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3 years ago

What is the image point of (-9,6) after a translation left 4 units and down 4 units

Mathematics

1 answer:

muminat3 years ago

4 0

Answer:( -13,2)

Step-by-step explanation:

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Find the inverse of this matrix.<br> 1 -1 -1<br> -1 2 3 <br> 1 1 4

zheka24 [161]

Let's use Gaussian elimination. Consider the augmented matrix,

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\-1 & 2 & 3 & 0 & 1 & 0\\1 & 1 & 4 & 0 & 0 & 1\end{array}\right]$

• Add row 1 to row 2, and add -1 (row 1) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 2 & 5 & -1 & 0 & 1\end{array}\right]$

• Add -2 (row 2) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add -2 (row 3) to row 2:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add row 2 and row 3 to row 1:

$\left[\begin{array}{ccc|ccc}1 & 0 & 0 & 5 & 3 & -1\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

So the inverse is

$\begin{bmatrix}1&-1&-1\\-1&2&3\\1&1&4\end{bmatrix}^{-1} = \boxed{\begin{bmatrix}5&3&-1\\7&5&-2\\-3&-2&1\end{bmatrix}}$

3 0

3 years ago

Helpppppppppppppppppppppppppp

Yuri [45]

Answer:

3 : 7

7 : 3

Step-by-step explanation:

you have 3 shovels for every 7 buckets

the ratio of buckets to shouvels is 7 to 3

6 0

3 years ago

Read 2 more answers

What are the combination of stressed and unstressed syllables for these?

Leviafan [203]

Answer:

Step-by-step explanation:

5 0

3 years ago

Major league baseball team plays 162 game schedule so far graces favorite team won 11 games and lost 7 games if graces team wins

Vinil7 [7]

Answer:

Graces expect her Favorite team can win 99 games.

Step-by-step explanation:

Total games needs to be played = 162

So far graces favorite team won 11 games and lost 7 games

Games Won = 11

Games lost = 7

Total games played till now = Games Won + Games Lost = 11 +7 =18

Now we will find the winning percentage of the team.

Winning percentage can be calculated by dividing Games won with total games played till now and the multiplied with 100

Winning Percentage = $\frac{11}{18}\times100=61.11\%$

We need to find Total games team can win at same rate.

Games team can win can be calculated by multiplying Total games needs to be played this season with Winning Percentage.

Games team can win = $\frac{61.11}{100}\times 162 = 98.99 \approx 99$

Hence Graces can expect her favorite can win approximately 99 games.

8 0

3 years ago

Please answer !!Urgent

motikmotik

I'm sorry I don't know what this is can you explain it sike

7 0

3 years ago