For the right triangles below, find the exact values of the side lengths and .
If necessary, write your responses in simplified radical form.

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Answer:Option C J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Step-by-step explanation:

we know that

The rule of the translation is

(x,y) -----> (x-4,y+4)

That means ----> The translation is 4 units at left and 4 units up

Find out the coordinates of the pre-image

Observing the figure

J(1,0),N(5,0),M(5,-3),P(2,-5)

Find out the coordinates of the image

Applying the rule of the translation at the coordinates of pre-image

J(1,0) -----> J'(1-4,0+4)

J(1,0) -----> J'(-3,4)

N(5,0) ---> N'(5-4,0+4)

N(5,0) ---> N'(1,4)

M(5,-3)----> M'(5-4,-3+4)

M(5,-3)----> M'(1,1)

P(2,-5) ----> P'(2-4,-5+4)

P(2,-5) ----> P'(-2,-1)

therefore

The coordinates of the image (after the transformation) are

J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Answer:

:Option C J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Step-by-step explanation:

My pleasure to help people

Answer:

If g(x) = f(x) + k, what is the k value?

The answer The value of k is 6

Answer: False.

Step-by-step explanation: Music in a video game could always be turned off. Also, if you're into the gameplay itself, you shouldn't be focused on the music.

Answer:

Undefined it looks like, if not,  it is zero.

Step-by-step explanation:

:>

Answer: 1 Minute & 30 Seconds

Step-by-step explanation: We can write a ratio to help determine the amount of time it will take for Ms. Bell and Olaiya to catch up to each other.

The ratio 20:60 shows that for every 20 miles Ms. Bell runs, Olaiya will run 60 miles per minute.

We can add up the total miles per minute they both run in the ratios below;

10:30 | 10 + 30 = 40 total miles in half a minute, 30 seconds

20:60 | 20 + 60 = 80 total miles in 1 minute

40:120 | 40 + 120 = 160 total miles in 2 minutes

The distance between Ms. Bell and Olaiya is 120 feet, which is a minute and half of a distance.

Answer:

10.5

Step-by-step explanation:

Missing number, 9.8, 9.1

We see that each time it subtracts 0.7

We take

9.8 + 0.7 = 10.5

So, the missing number is 10.5

Answer: go to desmo graphing calculator and type in each one this you get the correct answer .

Step-by-step explanation:

Answer: B

Reason: y is greater than x which is (0,0) and since y is greater than, you shade above. And y is less than 4, so you shade below as you can tell the y coordinate is y = 4 horizontally, and if it was an x > 4 it would be vertically shaded above.

Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

Answer:

6

Step-by-step explanation:

\(\frac{24-x}{x}=3 \\ \\ 24-x=3x \\ \\ 24=4x \\ x=6\)

Answer:

5.25

Step-by-step explanation:

Let the number be x. The equation is:

24 - x / x = 3

We can rearrange this equation to solve for x:

24 - x = 3x

21 = 4x

x = 21/4

x = 5.25

So the value of the number is 5.25.

Answer:

7

Step-by-step explanation:

7 is shown the most out of the 5 numbers

Answer:

7

Step-by-step explanation:

this because they show 7 3 times

Hello!

\(\large\boxed{80 \text{ cookies}}\)

To find the amount of cookies sold, we will need to divide the cost of each cookie from the total raised. Therefore:

Let c = cookies sold

60 = 0.75c

Divide both sides by 0.75:

60 / 0.75 = c

c = 80 cookies.

Answer:

x +6

Step-by-step explanation:

divide entire equation by 4

Answer:

Hey! your answer should be A. 6 and 8

Step-by-step explanation:

I've attatched an image of what corresponding angles look like. Your best choice would be A

Answer:

Step-by-step explanation:

The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.

To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.

So, the growth rate of the investment is:

1.035 - 1 = 0.035

0.035 * 100 = 3.5%

Therefore, the growth rate of the investment is 3.5%.

Answer:

\(\dfrac{11^{-4}}{11^8}=\dfrac{1}{11^{12}}\)

Step-by-step explanation:

Apply exponent rule:   \(a^{-b}=\dfrac{1}{a^b}\)

\(11^{-4}=\dfrac{1}{11^4}\)

\(\implies \dfrac{11^{-4}}{11^8}=\dfrac{1}{11^8 \cdot 11^4}\)

Apply exponent rule:  \(a^b \cdot a^c=a^{b+c}\)

\(\implies \dfrac{1}{11^8 \cdot 11^4}=\dfrac{1}{11^{(8+4)}}\)

\(\implies \dfrac{1}{11^{(8+4)}}= \dfrac{1}{11^{12}}\)

Answer:

-2/45

Step-by-step explanation:

2/9 + (-4/15) =

= 2/9 - 4/15

The LCD is 45.

= 2/9 * 5/5 - 4/15 * 3/3

= 10/45 - 12/45

= -2/45

Answer: 92 cm

Step-by-step explanation:

Your first step should be to solve for variables. Usually when finding unknown lengths or widths for perimeter, we use L & W to solve for length and width. You're already given 16 for the width of the rectangle. Perimeter: (L+L+W+W). Now we solve for length. Do 34 squared - 16 squared to get the missing length. 1156-256=900. Find the square root of 900 and now you have your length (30). Now you just add all the values up. 30+30+16+16=P. Therefore, the perimeter should equal 92. :)

Answer:

x = -5

Step-by-step explanation:

Answer:

  x = -5

Step-by-step explanation:

You want the solution to the equation 2x -10 = 4x.

Subtracting 2x from both sides gives ...

  -10 = 2x

Dividing both sides by 2 gives ...

  -5 = x

The solution is x = -5.

__

Additional comment

When all of the coefficients have a common factor, sometimes we like to divide the equation by that factor. Here, all of the coefficients are even, so we can start by dividing the equation by 2:

  x -5 =2x

Now subtracting x gives the solution:

  -5 = x

It still takes 2 steps, so the approach you take will be the one you're most comfortable with.

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Answer:

27

Step-by-step explanation:

3x + 9 = 90

3x = 90 - 9

3x = 81

x =27

Answer: 95  minutes

Step-by-step explanation: 205-110=95

Answer:

205-110=90

Step-by-step explanation:

I helped my brothers on this question

Answer: 0.3125.

Step-by-step explanation:

Outcome 1: all boys

boy  boy  boy  boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 2: first child is a girl, all others are boys

girl   boy   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 3: second child is a girl, all others are boys

boy   girl   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 4: third child is a girl, all others are boys

boy   boy   girl   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 5: fourth child is a girl, all others are boys

boy   boy   boy   girl

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Therefore,

0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125

The expression N(s) models the number of students that got a score "s" on the quiz.

Then the expression N(8) represents the number of students that scored 8 on the quiz.

And N(5) represents the number of students that scored 5 on the quiz.

Can be read as: "The number of students whose score on the quiz was 8 is greater than the number of students whose score on the quiz was 5"

Therefore, you can conclude that there were more students who scored 8 than students who scored 5. (option 2)

The equivalenet expression is 54\(n^{-11}\)

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.

Starting with:

(\(6n^-5\))(\(3n^-3\))²

We can simplify as follows:

(\(6n^-5\))(\(9n^-6\))

Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.

Therefore:

6 x 9 = 54

\(n^-5 * n^-6 = n^-11\)

So the simplified expression is:

\(54n^-11\)

Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)

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The expression that is equal to (6n-5)(3n-3) option D, 54n11.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:

(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)

                 = 18n² - 18n - 15n + 15

                 = 18n² - 33n + 15

Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.

So, the answer is option D, 54n11.

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The annual cost of the store for the garden chairs will be 2700x + 1200

The annual profit will be 12x² + 300x - 1200

From the information, the company manufactures garden chairs for a hardware store and the cost to the store per month for garden chairs is $225x where x is the number of chairs and the monthly delivery is a fixed rate of $100 for the store.

The annual cost of the store for the garden chairs will be:

12(225x + 100)

= 2700x + 1200

The monthly revenue of the store from sales of the garden chairs is $250x + x². The annual profit to the store for the garden chairs will be:

Revenue- Cost

= 12(250x + x²)

= 3000x + 12x²

The profit will be:

= 3000x + 12x² - ( 2700x + 1200)

= 12x² + 300x - 1200

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