Which of the expressions below cannot be rewritten using the associative
property?
.
OA. 15 (410)
OB. (5+14) + 10
OC. 12 (17 ÷ 2)
OD. (12.9) •10
SUBMIT

In order to determine the coordinates of the circumcenter of triangle DEF with the given vertices, let its circumcenter be P(x, y). Hence, PD = PE = PF.

By squaring all sides of triangle DEF, we have:

PD² = PE² = PF²

From PD² = PE², we have:

(x - 6)² + (y - 0)² = (x - 0)² + (y - 6)²

x² - 12x + 36 + y² = x² + y² - 12y + 36

-12x + 12y = 0    ..........equation 1.

From PE² = PF², we have:

(x - 0)² + (y - 6)² = (x - (-6))² + (y - 0)²

x² + y² - 12y + 36 = (x + 6)² + y²

x² + y² - 12y + 36 = x² + 12x + 36 + y²

-12x - 12y = 0     ..........equation 2.

Solving eqn. 1 and eqn. 2 simultaneously, we have:

x = 0 and y = 0.

Therefore, the coordinates of the circumcenter of triangle DEF with the given vertices are (0, 0).

From PD² = PE², we have:

(x - 0)² + (y - 0)² = (x - 6)² + (y - 0)²

x² + y² = x² - 12y + 36 + y²

12y = 36    

y = 3.

From PE² = PF², we have:

(x - 6)² + (y - 0)² = (x - 0)² + (y - 4)²

x² - 12x + 36 + y² = x² + y² - 8y + 16

-12x - 8y = -20    

-12x - 8(3) = -20

-12x - 24 = -20

12x = -4

x = -1/3.

Therefore, the coordinates of the circumcenter of triangle DEF with the given vertices are (-1/3, 3).

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Answer:

 the 1st answer is x = 5, the 2nd answer is x = 7, the 3rd answer is x = 4, the 4th answer is: x = 4, the 5th answer is the exact form: x = - 1/3 but the decimal form is: x = - 0.3, the 6th answer is x = 3.

Brainliest?

Answer:

  x + 10

Step-by-step explanation:

You want to know how much money Joyce has if she won a bet with George in which they both started with the same money, both bet 5 cents, and George ended up with x cents.

We assume that both Joyce and George put 5 cents in the pool. After doing that, each had x cents. If Joyce won the 10-cent pool, she now has ...

  x + 10 cents

__

Additional comment

If they both bet against a house, or in a situation where a third party was involved, the amount Joyce ends with depends on the odds of the game, or the percentage collected by the house.

Given that the game is not specified, we have made up the rules.

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Step-by-step explanation:

If the cost of 5m cloth is Rs.375

Then cost of 80m cloth is (80m× Rs 375)÷ 5m

then the cost of  is 6000 Rs. you can use the criss cross method

5m = 375 Rs

80m = ?

80 × 375 = (30,000) ÷5

?= 6000

Answer:

The missing number is 11

Step-by-step explanation:

Step-by-step explanation:

x is the number

8x + 4 = 92 (8 times the number plus 4 is 92).

8x = 88

x = 11

the number is 11.

Increase in Consumer Credit Card Debt is a debt Crisis , Option A is the correct answer.

What is Consumer Credit Card Debt ?

It is the debt which has been accumulated due to the consumers buying products and services out of the credit card and not paying them back in the period of 90 days.

In USA , the credit card balance is $841 billion in the first quarter of 2022 , which is $15 billion less form the last year but at a significant peak.

This extent of the consumer debt is a debt crisis.

The debt on the bank increases as the debt on the consumer increases , causing in bank recession and a recession brings harm to the economy , It is a crisis situation and need to be handled before it affects the market.

Therefore increase in Consumer Credit Card Debt is a debt Crisis , Option A is the correct answer.

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Answer:

8

Step-by-step explanation:

10 minus 4 goes first because of BODMAS so thats 6

then 3 times 2 because again bodmas to thats 6

so then its 8 + 6 - 6

can be done in any order not affected by bodmas

6-6 cancels out so the answer is 8

comment if you want an in depth explanation on bodmas lol

The table that matches the graph shown is the second table.

It should be noted that in the graph, there's a quadratic equation. The form is given as ax² + bx + c.

When x = 0, y = 2. When x = 1, y is a number between 3 and 4. In the second table x we have y(1) = 7/2. This is in the range.

The graph is attached.

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Rationalizing the denominator and simplifying the expression, the result is 6√5 + 13.

Option C is the correct answer.

Given that;

[tex]\frac{4+\sqrt{5} }{\sqrt{5} -2}[/tex]

To rationalize the denominator, we multiply the expression by [tex]\frac{\sqrt{5} +2 }{\sqrt{5} +2}[/tex]

Hence

[tex]\frac{4+\sqrt{5} }{\sqrt{5}-2 } *\frac{\sqrt{5} +2 }{\sqrt{5} +2}\\\\\\\frac{(4+\sqrt{5}) }{(\sqrt{5}-2) } \frac{(\sqrt{5} +2) }{(\sqrt{5} +2)}\\\\\\\frac{(4+\sqrt{5})(\sqrt{5}+2) }{\sqrt{5}^2+\sqrt{5}*2-2\sqrt{5} -4 } \\\\\\\frac{(4+\sqrt{5} )(\sqrt{5}+2 )}{1}\\ \\(4+\sqrt{5} )(\sqrt{5}+2 )\\\\4\sqrt{5}+4*2+\sqrt{5}\sqrt{5}+\sqrt{5}*2\\ \\ 4\sqrt{5}+8+5+2\sqrt{5}\\ \\ 6\sqrt{5}+13[/tex]

Rationalizing the denominator and simplifying the expression, the result is 6√5 + 13.

Option C is the correct answer.

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Answer:

Formulae can be searched for confirmation : compounding interest with regular payments

Step-by-step explanation:

Calculations do it by yourself

Answer:

clchjtdjgdtklgdlnajajhbshsjzsnnjdndmqjsnsn him

The area of the parallelogram in the image given is: 42 m².

Area of a parallelogram = base × height

Given the parameters:

Area of the parallelogram = (6)(7)

Area of the parallelogram = 42 m²

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Using the given linear function, we have that:

The linear function for the number of acres left to mow after x hours is given as follows:

y  = 1350 - 1.2x.

After 20 hours, the number acres is given as follows:

y  = 1350 - 1.2(20) = 1326.

After 100 hours, the number acres is given as follows:

y  = 1350 - 1.2(100) = 1230.

The time it takes to mow all the lawns is given by:

1350 - 1.2x = 0.

1.2x = 1350

x = 1350/1.2

x = 1125 hours

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Answer:

m2

Step-by-step explanation:

the 2nd equation is double the first one and the first one is 1

The area of a 2D form is the amount of space within its perimeter. The length of the rectangle is 29 inches and the width of the rectangle is 12 inches.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Let the width of the sheet be represented by x and the length be represented by y.

Area = x × y

348 = xy

x = 348/y

Perimeter = 2(x+y)

82 = 2(x+y)

41 = x + y

41 = (348/y) + y

0 = y² - 41y + 348

y = 29, 12

Therefore, the length of the rectangle is 29 inches and the width of the rectangle is 12 inches.

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A function assigns the values. The correct option is D.

A function assigns the value of each element of one set to the other specific element of another set.

The complete options of the question are mentioned in the below image.

The cost  cost c(x) for a taxi ride is given by c(x) =2x + 3.00, where x is the number of minutes. Therefore, the graph of the equation can be drawn as shown below.

Hence, the correct option is D.

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[tex]2 \times |12-14|=2 \times |-2| =2\times 2=\boxed{4}[/tex]

Answer:

4.95

Step-by-step explanation:

85% of 33 = 28.5

33 - 28.5 = 4.5

Using proportions, it is found that the consultant's salary in dollars per month is of $9,681.67.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

A business based in South Africa pays a consultant in the U.S. 1,570,000 rand per year. Considering the conversion rate, his salary in dollars per year is given as follows:

S = 1570000 x 0.074 = $116,180.

Since a year has 12 months, his salary in dollars per month is given by:

Sm = $116,180/12 = $9,681.67.

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The number sentence that gives the best representation of the plants on the upright stand is 8 × 1 = 8.

Given that the plant is said to be upright, then the number of row would be seen as 1.

The rows of the plants are made up of 2 and the plants in them are said to be 4. Hence we would have 4 x 2 = 8

From here we would conclude that 8 × 1 = 8 is the plants on the upright stand.

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Answer:

x=13

y=11

Step-by-step explanation:

3y+5+52=90

3y=90-57

3y=33

y=33/3=11

4x=52

x=52/4=13

3y+5 and 52 are complementary

Apply angle sum property

Answer:

1/16

Step-by-step explanation:

F(-4) = 2^-4

= 1/(2^4) = 1/16

Answer:

x = 1053.07 ft

Step-by-step explanation:

So if you look at the diagram I drew it might become a bit more apparent what you have to do. For this problem you'll need to use one of the six trigonometric functions. In this case you know the angle and the opposite side of the angle, and you need the adjacent side. The trigonometric function tan is defined as [tex]\frac{oppposite}{adjacent}[/tex]. So let's plug in the known values:

[tex]tan(8) = \frac{148}{x}[/tex]

multiply both sides by x

[tex]tan(8) * x = 148[/tex]

Divide both sides by tan(8)

[tex]x=\frac{148}{tan(8)}[/tex]

Calculating tan of 8 degrees using a calculator

[tex]x=\frac{148}{0.141}[/tex]

Simplify

x = 1053.07 ft

The roots of the quadratic equations are -4 and -1

-2x^(2)-3x+4=0

Expand the equation first

[tex]-2(x^2 - 3x + 4) = 0[/tex]

Find two factor that are multiples of -8 and sum up to give -3, the facors are -4 and -1

Replace -3x with 4x and -x

[tex]-2(x^2 -4x + x + 4) = 0[/tex]

Factorize the equation

[tex]-2 (x (x + 4) + 1 (x + 4)[/tex]

We have

2(x + 1) = 0 and 2(x+ 4) = 0

2(x + 1) = 0

2x + 2 = 0

x = -1

2(x+ 4) = 0

2x + 8 = 0

x = -8/2

x = -4

Therefore, the roots of the quadratic equations are -4 and -1

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The inequality of the given graph in Slope Intercept Form is;

y ≥ 3x - 2

From the attached graph, we see that the boundary line passes through the points (0,-2) and (1,1), and as such the equation of the boundary line is gotten from the general formula;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

Thus, we have;

(y + 2)/(x - 0) = (1 + 2)/(1 - 0)

(y + 2)/x = 3

y + 2 = 3x

y = 3x - 2

Now, the boundary line is a solid line and the shaded area lies above the boundary line, therefore the sign of inequality must be ≥.

The inequality of the given graph in Slope Intercept Form is;

y ≥ 3x - 2

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The expression for the angle m∠RST from the given bisctor is; 6x - 18

From the given image in the attachment we are given that;

SQ bisects ∠TSR

m ∠RSQ = 3x - 9

Now, since  SQ is a bisector of ∠TSR, we can say that

m∠RST = 2 * m∠RSQ

Thus angle RST is expressed as;

m∠RST = 2(3x - 9)

m∠RST = 6x - 18

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Answer: 10

Step-by-step explanation:

I just took the test!! :)

The total cost for the increment is $13,000.

There are 5 employee's in Sasha's department. The total amount of increment is $5000. (5 x $1000).

The lowest salary is 32,000. If it is increased to $40,000. The total cost of the increment is $8000 (40,000 - 32,000)

Total cost of the increment = $8000 + $5000 = $13,000

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The exponential function that represents the value of Andres’s account after t years is:

A) Va=500(1.025)^t-3 and Va=464.30(1.025)^t

For Henry, it is given by:

[tex]Vh = 500(1.025)^t[/tex]

Andres starts 3 years later than Henry, hence the equation is:

[tex]Va = 500(1.025)^{t - 3}[/tex]

Applying an exponential simplification, we have that:

[tex]Va = 500\frac{1.025^t}{1.025^3} = 464.3(1.025)^t[/tex]

Hence option A is correct.

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las ecuaciones con fracciones dan:

Sabemos que 5 vueltas es igual a 150 metros, entonces cada vuelta es equivalente a:

v = 150m/5 = 30m

Es decir, cada vuelta equivale a 30 metros.

Ahora simplemente podemos resolver las ecuaciones con fracciones:

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