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

Answer:

-7y

Step-by-step explanation:

Step-by-step explanation:

I think you are missing the square root signs or so in the answer options.

the distance between 2 points is calculated by using Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse of the triangle and the distance between the points, which are the end points of the Hypotenuse.

a and b are the legs and enclose the 90 degree angle. they are the differences of the x and y coordinates between the 2 points.

so,

distance² = (1 - -7)² + (6 - 3)² = 8² + 3² = 64+9 = 73

=>

distance = sqrt(73)

Answer:

Help with what?

Step-by-step explanation:

Answer:

Step 1: Box A

Step 2: Box C

Step 3: Box A

Step 4: Box B

Step-by-step explanation:

Kellurz, this is the solution:

2x + 3y = 10

4x + By = 20

____________

Isolating x in the first equation:

2x + 3y = 10

2x = 10 - 3y

Dividing by 2:

2x/2 = (10 - 3y)/2

x = (10 - 3y)/2

Substituting x and solving for y in the second equation:

4x + By = 20

4 * (10 - 3y)/2 + By = 20

40 - 6y + By = 20

-6y + By = 20 - 40

-6y + By = -20

Now, we can solve for B, using the following ratios:

2/4 = 3/B = 10/20

1/2 = 3/B = 1/2

1/2 = 3/B

B = 6

Answer:

No question.

Step-by-step explanation:

The -2/3 is an  integer and rational number.

It is required to choose the number.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given:

-2/3 is an integer and rational number.

The square root of 25 is 5 is an Natural numbers, whole number, integer, and rational number.

Natural numbers are positive whole numbers (1, 2, 3, 4, 5, ...)

Whole numbers are positive numbers start with  zero  (0, 1, 2, 3,...)

Integers are positive and negative whole numbers or zero (..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...)

Rational numbers include all integers as well as positive or negative numbers that have fractional parts ( -2.0, -3/4, 0.25, 2.1, 5, etc.)

Irrational numbers are numbers that can not be written as a simple fraction.  Its decimal goes on forever without repeating (π = 3.14159....)

5 is a natural number, whole number, integer, and rational number.

Therefore, the -2/3 is an  integer and rational number.

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The probability that someone who passed the test did so on the third attempt is approximately 0.298

Let P1, P2, and P3 be the probabilities of passing the test on the first, second, and third attempts, respectively.

We are given that P1 = 0.30, P2 = 0.55, and P3 = 0.15.

Using Bayes' theorem to find the probability that someone who passed the test did so on the third attempt:

P(P3 | pass) = P(pass | P3) * P(P3) / P(pass)

The P(pass) is the probability of passing the test, which is the sum of the probabilities of passing on each attempt:

P(pass) = P1 + (1 - P1) * P2 + (1 - P1) * (1 - P2) * P3

P(pass) = 0.30 + 0.70 * 0.55 + 0.70 * 0.45 * 0.15

P(pass) = 0.5025

P(pass | P3) is the probability of passing the test given that it is the third attempt, which is simply P3:

P(pass | P3) = P3 = 0.15

Therefore, we can plug in the values and solve for P(P3 | pass):

P(P3 | pass) = 0.15 * P3 / P(pass)

P(P3 | pass) = 0.15 / 0.5025

P(P3 | pass) = 0.298

So the probability that someone who passed the test did so on the third attempt is approximately 0.298, or 29.8%.

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Answer:

110

Step-by-step explanation:

110/5 = 22

22 - 11 = 11

Answer:

5323

Step-by-step explanation:

453

Answer:

The answer is below

Step-by-step explanation:

A football team scored 3 touchdowns, 3 extra points, and 4 field goals.  

a. Write an expression to represent the total points the football team scored.  

b. Write another expression that is equivalent to the one written above.  

c. If each touchdown is worth 6 points, each extra point is 1 point, and each field goal is 3 points, how many total points did the team score?  

Solution:

a) Let t represent the number of points for a touchdown, e represent the number of points for the extra point and f represent the number of points for a field goal.

Total points = 3(t) + 3(e) + 4(f) = 3t + 3e + 4f

b) Total points = 3t + 3e + 4f   OR

Total points = t + t + t + e + e + e + f + f + f + f  OR

Total points = 3(t + e) + 4f

c) Total points = 3(t + e) + 4f = 3(6 + 1) + 4(3) = 3(7) + 4(3)

Total points = 21 + 12 = 33 points

The sum of the points the team has from different point gaining options

give the total number of points the team scores.

Reasons:

The number of touchdowns by the football team, t = 3

Number of extra points by the football team, e = 3

Number of field goals by the team, f = 4

Therefor, the total number of points, P = 3·t + 3·e +4.f

The specified editor is an equation editor, which can be used to write mathematical equations.

Using an equation editor, we have;

\(\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f\)

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The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Answer:

0.41666666666

Step-by-step explanation:

Answer:

The value is 5/12

Answer:

I hope it will help you.......

Answer: the answer is B—>165.89

Try all numbers 9-13 ( including 9 and 13 ) multiplies by 14.99

When you multiply 11x14.99 it equals 164.89 not 165.89 meaning B is wrong

Jesse's train is faster than Khalid's since 150 is greater than (>) 140 and she is traveling at 150 mph as opposed to 140 mph.

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change. Draw a sloping triangle connecting the two spots you find on the line.

According to the graph, the climb is 140 and the run is 1.

Since 140/1 equals 140, Khalid's slope is 140.

The slope is 150 according to the equation (y = 150x; y = mx).

Jesse's train is faster than Khalid's since 150 is greater than (>) 140 and she is traveling at 150 mph as opposed to 140 mph.

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Complete Question -

The probability that a randomly selected member of the US labor force was unemployed in 2011 was approximately 0.087 or 8.7%.

This can be calculated by dividing the number of unemployed individuals in the labor force by the total number of individuals in the labor force. According to the US Bureau of Labor Statistics, there were 13.9 million unemployed individuals in the US labor force in 2011, out of a total labor force of 159.7 million. Dividing 13.9 million by 159.7 million gives a probability of approximately 0.087, or 8.7%.

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Answer:

I THINK ITS 30

Step-by-step explanation:

36 litres 180 millilitres

Hope this helps!

Answer:

The answer is 161

Step-by-step explanation:

In order to get the answer you ahve to multiply 175 by 0.08 then subtract 14 from 175

The interest rate charged by the bank. Based on this, he can plan his finances accordingly and pay back the loan on time

Francis owes a bank the amount D 2 4 ​ 2. When a person borrows a loan from a bank, he/she has to pay back the principal amount along with the interest charged on the amount borrowed. Interest is charged on the principal amount, and it is calculated as a percentage of the amount borrowed or the principal amount.

Interest is paid to the bank or the lender for using their money.Francis borrowed D242 from a bank, and it is unclear if the amount is a principal amount or a total amount (which includes interest). But assuming it is a principal amount, Francis has to repay D242 to the bank along with the interest charged by the bank.

The interest rate charged by banks differs depending on various factors such as loan tenure, credit score of the borrower, nature of the loan, etc.The borrower is responsible for paying back the loan on time to avoid getting into further debt and to maintain a good credit score. If the borrower defaults on paying back the loan, then the bank or the lender has the legal right to take legal action against the borrower and seize his/her assets to recover the debt.Francis needs to check his loan agreement to determine the loan amount (principal amount or total amount)

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Answer:

A

Step-by-step explanation:

i stands for square root of negative 1. If you multiple i and square root of 23 you will end up with the original

5 flight attendants are required.

The number of flight attendants required on an aircraft is determined by regulatory agencies such as the Federal Aviation Administration (FAA) in the United States and the European Aviation Safety Agency (EASA) in Europe.

The number of flight attendants depends on several factors, including the type of aircraft, the number of passenger seats, the length of the flight, and the number of passenger exits.

The number of flight attendants required can be determined by the following formula:

The minimum number of flight attendants = (N / 50) + 1 where N is the number of passenger seats.

So, for an aircraft with 275 seats and 249 passengers:

(249 / 50) + 1

= 5 flight attendants are required.

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The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer:

Step-by-step explanation:

To make p the subject of the formula y = 3p²-4, we need to isolate p on one side of the equation. Here’s how we can do it:

y = 3p²-4

Add 4 to both sides of the equation:

y + 4 = 3p²

Divide both sides by 3:

(y + 4) / 3 = p²

Take the square root of both sides:

±√[(y + 4) / 3] = p

Therefore, p is equal to ±√[(y + 4) / 3].

I hope this helps! Let me know if you have any other questions.

Interest earn is $6,371.45 ≅ $6,370 (round to the nearest cent)

To receive as return for effort and especially for work done or services rendered. : to bring in by way of return.

When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest. A = P is the compound interest formula.

A = P\((1 + r/n)^{nt}\)

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

$530 for 9 years at 33% interest each year using the compound interest formula, where t = number of time periods elapsed

A = P\((1 + r/n)^{nt}\)

A= 530 (1 + 0.33/1)^9

A = $6,901.45

So to find interest I = A-P

I = $6901.45 -$530

I =  $6,371.45

Interest earn is $6,371.45 ≅ $6,370 (round to the nearest cent)

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Answer:

Step-by-step explanation:

x=0 and y=-2

Step-by-step explanation:

Let's use "x" to represent the number of chocolate cakes sold and "y" to represent the number of vanilla cakes sold.

From the problem statement, we know that the bakery sold a total of 50 cakes, so we can set up an equation:

x + y = 50

We also know that the total sales were $200. If the chocolate cakes sold for $5 each and the vanilla cakes sold for $3 each, we can set up another equation for the total sales:

5x + 3y = 200

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y in terms of x:

y = 50 - x

Substituting this expression for y into the second equation, we get:

5x + 3(50 - x) = 200

Simplifying this equation, we get:

2x + 150 = 200

2x = 50

x = 25

So the bakery sold 25 chocolate cakes. To find the number of vanilla cakes sold, we can substitute x = 25 into the equation y = 50 - x:

y = 50 - 25

y = 25

So the bakery also sold 25 vanilla cakes.

Therefore, the bakery sold 25 chocolate cakes and 25 vanilla cakes.

For the equation:

The slope is

And the y-intercept is (0,-4)

Since the two lines does not have the same slope, they are not parallel.

Since the product of the slope of the two lines is not equal to -1, they are not perpendicular.

The slopes are neither equar nor opposite reciprocals.