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3 years ago

HELP 13 POINTS!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

ahrayia [7]3 years ago

5 0

Answer:

$4^{-8} \\4^{-2}\\4^{8}\\4^2$

Step-by-step explanation:

For the first few exponents multiply and the rest they add because like terms.

The trick is that when you raise a power to a power you multiply. Otherwise you add if the base value is the same.

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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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2 years ago

Find the x and y intercept of y=7×+5

Zina [86]

X-int. is (5/7,0)
y-int. is (0,5)

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3 years ago

6x - 2y = 10 <br> y = -2x + 10

Nookie1986 [14]

Answer:

(3,4)

Step-by-step explanation:

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2 years ago