Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)


x − y + 8z = 8

3x − 9y + z = −1

8x + y = 0

Answer:

1. 10$

2. 24,59$

Answer:

x-fx-x*x

Step-by-step explanation:

Answer:

look up

Step-by-step explanation:

Answer:

49.7

Step-by-step explanation:

you just add them. thats perimeter

Answer: 3/8

Step-by-step explanation:

i think it’s 3/8 because I’m also working on this one and it adds up to 3/8 because as you see there is 3 sections. (I’m not good at explaining so I added a photo)

Answer:

3/8

Step-by-step explanation:

me  class  said so

Answer:

20 x 20 grid = 1066.67 cm wire

Step-by-step explanation:

Using unitary method

9 grid = 24 cm wire

1 grid = \(\frac{24}{9}\) cm wire

Multiplying both sides by 400 (20 x 20)

400 grid = \(\frac{24}{9} * 400\) cm

20 x 20 grid = 1066.67 cm wire

The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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Answer:

I believe the answer is B. a^2 = c^2 - 2cx + x^2 + h^2

Step-by-step explanation:

The law of cosines states: c^2 = a^2 + b^2 - 2bc * cos(C). If we plug in the values from the diagram, we'll have (c-x)^2 = a^2 + h^2 -2ah * cos(90)

cos(90) = 0, so now we have just (c-x)^2 = a^2 + h^2

Let's expand this to c^2 -2cx + x^2 = a^2 + h^2

Isolate a^2 and we now have a^2 = c^2 -2cx + x^2 + h^2

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Answer:

 c^2 = a^2 +b^2

 c^2 = (20 ft)^2 +(21 ft)^2 = 442 ft^2

 c = √(442 ft^2) = 21,02 ft

The length of the missing side is 21,02 ft.

Step-by-step explanation:

Answer:

Hope it helped!

Step-by-step explanation:

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer:

perpendicular

Step-by-step explanation:

This question only asks about the slope of the line, so the intercept doesn't matter. You can see that the slope of one line is 3x and the other is -3x so they're perpendicular

Answer:

64-6=x

Step-by-step explanation:

Answer:

Functions:

3. The chart with arrows

4. The graph

Not Functions:

1. (1,1), (2,2), (3,3), (1,4)

2. (1,17), (0,16), (0,15), (-2,17)

Step-by-step explanation:

Functions do not have repeating domains (x-coordinates).

Hope it helps!

Answer:

first choice: y≥1/3 x+3 and 3x-y>2

Step-by-step explanation:

The system of linear inequalities is: \(y \ge \frac{1}{3}x + 3\) and \(3x -y > 2\)

The equation of the orange line is calculated using:

\(y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1\)

This gives

\(y = \frac{3- 4}{0-3} \times (x -3) + 4\)

\(y = \frac{- 1}{-3} \times (x -3) + 4\)

\(y = \frac{1}{3} \times (x -3) + 4\)

Open the bracket

\(y = \frac{1}{3}x -1 + 4\)

\(y = \frac{1}{3}x + 3\)

The inequality has a thick line, and the upper region is shaded.

So, the inequality is:

\(y \ge \frac{1}{3}x + 3\)

The equation of the gray line is calculated using:

\(y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1\)

This gives

\(y = \frac{4- 1}{2-1} \times (x -1) + 1\)

\(y = \frac{3}{1} \times (x -1) + 1\)

\(y = 3 \times (x -1) + 1\)

Open the bracket

\(y = 3x -3 + 1\)

\(y = 3x -2\)

The inequality has a dotted line, and the right region is shaded.

So, the inequality is:

\(y < 3x -2\)

Rewrite as:

\(3x -2 > y\)

So, we have:

\(3x -y > 2\)

Hence, the system of linear inequalities is:

\(y \ge \frac{1}{3}x + 3\) and \(3x -y > 2\)

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Answer:

c = 52 yards

Step-by-step explanation:

You have to use the Pythagorean theorem to solve this question.

\(a^2+b^2=c^2\)

The hypotenuse is longest side of a triangle.

Lets substitute in our values:

\(20^2+48^2=c^2\)

Lets simplify this to:

\(400 + 2304 = 2704\)

Now we need to find the square root of 2704:

\(\sqrt{2704}=52\)

Therefore, the hypotenuse is 52 yards long.

Answer:

B

Step-by-step explanation:

Answer:

0.96

Step-by-step explanation:

0.12 x 8 = 0.96

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer: 5+81.65≈85  

How to: Estimate.

Have a great day and stay safe !

Answer:

x = 0

I hope this helps!

Answer:

The answer is 10 dude.

Step-by-step explanation:

You add 8 on both sides to get 3y by itself then divide 3 on both sides and that's it. If you really need to isolate a variable go on a website called microsoft math solver.

This should be the correct answer

Exact Form:

729/2

Decimal Form:

364.5

Mixed Number Form:

364  1/2

Answer:

12.56637061 ?????

Step-by-step explanation:

the annual expenditure of the US federal government is 4 trillion dollars and dollar bill is 0.001m then, the length of four trillion dollars would be 4×\(10^{9}\) m

Government spending or expenditure includes all government

consumption, investment, and transfer payments. In national income accounting, the acquisition by governments of goods and services for current use, to directly satisfy the individual or collective needs of the community, is classed as government final consumption expenditure.

Since we have given that annual expenditure = 4 trillion dollars,

1 dollar bill = 0.0001m

so, the thickness would be.

\(4*10^{12} *0.001\\\\=4*10^{12}*10^{-3}\\\\=4*10^{9}\)

the length of 4 trillion dollars would be. 4×\(10^{9}\)

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Answer:

Explanation:

manipulate sides by changing division to multiplication and solve, simplify.

solving steps:

(a)

\(\sf \dfrac{4}{7} \div \dfrac{5}{6}\)

\(\sf \dfrac{4}{7} * \dfrac{6}{5}\)

\(\sf \dfrac{24}{35}\)

(b)

\(\sf \dfrac{3}{5} \div \dfrac{4}{5}\)

\(\sf \dfrac{3}{5} * \dfrac{5}{4}\)

\(\sf \dfrac{3}{4}\)

(c)

\(\sf \dfrac{5}{8} \div \dfrac{7}{8}\)

\(\sf \dfrac{5}{8} * \dfrac{8}{7}\)

\(\sf \dfrac{5}{7}\)

(d)

\(\sf \dfrac{7}{18} \div \dfrac{4}{9}\)

\(\sf \dfrac{7}{18} * \dfrac{9}{4}\)

\(\sf \dfrac{7}{2} * \dfrac{1}{4}\)

\(\sf \dfrac{7}{8}\)