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Dominik [7]
2 years ago
7

6 x 2 1/5 estimated please hurry

Mathematics
2 answers:
Lapatulllka [165]2 years ago
8 0
13.2 ......................
horrorfan [7]2 years ago
5 0

<em>6 x 2 1/5 estimated is </em>\frac{6x^{22} }{5}<em> </em>

<em>~~Hope dis helpz u~~</em>

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Find the value of this expression if x = -9.<br> x2 + 3<br> x +6
iren [92.7K]

Answer:

Step-by-step explanation:

x² + 3 = (-9)² + 3          {  (-9)² = -9 *-9 = 81}

     = 81 + 3

       = 84

x + 6 = -9 + 6 = -3

7 0
3 years ago
Write an equation in slope-intercept form for the line that passes through (1,9) and (3,5).
kozerog [31]

Answer:

The answer to your question is    y = -2x + 11

Step-by-step explanation:

A (1, 9)

B (3, 5)

- Find the slope

 m = \frac{y2 - y1}{x2 - x1}

 m = \frac{5 - 9}{3 - 1}

 m = \frac{-4}{2}

        m = - 2

- Find the line equation

        y - y1 = m (x - x1)

        y - 5 = -2(x - 3)

        y - 5 = -2x + 6

        y = -2x + 6 + 5

        y = -2x + 11

8 0
2 years ago
Read 2 more answers
5. Find the coordinates of the midpoint of the segment whose endpoints are 1l(6, 4) and K(2. 8).
Cerrena [4.2K]

Answer:

5. D (4,6)

6. B (7.8)

Step-by-step explanation:

5. Add the two X coordinates (6+2) and divide that by 2 (8/2=4), do the same for the two Y coordinates (4+8=12, 12/2=6)

6. Use the distance formula \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}\\

Input the coordinates \sqrt{(3-8)^{2}+(8-2)^{2}

3 0
3 years ago
Read 2 more answers
A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the cheese? Approximat
Maksim231197 [3]
The side length is the square root of 8. Because the square has 4 equal sides, the side lengths must be equal. So the answer is approximately 2.83.
8 0
3 years ago
What is (2-2i√3)4 equivalent to?
maxonik [38]

a. (2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

To answer the question, we need to know what complex numbers are

<h3>What are complex numbers?</h3>

Complex numbers are numbers of the form z = x + iy

<h3>a. Complex numbers in polar form</h3>

Complex numbers in polar form z = r(cosθ + isinθ) where

  • r = √(x² + y²) and
  • θ = tan⁻¹(y/x)

Given that z = (2 - 2i√3)⁴ =

So,

  • x = 2 and
  • y = -2√3

So, converting to polar form

r = √(x² + y²)

= √[2² + (-2√3)²]

= √[4 + 4(3)]

= √[4 + 12]

= √16

= 4

θ = tan⁻¹(y/x)

θ = tan⁻¹(-2√3/2)

θ = tan⁻¹(-√3)

θ = -π/3

So, z = r(cosθ + isinθ)

= 4(cos(-π/3) + isin(-π/3))

<h3>Powers of complex numbers</h3>

A complex number z raised to power n is zⁿ = rⁿ(cosnθ + isin(nθ)]

z⁴ = (2 - 2i√3)⁴

= r⁴(cos4θ + isin4θ)

= 4⁴(cos(4 × -π/3) + isin(4 × -π/3))

= 256(cos(-4π/3) + isin(-4π/3))

= 256cis(-4π/3)

(2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

<h3>b. Complex numbers in rectangular form</h3>

The complex number z =  r(cosθ + isinθ) in rectangular form is z = x + iy where

  • x =  rcosθ and
  • y =  rsinθ

Given that z⁴ = 256(cos(-4π/3) + isin(-4π/3)) in rectangular form,

x = rcosθ

= 256(cos(-4π/3)

= 256cos(-4 × 60°)

= 256cos(-240)

= 256cos(240)

= 256 × -1/2

= -128

y =  rsinθ

= 256sin(-4π/3)

= 256sin(-4 × 60°)

= 256sin(-240)

= -256sin240

= -256 × -√3/2

= 128√3

So, z⁴ = x + iy

= -128 + 128√3

So, (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

Learn more about complex numbers in polar form here:

brainly.com/question/9678010

#SPJ1

7 0
1 year ago
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