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3 years ago

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The endpoints of a line segment are (-2, -4) and (6, 2) What are the coordinates of the midpoint? 1. (2, 3) 2. (4,3) 3. (4, -2)

4. (2, -1)

1 answer:

marishachu [46]3 years ago

8 0

It should be 4. (2,-1)

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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

Solve these equations. Thanks.

Nutka1998 [239]

Answer:

1. 3.572 x 10^(-1)

2. 3.108 x 10^(6)

3. 5.31881533 x 10^(-6)

4. 4.18676122 x 10^(-1)

Hope this helps

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3 years ago

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Katyanochek1 [597]

with the equation of the slope for two points given, m=Y2-Y1/ X2-X1, you can obtain the slope , x1= 3, y1 = -1 , x2= -1, y2= 2

m = 2-(-1)/ -1-3 ⇒ m= 3/-4, m = -3/4, therefore the slope is - 3/4

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3 years ago

Which statements about the Commutative Property of Multiplication are TRUE? Select all that apply. A. The property applies to al

musickatia [10]

Answer:

b) The property states that ab is equivalent to b a

Step-by-step explanation:

<em>Commutative property</em>:-

the commutative property , when we multiply two integers , the answer we get after multiplication will remain the same, even if the position of the integers are interchanged.

Let 'a' and 'b' be the two integers , then ab = b a

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(−6x+3)−(−2x^2+6x−10)

padilas [110]

I simplified it to, 2x^2 - 12+13

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