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3 years ago

Plot the points (4, 0) and ( -1 - 2) on the coordinate plane.

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer:

(8,90)

Step-by-step explanation:

8 and 90 together... (8,90)

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X + 2 = 5x + 26<br><br> Please help

kkurt [141]

$x+2=5x+26$

Move all the x's to one side of the equation. This is a step necessary to solve this equation.

Subtract both sides by x.

$x+2-x=5x+26-x$
$2=4x+26$

Flip equation. We always want to have the variable written on the left side.

$4x+26=2$

Subtract both sides by 26.

$4x+26-26=2-26$
$4x=-24$

Divide both sides by 4 to finish this off.

$x=-6$

That's your answer. Have an awesome day! :)

7 0

3 years ago

Which expression is equivalent to 2/3 (6x − 9y)?

k0ka [10]

Answer:

4x - 6y

Step-by-step explanation:

$\frac{2}{3} (6x - 9y) \\ \\ = \frac{2}{3} \times 6x -\frac{2}{3} \times 9y \\ \\ = 2 \times 2x - 2 \times 3y \\ \\ = 4x - 6y \\ is \: equivalent \: expression.$

7 0

3 years ago

What's your favorite subject?

nexus9112 [7]

Answer:

math thank you very much

6 0

3 years ago

Read 2 more answers

Which statement is true about the function f(x)= -x?

rosijanka [135]

Answer:

The domain of the graph is all real numbers less than or equal to 0.

Step-by-step explanation:

Hello,

We know that we cannot take square root of negative numbers, so we must have

$-x\geq 0 \ \text{ ***multiply by -1, it changes the inequality, so*** } \\ \\\large \boxed{\sf \ \ x\leq0 \ \ }$

So the domain of the graph is all real numbers less than or equal to 0.

For information, I attached the graph so that we can verify it.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0

3 years ago

Let T:ℝ2→ℝ2 be the linear transformation that first rotates points clockwise through 45∘ (????/4 radians) and then reflects poin

Alisiya [41]

Answer:

$T = \left[\begin{array}{ccc}-\frac{1}{\sqrt{2} } &\frac{1}{\sqrt{2} }\\\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\end{array}\right]$

Step-by-step explanation:

Let General Transformation matrix be denoted as T

Step 1: Clockwise rotation of 45 degrees

General counterclockwise rotation matrix in 2-dimension is given as

$R(\theta)=\left[\begin{array}{ccc}cos\theta & - sin\theta\\sin\theta&cos\theta\\\end{array}\right]$

For clockwise rotation we need to insert θ as negative in the above matrix. Therefore, the resulting matrix is

$R(-\theta)=\left[\begin{array}{ccc}cos\theta & sin\theta\\-sin\theta&cos\theta\\\end{array}\right]$

as sin(-θ) = -sin (θ) and cos(-θ) = cos (θ)

For 45 degrees

$sin(45) = \frac{1}{\sqrt{2} }$ and $cos(45) = \frac{1}{\sqrt{2} }$

$R(-45)=\left[\begin{array}{ccc}\frac{1}{\sqrt{2} } & \frac{1}{\sqrt{2} }\\-\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\\\end{array}\right]$

Step 2: Reflection through line y = x

This type of reflection maps (x,y)→(y,x)

Therefore the general matrix is

$R(x,y)=\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]$

Step 3: General Transformation Matrix

T = R(x,y) R(-θ)

$T=\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}\frac{1}{\sqrt{2} } & \frac{1}{\sqrt{2} }\\-\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\\\end{array}\right]$

$T = \left[\begin{array}{ccc}-\frac{1}{\sqrt{2} } &\frac{1}{\sqrt{2} }\\\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\end{array}\right]$

3 0

3 years ago