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3 years ago

Explain how you know that the sum of 12.6,3.1, and 5.4 is greater than 20

1 answer:

ozzi3 years ago

5 0

By just looking at ur whole numbers...12 + 3 + 5 = 20...and thats not even counting ur decimals..so by adding ur decimals, u know that it will be over 20.

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(12x + y + z = 26

mel-nik [20]

Option D. D has the matrix of constants [[12], [11], [4]].

Step-by-step explanation:

Step 1:

With the given equations, we can form matrices to represent them.

The coefficients of x, y, and z form a matrix of order 3 ×3, the variables x, y, and z form a matrix of order 1 ×3 and the constants form a matrix of order 1 ×3.

Step 2:

The linear system A is represented as

$\left[\begin{array}{ccc}12&1&1\\1&-11&0\\1&-1&4\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}26\\17\\23\end{array}\right]$ .

Step 3:

The linear system B is represented as

$\left[\begin{array}{ccc}4&1&1\\1&-11&0\\1&-1&12\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}23\\17\\26\end{array}\right]$ .

Step 4:

The linear system C is represented as

$\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}4\\11\\12\end{array}\right]$ .

Step 5:

The linear system D is represented as

$\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}12\\11\\4\end{array}\right]$ .

Step 6:

Of the four options, the linear system D has the matrix of constants [[12], [11], [4]]. So the answer is option D. D.

4 0

2 years ago

How much does pi equal?

marta [7]

Pi equals 3.14159265...and so on

3 0

3 years ago

Read 2 more answers

(m? - 5 m +6 )<br>÷(m - 2)

leonid [27]

Answer:

(m? - 5 m +6 ) ÷ (m - 2) = $\frac{m}{-5m+6} / (m - 2)$

Step-by-step explanation:

Divide the first expression by the second expression.

$\frac{m}{-5m+6} / (m - 2)$

I hope this helps.

4 0

2 years ago

Read 2 more answers

PLEASE HELP PLEASE PLEASE

liberstina [14]

<L = 1/2(130 - arc MK)

45 = 1/2(130 - arc MK)

90 = 130 - arc MK

arc MK = 130 - 90

arc MK = 40

Answer

arc MK = 40°

4 0

3 years ago

Jess and Wes used to race each other when they were younger. Jess could cover 8

marshall27 [118]

Answer:

160 meters

Step-by-step explanation:

Let call dj distance run by Jess and dw distance run by Wes

By Jess courtesy Wes will be 60 meters ahead of Jess

Let call t the time in which both runners are at the same point, which in fact is when both distances are equal

dj = 8 m/sec * t and dw = 60 + 5 m/sec * t

Then we make dj = dw

8*t = 60 + 5*t

3*t = 60

t = 20 sec

Now passed 20 sec dj = 8 * 20 = 160 m

and dw = 60 + 5*20 dw = 160 m

5 0

3 years ago