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Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?

x squared over 12 minus y squared over 24 equals 1
x squared over 12 minus y squared over 48 equals 1
y squared over 12 minus x squared over 24 equals 1
y squared over 48 minus x squared over 12 equals 1

Answers

Answer 1

Answer:

The answer is y squared over 12 minus x squared over 24 equals 1

Step-by-step explanation:


Related Questions

Find the next three terms in the sequence. 24,20,16,12…. (If you could explain it that would be great too. It’s a bit confusing)

Answers

Answer:

the next three numbers should be 8, 4, 0

Step-by-step explanation:

it reduces by 4 each time

24 - 4 = 20

20 - 4 = 16

16 - 4 = 12

12 - 4 = 8

8 - 4 = 4

4 - 4 = 0

First term =a=24

common difference=d=20-24=-4

Formula

a_n=24-4(n-1)

a_5

24-4(4)8

a_6

24-5(4)4

a_7

24-6(4)0

Need help with solving for X

Answers

Answer:

[tex]\huge\boxed{\sf x = 10}[/tex]

Step-by-step explanation:

Since the two angles are complementary angles, the measures of these angles add up to 90 degrees.

5x + 25 + x + 5 = 90

5x + x + 25 + 5 = 90

6x + 30 = 90

Subtract 30 to both sides

6x = 90 - 30

6x = 60

Divide 6 to both sides

x = 60 / 6

x = 10

[tex]\rule[225]{225}{2}[/tex]

What is the measure of

Answers

Answer:

25

if j 25 L is going to be 25

help i’ll mark brainlist

Answers

4,10 I am only in 5th grade. Ordered pairs might be what ur working with

divide y⁴-2y³-7y²+8y+12 by (y-3) using long division method
please give answer​

Answers

Is this correct please ?

a
April has a sheet of paper that is 3 feet long. She cuts the length of paper into halves and then cuts the
1
length of each of these pieces into sixths.
2
How many pieces does she have?
How many inches long is each piece?
April has
pieces.
Each piece is
inches long.

Answers

Answer:

6x3=18 pieces

6/18 = 1/3

=

18 pieces

72 inches

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER PLEASE

Answers

Answer:

3.0625[tex]\pi[/tex] ft^2

Step-by-step explanation:

A=[tex]\pi[/tex]r^2

A=[tex]\pi[/tex]1.75^2

A=3.0625[tex]\pi[/tex]

3.0625[tex]\pi[/tex] ft^2

when each edge of a cube is decreased by 1 cm, its volume is decreased by 91 cm^3 .Find the length of the a side of the original cube.

Answers

Step-by-step explanation:

the original side length is x.

the volume of a block is length × width × height.

so, for a cube with all sides being equal, the volume in our case is x³ (x × x × x).

now, with the same formula but with every side shortened by 1 cm we get

(x-1)(x-1)(x-1) = x³ - 91 (the original volume minus 91)

now, we have to do the multiplications.

(x-1)(x-1) = x² - 2x + 1

(x²-2x+1)(x-1) = x³ - x² - 2x² + 2x + x - 1 = x³ -3x² + 3x -1

x³ - 3x² + 3x - 1 = x³ - 91

-3x² + 3x = -90

-x² + x = -30

x² - x = 30

x² - x - 30 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -1

c = -30

x = (1 ± sqrt((-1)² - 4×1×-30))/(2×1) =

= (1 ± sqrt(1 + 120))/2 = (1 ± sqrt(121))/2 =

= (1 ± 11)/2

x1 = (1 + 11)/2 = 12/2 = 6

x2 = (1 - 11)/2 = -10/2 = -5

a negative number does not make any sense for a side length, so our solution is x = 6 cm.

the original side length of the cube is 6 cm.

to check :

6³ = 216

(6-1)³ = 5³ = 125

216 - 125 = 91

perfect.

someone help me please

Answers

Answer:

x ≈ 5.8 degrees

Step-by-step explanation:

the sum of all exterior of any polygon is 180 degrees

so:  7x+4 + 5x+4 + 4x+9 + 9x-6 + 4x+1 =  180

combine 'like terms':

29x + 12 = 180

29x = 168

x ≈ 5.8

pls help me with this​

Answers

Answer: A)72.8067226km/hr (final asnwer)
b) volume of a cube= a^3 (sides^3) =4.5^3= 91.125 cm^3 (final asnwer)

c) 1 day cost= $(35.9 +11.55 + 35) =$82.45
therefore for 5 days= $82.45 * (multiplied) by 5 = $412.25 (final asnwer)

Step-by-step explanation:

Answer:

(a)≈72.8 kilometer per hour

(b)91.125 cm^3

(c)272.25$

Step-by-step explanation:

(a)speed=mile/hour

=371mile/8.2hours

=371×1.609kilometers/8.2hours

≈72.8 kilometer per hour

(b)the vol: of cube= a^3 (a=side)

=(4.5)^3

=91.125cm^3

(c) for 5 days, (35.9×5)+(11.55×5)+35 ($35 is ofor one-off charge so there is no need to multiply with 5)

=272.25$

HELP ME PLEASE
Solve for x: -6 – 5x = 29

Answers

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (&Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 6 to both sides of the equation:

-5x - 6 = 29

-5x - 6  (+6) = 29 (+6)

-5x = 29 + 6

-5x = 35

Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5

x = 35/-5

x = -7

-7 is your answer for x.

~

The accompanying table shows the number of bacteria present in a certain culture

over a 5 hour period, where x is the time, in hours, and y is the number of

bacteria. Write an exponential regression equation for this set of data, rounding all

coefficients to the nearest hundredth. Using this equation, determine the number o

bacteria present after 13 hours, to the nearest whole number.

Hours (x) Bacteria (y)

0 1892

1

2106

2

2

2342

3

2525

4

2819

4

5

5

3042

Answers

The general form of the exponential regression equation that models the number of bacteria  is y = ab^x

The exponential regression equation is y = 1910.38 * 1.1^x

How to determine the exponential regression equation?

The dataset is given as:

x     y

0    1892

1     2106

2    2342

3    2525

4    2819

5    3042

To determine the exponential regression equation, we make use of a graphing calculator.

From the graphing calculator, we have the following calculation summary

a = 1910.38

b = 1.10

An exponential regression equation is represented as:

y = ab^x

So, we have:

y = 1910.38 * 1.1^x

Hence, the exponential regression equation is y = 1910.38 * 1.1^x

Read more about regression equations at:

https://brainly.com/question/732489


PLEASE LOOK AT PICTURE AND HELP!!!

Answers

Answer:

answer A

Step-by-step explanation:

nnnnmmmkkkkkkookl

what is the least common denominator of 1/3 and 1/6 ​

Answers

Answer: 6. this is like 3rd grade math just multiply 1/3 and 1/6 to see

Answer:

1/2

Step-by-step explanation:

1/6/1/3=1/2or2

I the not understand the question properly

Factor completely 2x2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5).

Answers

The factor the given polynomial are 2,(x+4),(x-5).

We have given that the equation,

[tex]2x^2 -2x -40[/tex]

What is the meaning factor?

Factoring a polynomial is expressing the polynomial as a product of two or more factors.

We can factor out a 2.

[tex]2(x^2 - x - 20)[/tex]

Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].

[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]

[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]

Therefore, the factor the given polynomial are 2,(x+4),(x-5).

To learn more about the factor visit:

https://brainly.com/question/25829061

i need help cause is due at 11:59 est

Answers

Answer:

Matt used diameter of the ball instead of Radius

Step-by-step explanation:

The volume of a sphere is given as:

4/3πr³
Radius, r = diameter / 2Given that, the diameter = 15 cm ; The Radius = 15 / 2 = 7.5 cm

⇒ Matt made an error in his calculation by failing to covert the value of the diameter given to Radius.

⇒ By dividing the diameter by 2 = 15 / 2 = 7.5, we obtain the Radius, which is what Billy did in her own calculation.

Please help me graph the points with this please and thank you

Answers

Answer:
Hope this helps <3

Step-by-step explanation:

(I color coded them and named them for you so that you wouldn’t have trouble with finding the points <3)

Question 2 (Multiple Choice Worth 1 points)
(04.02 MC)
3
What is the y-intercept of the line perpendicular to the line y = - x + 5 that includes the point (-3,-3)?
4
O
Aiw
4
01
07
O
21
4

Answers

Answer:

y- intercept = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{4}[/tex] x + 5 ← is in slope- intercept form

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

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , then equation of perpendicular line is

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

to find c substitute (- 3, - 3 ) into the equation

- 3 = - 4 + c ⇒ c = - 3 + 4 = 1

that is the y- intercept of the perpendicular line is c = 1

The owners of cami's carnival kept track of how many visitors they had each day last summer. this box plot shows the results. carnival visitors 50 70 90 110 130 150 what fraction of the days did the carnival have 70 or fewer visitors?

Answers

Answer: 1/3

Step-by-step explanation: 50, and 90, 2/6 reduces to 1/3.................2 pp ignore the 2 and p I'm in mobile

Question 6
Luna mixes 2 cup of orange juice with a cup of cranberry juice. She gives
cup of the juice to Mags. How much is left in Luna's glass?

Answers

Answer:

nothing

Step-by-step explanation:

2cups= orange juice

1 cup= cranberry juice

nothing the orange and juice was used to make the mixture of juice

Answer:

its nothing??

Step-by-step explanation:

you gave it to mags so its nothing

Please help me with this problem
Evaluate (-½·3)³

Answers

Answer: -27/8

Step-by-step explanation:

[tex]\left(-\frac{1}{2}\cdot \:3\right)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]

[tex]\left(-\frac{1}{2}\cdot \:3\right)^3=-\left(\frac{1}{2}\cdot \:3\right)^3[/tex]

[tex]=-\left(\frac{1}{2}\cdot \:3\right)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]

[tex]\left(\frac{1}{2}\cdot \:3\right)^3=\left(\frac{1}{2}\right)^3\cdot \:3^3[/tex]

[tex]=-\left(\frac{1}{2}\right)^3\cdot \:3^3[/tex]

[tex]=-\frac{1}{8}\cdot \:3^3[/tex]

[tex]=-\frac{1}{8}\cdot \:27[/tex]

[tex]=-\frac{27}{8}[/tex]

The Furnace Creek Airport in Death Valley, California, has an elevation of 64 meters below sea level. The lowest point in New Orleans, Louisiana, has an elevation of -2 meters. What is the difference between the elevation in New Orleans and the elevation at the Furnace Creek Airport?

Answers

Answer:66 meters

Step-by-step explanation:

just change the negative to a positive and add them together. It would be 66.

Which equation represents a graph with a vertex of (−3,2)?

Answers

Answer:

 y = 4x² + 24x + 38

Step-by-step explanation:

Find two integers having a product of positive 27 and a sum of negative 12.

Answers

I know you're looking for an answer but i'm doing a challenge where i have to answer 10 questions by the end of today, I'm sorry! :(

A kite string is 100 feet long from the kite to the ground. The string makes a 45° angle with the ground
About how high off the ground is the kite? Leave your answer as a simplified radical

Answers

Answer:

It's not very high

Step-by-step explanation:

The angle that the string and the ground maje, is acute, because it's smaller than a right angle. So, since it is an acute angle, it's not very high. It is about 30cm high.

Does the budgeted amount cover the actual amount for expenses, savings, and emergencies?
A)
No, it's short $207.00,
No, it's short $227,00,
o
Yes, there's a surplus of $207.000
D)
Yes, there's a surplus of $227.00,

Answers

Answer:

No its short 207

Step-by-step explanation:

Took the test on UsaTestPrep got it right :)

Bye loves <3

Answer:

the one b4 is wrong its a surplus of 207 .-.

Step-by-step explanation:

this is correct usatestprep also lol

help pls first correct answer gets brainleist ​

Answers

Answer:

18

Step-by-step explanation:

a^2 + b^2 = c^2

in this case 24 is a and 30 is c

24^2 = 576

30^2 = 900

900 - 576 = 324

the square root of 324 is 18

The space shuttle carries c pounds of cargo, and each piece of cargo weighs 212.66 pounds. Which of the following expressions represents the number of pieces of cargo?

Answers

Answer:

The answer would be B. c ÷ 158.14

Step-by-step explanation:

i just took this test :) the question was:

The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds. Which of the following expressions represents the number of pieces of cargo The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds? Which of the following expressions represents the number of pieces of cargo?

A. c × 158.14

B. c ÷ 158.14

C. c - 158.14

D. c + 158.14

How many cards are in each pack? There are __ cards in each pack

Answers

Answer:

there are 52 cards in each pack

Answer:

52.

Step-by-step explanation:

A deck of cards have 52 cards.

x = y - 4
-2x + 3y= 6
Solve each system by equation

Answers

Answer:

Point form=(-6,-2)

Equation Form= x=-6, y=-2

Step-by-step explanation:

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