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3 years ago

what are the coordinates of the point (-10, -3) after a 180 degree clockwise rotation about the origin?

2 answers:

6 0

The coordinates of the point (-10, -3) after a 180 degree clockwise rotation about the origin will be (10, 3).

As, we have a point which is in negative side after we turn it clockwise direction it will move to positive side so the coordinates will become positive.

lisabon 2012 [21]3 years ago

4 0

The coordinates would be (10, 3)

<span>If you plot these points and rotated 180 degrees, you get the same axes only all positives become negatives and vice versa.</span>

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Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A.

kondaur [170]

Th matrix is missing. The matrix is :

$\begin{bmatrix}1 &-4 &4 \\ -4 &16 & 4 \end{bmatrix}$

Solution :

The column of the matrix are $\begin{bmatrix}1\\ -4\end{bmatrix}$ , $\begin{bmatrix}-4\\ 16\end{bmatrix}$ , $\begin{bmatrix}4\\ 4\end{bmatrix}$

Now each of them are vectors in $IR^2$ . But $IR^2$ has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.

Therefore, the column of the given matrix does not form the $\text{linearly independent set}$ as the set contains $\text{more vectors}$ than there are entries in each vector.

Therefore, option (D) is correct.

4 0

2 years ago

Y=–6x+2<br> –12x – 2y=–4<br> How many solutions does this linear system have?

DerKrebs [107]

The linear equation y = -6x + 2; -12x - 2y = -4 has no solution

<h3>Linear equation</h3>

y = -6x + 2

-12x - 2y = -4

Substitute y = -6x + 2 into (2)

-12x - 2y = -4

-12x - 2(-6x + 2) = -4

-12x + 12x -4 = -4

-12x + 12x = - 4 + 4

0 = 0

Solve for x

y = -6x + 2

y - 2 = -6x

x = (y - 2) / -6

Substitute into (2)

-12x - 2y = -4

-12(y- 2)/ 6 - 2y = -4

(-12y + 24) / 6 - 2y = -4

-2y + 4 - 2y = 4

0 = 0

Learn more about linear equation:

brainly.com/question/4074386

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3 0

2 years ago

If x^2-13x+42=(x+A)(x+B), then find the value of 3A-B

tigry1 [53]

Answer:

- 11 or - 15

Step-by-step explanation:

Factorise

x² - 13x + 42

Consider the factors of the constant term (+ 42) which sum to give the coefficient of the x- term (- 13)

The factors are - 6 and - 7, since

- 6 × - 7 = + 42 and - 6 - 7 = - 13, thus

x² - 13x + 42 = (x - 6)(x - 7)

compare to (x + A)(x + B)

A = - 6, B = - 7

thus 3A - B = 3(- 6) - (- 7) = - 18 + 7 = - 11

The factors may also be expressed as (x - 7)(x - 6)

with A = - 7 and B = - 6, then

3A - B = 3(- 7) - (- 6) = - 21 + 6 = - 15

5 0

3 years ago

The perimeter of a rectangle is 42 feet the length is 5 feet longer than the width what are the dimensions

Kruka [31]

18.5 x 23.5 is the answer

7 0

3 years ago

PLEEAASE HELP MEEEEEE

Gre4nikov [31]

$\mathsf{1.\; \frac{x - 6}{2} = x + 13}$

⇒ x - 6 = 2x + 26

⇒ x = -32

⇒ This Equation has One Solution

So, It matches with A in Column B

2. 2 + 6x - 7 = 8 + 2x - 10 + 4x

⇒ 6x - 5 = 6x - 2

As, They are Equations of Parallel Lines. They never meet each other.

⇒ This Equation has No Solution

⇒ So, It matches with B in Column B

3. 15x + 25 = 15x + 10

As, They are Equations of Parallel Lines. They never meet each other.

⇒ This Equation has No Solution

⇒ So, It matches with B in Column B

4. 16 + 8x = 4(2x + 4)

⇒ 16 + 8x = 16 + 8x

As, Both Equations are Same. They Represent the Same Line.

⇒ This Equation has Infinite Number of Solutions

⇒ So, It matches with C in Column B

8 0

3 years ago