)

r = 5

The arc length is

s = r  * theta where theta is in radians

s = 5 * pi/4

s = 5/4 pi

Hello can someone please help me ASAP

Answers

Answer:

A.

Step-by-step explanation:

[tex]m^2+n^2=p^2[/tex] because the Pythagorean Theorem is [tex]leg^2+leg^2=hypotenuse^2[/tex]

Answer:

A

Step-by-step explanation:

Since p is the hypotenuses it's supposed to be the biggest measure so the m and n should equal the hypotenuses when both are squared

Factor the perfect square trinomial x2 - 12x + 36.

Answers

Answer:

(x - 6)(x - 6)

Step-by-step explanation:

-6 + -6 = -12

-6 * -6 = 36

meaning -6 in in both

if you want to find x

x = 6

Answer:

6

Step-by-step explanation:

x2-12x+36=0

find a two numbers that add to -12 and multiply to 36

-6 and -6

(x-6)(x-6)=0

x-6=0     x-6=0

x=6         x=6

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