How can the function f(x)=x2-6x+8 be rewritten to determine its minimum value?

Convert,the complex number into polar form: 4+4i

kow [346]

Z = a + bi
z = 4 + 4i

r² = a² + b²
r² = (4)² + (4)²
r² = 16 + 16
r² = 32
r = 4√(2)
r = 4(1.414)
r = 5.656

$cos\theta = \frac{a}{r}$
$cos\theta = \frac{4}{4\sqrt{2}}$
$cos\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$cos\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$cos\theta = \frac{4\sqrt{2}}{4(2)}$
$cos\theta = \frac{4\sqrt{2}}{8}$
$cos\theta = \frac{\sqrt{2}}{2}$
$2(cos\theta) = 2(\frac{\sqrt{2}}{2})$
$2cos\theta = \sqrt{2}$
$2cos\theta = 1.414$

$sin\theta = \frac{b}{r}$
$sin\theta = \frac{4}{4\sqrt{2}}$
$sin\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$sin\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$sin\theta = \frac{4\sqrt{2}}{4(2)}$
$sin\theta = \frac{4\sqrt{2}}{8}$
$sin\theta = \frac{\sqrt{2}}{2}$
$2(sin\theta) = 2(\frac{\sqrt{2}}{2})$
$2sin\theta = \sqrt{2}$
$2sin\theta = 1.414$

z = a + bi
z = rcosθ + (rsinθ)i
z = r(cosθ + i sinθ)

z = 4 + 4i
z = 5.656cosθ + (5.656sinθ)i
z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

$\theta = tan^{-1}\frac{b}{a}$
$\theta = tan^{-1}\frac{4}{4}$
$\theta = tan^{-1}(1)$
$\theta = 45$

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).

5 0

3 years ago

Please Help Me Answer These

charle [14.2K]

Answer:

Question 1 : -2 3/4 × 3 1/5 . Change the fractions to improper fraction and multiply .

= -11/4 × 16/5

= -176/20

= -44/5

= -8 4/5

<h3> Question 1 answer : -8 4/5</h3>

Question 2: -4.6/-2

= -4.6/-2

= 2.3

<h3>Question 2 answer : 2.3</h3>

Question 3: - 7/8 ÷ (-2)(-4)

= 7/6(-4)

= -7/4

<h3>Question 3 answer : -7/4</h3>

Question 4 : -4 27/30

= -147/30

= -4.9

<h3>Question 4 answer : c</h3>

Question 5 : -3 13/20

<h3>Question 5 answer : -3.65</h3>

<h3>Therefore The answer are </h3><h3>-8 1/4 , 2.3 , -7/4 , c , -3.65</h3>

8 0

2 years ago

Write an equation of each sentence. Use n to represent the unknown number. You can use the back page for your solution. (2 point

marysya [2.9K]

<h3>Answer:</h3>

11. 6 + n = 20
12. n - 7 = 20
13. n + n + 1 = 31
14. 2n + 2 = 13
15. n - 1 = 18
16. n² + 4 = 2x
17. 2n = 1/2
18. n²/2 = 18
19. n/2 + 90/2 = 70
20. 2 + n = 12

Hoped this helped.

$-BrainaicUser1357-$

7 0

2 years ago

Read 2 more answers

The decimal -2.97 is the solution to which subtraction problem?

Natalija [7]

Answer:

Option 4: -6.1 - (-3.13)

Step-by-step explanation:

Let's solve each option individually to see if -2.97 fits as the solution:

-6.1 - 3.13 = -9.23

-6.1 - (-31.3) = 25.2

-0.61 - (-3.13) = 2.52

-6.1 - (-3.13) = -2.97

As you can see, -2.97 is the answer to Option 4.

So, the decimal -2.97 is the solution to the subtraction problem in Option 4.

5 0

3 years ago

Read 2 more answers

rectangular garden is 15 1/2 feet long and 26.5 wide. you plan to build a border. the boarder of material cost $2.88 for 1.5 fee

Studentka2010 [4]

Answer:

It's 1209.6

Step-by-step explanation:

4 0

3 years ago