Find the length of the third side. If necessary, write in simplest radical form: Find the length of the third side. If necessary, write in simplest radical form:

The truth value of the given statements if the universe of discourse of each variable is the set of real numbers are 1. false, 2. false, 3. true, 4. false, 5. false, 6. false, 7. true, 8. true, 9. false, 10. true, 11. true, and 12. true.

1. False. There is no real number x such that x^2 = -1.

2. False. For any x in the real numbers, there exists a y such that xy ≠ 1. For example, if x ≠ 0, then y = 1/x will satisfy xy ≠ 1.

3. True. For any real number x, the real number y = x^2 satisfies the equation x^2 = y.

4. False. For any x and y in the real numbers, x + y = y + x.

5. False. For any x in the real numbers, there exists a y such that xy ≠ 0. For example, if x ≠ 0, then y = 1/x will satisfy xy ≠ 0.

6. False. There is no real number y such that y^2 = -1.

7. True. For any x and y in the real numbers, the real number z = x + y^2 satisfies the equation z = x + y^2.

8. True. For any x ≠ 0 in the real numbers, the real number y = 1/x satisfies the equation xy = 1.

9. False. There is no real number x such that x^2 = 2.

10. True. For any x in the real numbers, the real number y = 1 - x satisfies the equation x + y = 1.

11. True. The solution to the system of equations x + 2y = 2 and 2x + 4y = 5 is x = -1 and y = 3.

12. True. For any x in the real numbers, the real number y = (1 - x)/2 satisfies the equation (x + y = 2) and (2x - y = 1).

To know more about real numbers, here

https://brainly.com/question/2742555

#SPJ4

Answer:

\(\frac{-4}{x^5y^13}\)

Step-by-step explanation:

Answer:

Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Step-by-step explanation:

What do we know:

What are we solving for;

Equation would be:

So for Jaden to buy a $290 bike, y would have to be replaced with 290, and solve for x;

=> 290 = 25x + 140

=> 290 - 140 = 25x

=> 150 = 25x

=> 150 / 25 = x

=> 6 = x

Therefore, Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Hope this help!

To cancel the account, contact customer support and provide necessary details. Verify ownership, request cancellation, follow instructions, and keep confirmation of cancellation.

1. Contact customer support: Reach out to the customer support team of the service provider through their official channels. Look for their contact information on their website or in the account settings section.

2. Provide necessary details: When contacting customer support, explain the situation and provide any required information, such as the account username, email address, or any other identifying details associated with the account.

3. Verify ownership: The customer support team may ask for verification to ensure that you are the rightful owner of the account. Be prepared to provide any necessary documents or proof of ownership.

4. Request cancellation: Clearly state your intention to cancel the account and ask the customer support representative to assist you with the process. They will guide you through the necessary steps to close the account.

5. Follow instructions: Carefully follow any instructions provided by the customer support representative to complete the cancellation process. This may involve confirming your decision through an email or clicking on a cancellation link.

6. Confirmation of cancellation: After completing the cancellation steps, you should receive a confirmation email or notification from the service provider indicating that the account has been successfully canceled. Keep this confirmation for future reference.

Remember to keep any relevant documentation or communication related to the cancellation process in case you need it for reference or to resolve any potential issues that may arise.

For more such questions on account, click on:

https://brainly.com/question/24031039

#SPJ8

Combining like terms to simplify the expression 10x + x + 8 will be 11x + 8.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

In this case, combining like terms to simplify the expression 10x + x + 8 will be:

= 10x + x + 8

= 11x + 8

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Complete question

If possible combine like terms to simplify the following expression.

10x + x + 8

Answer:

-53/105

Step-by-step explanation:

use 420 as the common denominator

30/70 = 180/420

56/60 = 392/420

180/420 - 392/420 = -212/420

Use 4 as the GCF (greatest common factor) to simplify the fraction

-212/420 = -53/105

Answer:

\( \sf \: \frac{ - 53}{ \: 105} \)

Step-by-step explanation:

Given problem,

\( \sf \rightarrow \: \frac{30}{70} - \frac{56}{60} \)

Let's solve the given problem,

\( \sf \rightarrow \: \frac{30}{70} - \frac{56}{60} \)

\( \sf \rightarrow \: \frac{(30) \times 6}{(70) \times 6} - \frac{(56) \times 7}{(60)\times 7} \)

\( \sf \rightarrow \: \frac{180}{420} - \frac{392}{420} \)

\( \sf \rightarrow \: \frac{(180 - 392)}{420} \)

\( \sf \rightarrow \: \frac{ -212 \: }{ \: 420} \)

\( \sf \rightarrow \: \frac{ - 53}{ \: 105} \)

Hence, the answer is -53/105.

The total amount of money that Marco has that week would be = $ d + 14.55.

An allowance income is defined as the amount of money an individual earns that can be used to solve their personal needs.

Marco received double payment, an allowance from the mother and from newspaper route.

The total amount of money received from his mother for allowance for that same week = $ d

The amount of money he earned from his newspaper = $14.55

Therefore the total amount of money Marco has that week =$ d + 14.55

Learn more about addition here:

https://brainly.com/question/25421984

#SPJ1

Complete question:

Marco's mom gave him d dollars for his allowance one week. He also earned \$14.55$14.55dollar sign, 14, point, 55 for his newspaper route that week.

How much money does Marco have?

Write your answer as an expression.

The correct option is- A. graph of two lines with the intersecting point at (negative 1, 1).

On a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.

Given system of equations:

y + 2x = −1  ...eq 1

3y − x = 4 ..eq 2

multiply eq 2 with 2 and add to eq 1

6y − 2x = 8 ..eq 3

6y − 2x + y + 2x = 8 - 1

7y = -7

x = -1

Now,

y + 2x = −1

y + 2(-1) = −1

y = -1 + 2

y = 1

Thus, the solution of the given system of equations. y + 2x = −1 and 3y − x = 4 is found as :(-1, 1).

The graph for the equations are attached.

Know more more about the intersecting lines:

https://brainly.com/question/28744045

#SPJ1

Correct question:

Choose the correct graph of the given system of equations. y + 2x = −1 and 3y − x = 4 .

Group of answer choices :

A. graph of two lines that intersect at the point (negative 1, 1)

B. graph of two lines that intersect at the point (1, 1) < Not

C. graph of two parallel lines with positive slopes

D. None of the above

Answer:

12

Step-by-step explanation:

36 divided by 3 = 12

Hope This Helps

Answer:

39 or 12

Step-by-step explanation:

i got 39 by 36+3=39

i got 12 by 3 divided by 36= 12

The cost for one steak burger is $4.5. The price/ The cost of one order of fries is $2.25

Let one steak burger cost $x

and one fries order cost $y

Hence, we have

3x+2y = 18-----------1

2x+3y = 15.75-------2

multiply equation 1 by 2 and equation 2 by 3

6x + 4y = 36 ---------3

6x +  9y = 47.25 ----4

subtraction 4 from 3 we have

0x -5y = -11.25

Divide both sides by -5

y = 11.25/5

y = $2.25

Put y = 2.25 in equation 1 to find x

3x+2(2.25) = 18-----------1

3x + 4.5 = 18

3x = 18 -4.5

3x = 13.5

x = 13.5/3

x = $4.5

Learn more about Algebra here:

https://brainly.com/question/12602543

The arc length of the Archimedean spiral r=θ over the interval [0,2π] is 4π.

To find the arc length of the spiral, we can use the arc length formula for polar curves. The formula is given by:

L = ∫[a,b] √(r^2 + (dr/dθ)^2) dθ

In this case, the equation of the spiral is r = θ. Taking the derivative of r with respect to θ, we have dr/dθ = 1.

Substituting these values into the arc length formula, we get:

L = ∫[0,2π] √(θ^2 + 1) dθ

Evaluating this integral over the given interval, we find that the arc length is 4π.

The Archimedean spiral is a curve that continuously expands outward as the angle θ increases. The arc length represents the total length of the spiral over the interval [0,2π]. In this case, since the spiral starts at θ = 0 and ends at θ = 2π, the total length of the spiral is equal to 4π.

Learn more about derivative here:

https://brainly.com/question/29144258

#SPJ11

Using an exponential function, it is found that 4 mg of the substance would still be left after 32 days.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, considering that the initial amount if of 64 mg, and we are working with half-lifes, the equation is given by:

\(A(t) = 64(0.5)^t\)

32 days is 32/8 = 4 half-lifes, hence the amount remaining in mg is given by:

\(A(4) = 64(0.5)^4 = 4\)

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

$150

Step-by-step explanation:

ok, so first you want to create your equations. let s=shirts, and p=pants. 4s+3p=159, and 3s+2p=113. next you want to get one variable in each equation to be the same. I multiplied the first by 2 and the second by 3 to make the ps the same. now we subtract our equations. (9s+6p=339) - (8s+6p=318) this gives you s=21. Now we put that in to solve for p, it doesnt matter which of the 4 equations. 4(8)+3p=159 = 3p=127 = p=42 1/3. now we just multiply them to find the cost of 5 of each. which is the answer above.

Answer:

4x=-12

Step-by-step explanation:

Let a number = X

So

The product of four and a number is negative twelve

4x=-12

Answer:

add 20 subtract 20 multiply by 3 divide by 3 add 1

Answer:

you

Step-by-step explanation:

ty for th and you can

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

Answer:

9/2

Step-by-step explanation:

Take 3/4 and divide by 1/6

3/4÷ 1/6

Copy dot flip

3/4 * 6/1

18/4

Divide top and bottom by 2

9/2

Answer: B

Step-by-step explanation:

Your original matrix:

1 0

0 1

after dilation

3 0

0 3

after reflection... it only changes sign of y because its reflected across x-axis

3 0

0 -3

B

Alex can make a total of 180 different sandwiches by choosing one kind of meat from 10 options and two kinds of cheese from 9 options.

To determine the number of different sandwiches Alex can make, we need to consider the combinations of meat and cheese. Since Alex can choose one kind of meat from 10 options, there are 10 choices for the meat component of the sandwich. For the cheese component, Alex can choose two kinds of cheese from 9 options.

To calculate the total number of combinations, we can use the formula for combinations without repetition. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of choices. In this case, n is 9 (number of cheese options) and r is 2 (number of cheese choices). Thus, the number of combinations of two kinds of cheese is \(9C2\)= 9! / (2!(9-2)!) = 36.

Learn more about number here:

https://brainly.com/question/3589540

#SPJ11

To draw a rectangular array for 24 x 18 on graph paper, we create a grid with 24 rows and 18 columns.

The partial-products algorithm for multiplying 24 and 18 involves breaking down the multiplication into smaller, manageable steps. The array helps visualize these steps and demonstrates why the algorithm yields the correct answer. Using the array, we start by dividing the 24 x 18 rectangle into smaller squares that represent individual partial products. Each row in the array corresponds to a digit in the multiplier (24), and each column corresponds to a digit in the multiplicand (18). We fill in the array by multiplying the corresponding digits in the multiplier and multiplicand.

For example, the first partial product is obtained by multiplying the rightmost digit of the multiplier (4) by each digit in the multiplicand (8, 1). We place the result, 32, in the corresponding square in the array. Similarly, we calculate the other partial products and place them in the corresponding squares. To find the final product, we sum up all the partial products in the array. In this case, we add up the values in all the squares to get 432, which is the correct answer to 24 x 18.

The array demonstrates why the partial-products algorithm works. By breaking down the multiplication into smaller steps and organizing them in the array, we ensure that each digit in the multiplier is multiplied by each digit in the multiplicand. The array visually represents the distributive property of multiplication, where each digit in one number is multiplied by each digit in the other number. Adding up the partial products gives the total product, ensuring the correct result. The array provides a visual proof of why the partial-products algorithm yields the correct answer to the multiplication problem.

To learn more about rectangular array click here:

brainly.com/question/29199707

#SPJ11

Answer:

see explanation

Step-by-step explanation:

in (1) and (2) use the rule of exponents

\(a^{-m}\) = \(\frac{1}{a^{m} }\) , then

(1)

\(H^{-6}\) = \(\frac{1}{H^{6} }\)

(2)

\(N^{-3}\) = \(\frac{1}{N^{3} }\)

question (3) involves expanding a binomial

(B - 4)²

= (B - 4)(B - 4)

each term in the second factor is multiplied by each term in the first factor, that is

B(B - 4) - 4(B - 4) ← distribute both parenthesis

= B² - 4B - 4B + 16 ← collect like terms

= B² - 8B + 16

Answer:

5 small greeting cards + 2 large greeting cards, it would cost 17.2$

a small greeting card + a large greeting card, 5.9$

dude this is easy, wait is my math right or not?

B. 14.4

Hi there !

Angle Bisector Theorem =>

=> 8.3/6.7 = x/11.6

x = 8.3×11.6/6.7

= 96.28/6.7

= 14.37

≈ 14.4

Good luck !

Answer:

t=18.7

Step-by-step explanation:

After 19.2 year the account reach $45,600.

The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.

We have,

P =$16, 000

R= 5.6%

Future value = $45, 600.

Now, using

16,000 (1 + 5.6%\()^x\) = 45,600

(1 + 5.6%\()^x\) = 2.85

Taking log on both side we get

x log (1.056) = log (2.85)

x= 19.2

Thus, the time taken is 19.2 years.

Learn more about Interest here:

https://brainly.com/question/22739288

#SPJ2

Answer:C

Step-by-step explanation:

Area = 1/2 b h

Area = 1/2 * 9  * 9 = 40.5 sq cm

The area of the right triangle will be 40.5 square cm. Then the correct option is D.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The dimension of the right triangle will be given below.

Height = 9 cm

Base = 9 cm

Then the area of the right triangle will be

Area = 1/2 x 9 x 9

Area = 40.5 square cm

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

No, it is not possible to have V(a+b) = V(a) + V(b) in general, where V denotes the variance of a random variable.

The variance of the sum of two random variables is given by:

V(a+b) = V(a) + V(b) + 2Cov(a,b)

where Cov(a,b) is the covariance between the two random variables. The covariance measures how much the two random variables vary together, and it can be positive, negative, or zero.

In general, the covariance between two different random variables is not zero, so we have:

V(a+b) = V(a) + V(b) + 2Cov(a,b) ≠ V(a) + V(b)

Therefore, it is not possible to have V(a+b) = V(a) + V(b) in general. However, there are some special cases where the covariance between two random variables is zero, such as when they are independent. In those cases, we have:

Cov(a,b) = 0

and therefore:

V(a+b) = V(a) + V(b)

But this is a special case and does not hold in general.

To know more about variable visit:

brainly.com/question/29583350

#SPJ11

Answer: (6,0)

Step-by-step explanation:

Answer:

\(\dfrac{c}{3(c+2)}\)

Step-by-step explanation:

\(\dfrac{c^2+4c}{c^2-4} \div \dfrac{3c+12}{c-2}=\dfrac{c^2+4c}{c^2-4} \times \dfrac{c-2}{3c+12}=\dfrac{(c^2+4c)(c-2)}{(c^2-4)(3c+12)}\)

Factor \(c^2-4\):    \(c^2-4=(c-2)(c+2)\)

\(\implies\dfrac{(c^2+4c)(c-2)}{(c+2)(c-2)(3c+12)}\)

Cancel the common factor  \((c-2)\):

\(\implies\dfrac{(c^2+4c)}{(c+2)(3c+12)}\)

Factor  \(c^2+4c\):  \(c^2+4c=c(c+4)\)

Factor  \(3c+12\):  \(3c+12=3(c+4)\)

\(\implies\dfrac{c(c+4)}{3(c+2)(c+4)}\)

Cancel the common factor  \((c+4)\):

\(\implies\dfrac{c}{3(c+2)}\)

Answer:

BG = 25

Step-by-step explanation:

The circumcentre is equally distant from the triangles 3 vertices, then

BG = CG = 25