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3 years ago

10

What is the equation that represents the scenario?

1 answer:

miskamm [114]3 years ago

7 0

Answer:y=5x

Step-by-step explanation:

B

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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

The value of a car decreases by 15% for each year the car is leased. If the original price of

Alenkasestr [34]

Answer:

Around 7830 dollars

Step-by-step explanation

Times 15,000 by 0.85, you'll get 12,750. Times each product by 0.85 and you'll get around 7830 dollars

6 0

3 years ago

Please Help!!! Braniest will be given

Lady bird [3.3K]

To solve this word problem, we will use the Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

Our side lengths are 10 and 24ft.

So, we can plug them in for a and b.

10^2 + 24^2 = c^2

100 + 576 = 676

Then, we need to find the square root of 676.

sqrt676) = 26

So, the missing length or the hypotenuse is 26 feet.

Therefore, we require 26 feet of string to measure the length of the hypotenuse in which the room is split in half.

4 0

3 years ago

Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the denominator rationali

Otrada [13]

Answer:

the answer is 7

Step-by-step explanation:

angle 30°

x=14/2

x=7

8 0

3 years ago

Evaluate: 3y + 1 = 13 + 4y<br> **What do you move first?!**

yan [13]

Answer: isolate the variable

Step-by-step explanation:

5 0

3 years ago