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3 years ago

Find the circumference of the circle. Question 8. Use 3.14 for pie

Mathematics

1 answer:

VikaD [51]3 years ago

8 0

The circumference of a circle is 2PieR or 2D.
Multiply the radius (22) by 2 and then multiply that product by 3.14.
Your answer is 138.16.

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2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

4 years ago

2 3/12 - 1 1/12 help

torisob [31]

Answer:

3/12-11/12= -8/12

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

1/3 is greater than what other fractions

Novosadov [1.4K]

As 1/3 = 2/6 = 3/9 = 4/12

and 2/6 is greater than 1/6
3/9 is greater than 2/9
etc..

So

1/3 is greater than 1/6 ; 2/9 ; ...

7 0

3 years ago

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What? Is the sum for 490+234

Ilya [14]

The answer to your question is 724

3 0

3 years ago

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The endpoints of GH are g(-7,3) and h(1,-2) what’s the midpoint of GH

ValentinkaMS [17]

Answer: $\bigg(-3,\dfrac{1}{2}\bigg)$

<u>Step-by-step explanation:</u>

G = (-7, 3) H = (1, -2)

$M_{GH}=\bigg(\dfrac{X_G+X_H}{2},\dfrac{Y_G+Y_H}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-7+1}{2},\dfrac{3+(-2)}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-6}{2},\dfrac{1}{2}\bigg)\\\\\\.\qquad = \large\boxed{\bigg(-3,\dfrac{1}{2}\bigg)}$

7 0

3 years ago