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1 year ago

Which can be represented as set of ordered pairs?

Mathematics

2 answers:

Gnesinka [82]1 year ago

7 0

D. All of the choices.

Romashka [77]1 year ago

7 0

Answer:

D.All of the choice

Step-by-step explanation:

D.All of the choice

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If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.

alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

$\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]$

The inverse of the matrix is

$\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]$

So, the Inverse Transformation is given by

$T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$

So, no option is correct. And the answer is

$T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$

Learn more about linear transformations here-

brainly.com/question/13005179

#SPJ10

5 0

2 years ago

Multiplying Special Cases <br> (3p-7)(3p+7)

Ludmilka [50]

I hope this helps you

8 0

3 years ago

Read 2 more answers

Identify the situation that involves opposite quantities adding up to zero Climbing up 6 feet and climbing down 4 feet Hiking 10

ivolga24 [154]

9514 1404 393

Answer:

(b) Hiking 10 feet due north, then hiking 10 feet due south

Step-by-step explanation:

Any pair of numbers that totals zero will be a pair of opposites. The offered choices are ...

+6 -4 = 2 . . . not zero

+10 -10 = 0

+2 -3 = -1 . . . not zero

+5 -3 = 2 . . . not zero

Hiking 10 feet due north, then hiking 10 feet due south is a situation involving opposite numbers adding up to zero.

3 0

2 years ago

3 Simplify the expression: 5! 2:3! 4. Simplify the expression:

vredina [299]

Answer:

Step-by-step explanation:

$5! 2:3! 4 \\ \\ = \frac{5! \: .2}{3! \: . 4} \\ \\ = \frac{5.4. \cancel{3!} \: . 2}{\cancel{3!} \: .4} \\ \\ = \frac{40}{4} \\ \\ = 10$

6 0

3 years ago

involving the election of officers on a committee. Assume that the committee consists of 14 members including Tasha. The same th

Yanka [14]

Answer:

There are 364 ways of filling the offices.

Step-by-step explanation:

In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

$C^{n} _{r}=\frac{n!}{(n-r)!r!}$

where n=14 (number of members)

r=3 number of offices

n!=n·(n-1)·(n-2)·...·3·2·1

$C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364$

5 0

2 years ago