Solve for x using common denominators. 4/7 (x+6) = x/(x+6)​

Answer:

y=4x-9

Step-by-step explanation:

-9=y intercept

up 4 over 1

4/1=4

slope =4

Coordinate of circumcenter of the given triangle = (3, 2)

What is circumcenter of a triangle?

Circumcenter of a triangle is the point of intersection of the perpendicular bisectors of every sides of the triangle.

Let the coordinate of circumcenter be (x , y)

Distance of Circumcenter from (4,2) =

\(\sqrt{(x - 4)^2 + (y-2)^2\)

Distance of Circumcenter from (3, 3) =

\(\sqrt{(x - 3)^2 + (y-3)^2\)

Distance of Circumcenter from (2,2) =

\(\sqrt{(x - 2)^2 + (y-2)^2\)

By the problem,

\(\sqrt{(x - 2)^2 + (y-2)^2} = \sqrt{(x - 3)^2 + (y-3)^2}\\(x - 2)^2 + (y-2)^2} = (x - 3)^2 + (y-3)^2}\\x^2 - 4x + 4 + y^2 -4y + 4 = x^2 -6x + 9 + y^2-6y + 9\\6x - 4x +6y -4y = 18-8\\2x +2y = 10\\x+ y = 5\\\)..... (1)

Again,

\(\sqrt{(x - 4)^2 + (y-2)^2} = \sqrt{(x - 3)^2 + (y-3)^2}\\(x - 4)^2 + (y-2)^2} = (x - 3)^2 + (y-3)^2}\\x^2 - 8x + 16 + y^2 -4y + 4 = x^2 -6x + 9 + y^2-6y + 9\\8x - 6x +4y -6y = 20-18\\2x -2y = 2\\x- y = 1\\\)...... (2)

Adding (1) and (2)

\(2x = 6\\x = \frac{6}{2}\\x = 3\)

Putting the value of x in (1),

3 + y = 5

y = 5 - 3

y  = 2

Coordinate of circumcenter = (3, 2)

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If the average velocity is doubled in turbulent flow through a square channel with smooth surfaces, the change in the head loss of the fluid can be determined by considering the relationship between the head loss and the friction factor. The correct answer is: The head loss decreases by a factor of 3.48.

The head loss in a fluid flow is proportional to the friction factor, and the friction factor is dependent on the average velocity. When the average velocity is doubled, the friction factor can be calculated using the given equation. By substituting the new velocity into the equation, we find that the new friction factor is approximately 0.184 * (2)^(-0.2) = 0.116.

Since the head loss is proportional to the friction factor, when the friction factor decreases from 0.184 to 0.116, the head loss decreases by a factor of 0.116/0.184 ≈ 0.631 or approximately 3.48. Therefore, the head loss decreases by a factor of 3.48.

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If the average velocity is doubled in turbulent flow through a square channel with smooth surfaces, the change in the head loss of the fluid can be determined by considering the relationship between the head loss and the friction factor. The correct answer is: The head loss decreases by a factor of 3.48.

The head loss in a fluid flow is proportional to the friction factor, and the friction factor is dependent on the average velocity. When the average velocity is doubled, the friction factor can be calculated using the given equation. By substituting the new velocity into the equation, we find that the new friction factor is approximately 0.184 * (2)^(-0.2) = 0.116.

Since the head loss is proportional to the friction factor, when the friction factor decreases from 0.184 to 0.116, the head loss decreases by a factor of 0.116/0.184 ≈ 0.631 or approximately 3.48. Therefore, the head loss decreases by a factor of 3.48.

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Answer:

90%

Step-by-step explanation:

cost price of both tv = 2500

sale price of undamaged = 3000

sale price of damaged = 2200

sale price of both tv = 5200

profit = sale price - cost price

profit = 5200 - 2500

profit = 2700

profit percentage = profit × 100 ÷ cost price

profit percentage = 2700 × 100 ÷ 2500

profit percentage = 90%

The value of x is 12.

Value is a concept that is often used to describe the worth of a person, object, or idea. It is an abstract concept that can be measured in many different ways, such as monetary worth, emotional value, or the importance of something to someone. Value is subjective, as it can vary from person to person, and is ultimately based on individual preference. Generally, the worth of something is determined by how much a person is willing to pay for it or how much they are willing to sacrifice to obtain it.

Given equation:

5x + 12 = 72

To find the value of x, first subtract 12 from both sides of the equation:

5x + 12 - 12 = 72 - 12

5x = 60

Now divide both sides of the equation by 5:

5x/5 = 60/5

x = 12

Therefore, the value of x is 12.

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Answer:

(5, 20)

Step-by-step explanation:

(5, 20) is the only ordered pair which falls on the line

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

We have

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

\(A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: \)

To find A(50) substitute the value of n that's 50 into the formula above

\(A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244\)

Hope this helps you

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

where a is the first term

n is the number of terms

d is the common difference

From the question

To find the common difference subtract the previous term from the next term

Therefore d = 5

Substitute the values into the general formula

That's

\(A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6\)

To find A(50) substitute the value of n that's 50 into the formula above

\(A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244\)

Answer: 16 questions

Step-by-step explanation:

To find how many problems the student correctly answered on the test, we can turn 80% into a fraction.

\(\frac{80}{100} =\frac{16}{20}\)

The student answered 16 questions correctly.

The value of (0.3)^4 is 0.0081.

Unless you mean 0.3*4, then it is 1.2.

Answer:

16

Step-by-step explanation:

Multiply it by 1/3 and it equals 16

Answer:

16

Step-by-step explanation:

48/3=16

Answer:

if x>0 and y=0 the point is located on the x-axis

Answer:

x-axis on the right side

Step-by-step explanation:

the point (x,y) located on the x-axis

example x=1, y=0

Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

Answer:

Step-by-step explanation:

You want a set of inequalities, their graph, and a possible solution that represents the constraints on Morgan's working two jobs. Morgan earns $20 for each hour (x) spent tutoring, and $12 for each hour (y) clearing tables. Her total hours must not exceed 16, and her total earnings must be at least $240.

The limit on total hours can be expressed as ...

  x + y ≤ 16

The requirement on earnings can be expressed as ...

  20x +12y ≥ 240

A graph of the inequalities is attached. The values given lend themselves to graphing using the intercepts of each boundary line. These are found by setting one variable to zero and solving for the other.

  x + y = 16 . . . . x-intercept = 16; y-intercept = 16

  20x +12y = 240 . . . . x-intercept = 240/20 = 12; y-intercept = 240/12 = 20

The first inequality is shaded below the (solid) line, and the second inequality is shaded above the line.

Each of the vertices marked on the graph is a possible solution, as are any points in the doubly-shaded area: (10, 5) for example.

__

Additional comment

The second inequality can be "reduced" by removing a factor of 4 from each number:

  5x +3y ≥ 60

This inequality has the same graph as the original. It might be said to be in "standard form" (with mutually prime coefficients), but the relationship between the coefficients and the values in the problem is lost.

Answer:

Step-by-step explanation:

Answer:

A 4,320

Step-by-step explanation:

6*2=12

12*3=36

36*4=144

144*5=720

720*6=4,320

As the volume of the sphere is decreasing at a constant rate of 3 cm³/s, the radius of the sphere is 0.98 cm

The volume of the sphere is given by:

V = 4/3. πr³

Where:

r = radius.

Take the derivative with respect to t

dV/dt = 4. πr² dr/dt

Data from the problem:

dV/dt = 3 cm³/s

dr/dt = 0.25 cm/s

Plug these parameters into the equation:

3 = 4. πr² (0.25)

πr² = 3

r² = 3/π

r = sqrt (3/π) = 0.98 cm

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Answer:

0.08

Step-by-step explanation:

The total number of spins recorded is:

19 + 15 + 9 + 4 + 4 = 51

The probability of landing on purple on the next spin is:

4/51 ≈ 0.08 (rounded to the nearest hundredth)

Therefore, the probability that the next spin will land on purple as a decimal to the nearest hundredth is 0.08.

The cost of the car, rounded to the nearest cent, is $54,759.33.

To calculate the cost of the car, we need to consider the monthly payments and the down payment made by Morgan.

First, let's calculate the total amount paid over the 6-year lease. Morgan makes monthly payments of $889.72 for 6 years, which is a total of 6 x 12 = 72 payments.

To find the future value of these payments, we can use the formula for the future value of an ordinary annuity:

FV = PMT x [(1 + r)^n - 1] / r,

where FV is the future value, PMT is the monthly payment, r is the interest rate per compounding period, and n is the number of compounding periods.

In this case, the monthly payment PMT is $889.72, the interest rate r is 5.60% (or 0.056 as a decimal), and the number of compounding periods n is 72 (6 years x 12 months).

Let's calculate the future value:

FV = $889.72 x [(1 + 0.056)^72 - 1] / 0.056

Calculating this using a calculator or spreadsheet, the future value is approximately $58,259.33.

Now, let's subtract the down payment of $3,500 from the future value:

Cost of the car = Future value - Down payment
               = $58,259.33 - $3,500
               = $54,759.33

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Answer:

a = 9 + 6

Step-by-step explanation:

The subtraction equation we are given is a - 9 = 6

To get a version with the addition sign that means the same thing, all we have to do is to add 9 to both sides of the equals to sign.

This is because whenever you want to add an arbitrary value to cancel out figures in an equation, you have to perform such an operation to both sides of the equation so that the equation will still remain balanced.

This will give us.

a - 9 + 9 = 6 + 9

from this, we can see that -9 + 9 = 0

Hence, a = 6 + 9

This equation above means the same thing as the first.

To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.

The common difference is the constant value that is added or subtracted to each term to get to the next term.

In this case, we can find the common difference by subtracting the fourth term from the seventh term:

d = a₇ - a₄

d = 31 - 19

d = 12

Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:

aₙ = a₁ + (n - 1)d

In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.

Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:

a₄ = a₁ + (4 - 1)d

19 = a₁ + 3(12)

19 = a₁ + 36

a₁ = 19 - 36

a₁ = -17

Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:

aₙ = -17 + (n - 1)(12)

Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).

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Answer:

Common Difference is subtracting 6

Step-by-step explanation:

Answer:

120km per hour

Step-by-step explanation:

speed = distance x time (use formula)

so speed = 4 x 30 = 120

hope it helps

Answer:

8hours per 120 Kilometers  

Answer:

yes

Step-by-step explanation:

11 is greater than or equal to 3

plz mark brainliest

Answer:

yes

Step-by-step explanation:

it has to be greater than or equal to 3 so therefore 11=n is correct because it is greater than 3

Answer:

Answer:

The principal, real, root of:

9–√2

=3

All roots:

3

−3

9 is a perfect square

Answer:

The principal, real, root of:

25−−√2

=5

All roots:

5

−5

25 is a perfect square

Step-by-step explanation:

the first one is for the 9 and the second one is for the 50

The probable reason that 37 runners broke the four-minute mile barrier within one year after Roger Bannister originally did in 1954 was due to the psychological barrier being broken.

Before Bannister's accomplishment, many believed that running a mile under four minutes was impossible for a human being. However, once Bannister proved it could be done, it changed people's beliefs about what was possible and opened up new possibilities.

This change in belief and perception likely inspired other runners to push themselves harder and believe that they too could achieve this feat, leading to a rapid increase in the number of people breaking the four-minute mile barrier. Additionally, advances in training techniques and equipment may have also played a role in this increase.

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Answer:

-2,-8

Step-by-step explanation:

-2-8 = -10

-2*-8= 16

Answer:

-2 and -8

Step-by-step explanation:

1. First, let's find the factors of 16: 1, 2, 4, 8, 16.

2. Now, we have to find with factors add up to -10.

3. Great! Now that we found the two numbers that add to -10 and multiply to 16, the numbers are -2 and -8.

Answer:

c=7

Step-by-step explanation:

−5c+5=4c−58

Subtract 4c from both sides.

−5c+5−4c=4c−58−4c

−9c+5=−58

Subtract 5 from both sides.

−9c+5−5=−58−5

−9c=−63

Divide both sides by -9.

-9c/-9= -63/-9

c=7

Answer:

C

Step-by-step explanation:

Answer:

Answer C

Step-by-step explanation: