Can y’all help me on 22 and 23

Mathematics

1 answer:

myrzilka [38]3 years ago

6 0

Answer:

problem 22: 6

problem 23: 588,409

Step-by-step explanation:

for the first one, just divide 3600 by 585. it turns out to be a fraction, so you have to use the whole number that comes before all of the numbers behind the decimal. and for the second one, it's just simple long division.

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bathroom that is 6 feet long. If the mirror sells for $4.00 per square foot, what will the total cost of the mirror be?

daser333 [38]

The total cost of the mirror would be $24 because 6 times 4 equals 24.

7 0

2 years ago

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

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