PLZ HELP ASAP DUE RN

Mathematics

1 answer:

matrenka [14]2 years ago

4 0

Answer:

The first and third options are correct so choose both

Step-by-step explanation:

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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

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5 0

2 years ago

2)) There are 32 1/5 calories in<br> a candy bar. How many calories<br> are there in 33 candy bars?

CaHeK987 [17]

If 1 candy bar is 32 1/5 then you would multiply 32 1/5 x 33 =1062.6
≈ 1063 calories

6 0

3 years ago

6 A local theater charges $26 for each adult ticket and

Alina [70]

So what you would do is divide 988 by 26 and divide 731 by 17 and those two numbers you would add which gives you the amount of people that attended the performance

8 0

2 years ago

Read 2 more answers

Can someone help with this please??

adoni [48]

Answer:

doesn't x equal 6 too?

Step-by-step explanation:

since x is the same size as the other side of the triangle

8 0

3 years ago

The output is three less than the input