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just olya [345]

3 years ago

11

The perimeter of a rectangle is 52 inches. If its length is 4 more than its width, which equation can you use to find the dimens

ions? *

1 answer:

Hatshy [7]3 years ago

3 0

Answer:

10x=52

Step-by-step explanation:

4x+x+4x+x=52

10x=52

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7 0

2 years ago

Read 2 more answers

What is the factored form of 11x-x^2=0

Aleks [24]

Answer: $x(11-x)=0$

Step-by-step explanation:

Given the quadratic equation $11x-x^2=0$ , you need to factor it.

In order to find the form asked of the given equation, you need to factor out the common factor of the terms.

You can observe that the common factor of the terms of the equation is: $x$

Now, knowing this, you must factor out $x$ . Then you get the following form:

$x(11-x)=0$

Therefore, the factored fom of the equation $11x-x^2=0$ is:

$x(11-x)=0$

3 0

4 years ago

Describe the transformation: f(x)= -x+5; g(x) = 2f(x)

Angelina_Jolie [31]

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function:
f
(
x
)
=
x
2
f
(
x
)
=
x
2
Horizontal Shift: Right
5
5
Units
Vertical Shift: Up
2
2
Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None

7 0

3 years ago

Which expression is a fourth root of -1+isqrt3?

aleksklad [387]

Answer:

Step-by-step explanation:

$\sf n^{th}$ roots of a complex number is given by DeMoivre's formula.

$\sf \boxed{\bf r^{\frac{1}{n}}\left[Cos \dfrac{\theta + 2\pi k}{n}+i \ Sin \ \dfrac{\theta+2\pi k}{n}\right]}$

Here, k lies between 0 and (n -1) ; n is the exponent.

$\sf -1 + i\sqrt{3}$

a = -1 and b = √3

$\sf \boxed{r=\sqrt{a^2+b^2}} \ and \ \boxed{\theta = Tan^{-1} \ \dfrac{b}{a}}$

$\sf r = \sqrt{(-1)^2 + 3^2}\\\\ = \sqrt{1+9}\\\\=\sqrt{10}$

$\sf \theta = tan^{-1} \ \dfrac{\sqrt{3}}{-1}\\\\ = tan^{-1} \ (-\sqrt{3})$

$\sf = \dfrac{-\pi }{3}$

n = 4

For k = 0,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{\dfrac{-\pi}{3} +0}{4}+iSin \ \dfrac{\dfrac{-\pi}{3}+0}{4}\right] \\\\\\z= \sqrt[4]{10} \left[Cos \ \dfrac{ -\pi }{12}+iSin \ \dfrac{-\pi}{12}\right]\\\\\\z = \sqrt[4]{10}\left[-Cos \ \dfrac{\pi}{12}-i \ Sin \ \dfrac{\pi}{12}\right]$

For k =1,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{5\pi}{12}+i \ Sin \ \dfrac{5\pi}{12}\right]$

For k =2,

$z = \sqrt[4]{10}\left[Cos \ \dfrac{11\pi}{12}+i \ Sin \ \dfrac{11\pi}{12}\right]$

For k = 3,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{17\pi}{12}+i \ Sin \ \dfrac{17\pi}{12}\right]$

For k = 4,

$\sf z =\sqrt[4]{10}\left[Cos \ \dfrac{23\pi}{12}+i \ Sin \ \dfrac{23\pi}{12}\right]$

4 0

2 years ago

What is the equation of a line with slope -3 through the point (3, 5)?

patriot [66]

Answer:

y = -3x + 5

Step-by-step explanation:

4 0

2 years ago