Determine the gradient of line AC​

9514 1404 393

Answer:

  {∛2e^(iπ), ∛2·e^(iπ/3), ∛2·e^(-iπ/3)}

Step-by-step explanation:

  [tex]\displaystyle \sqrt[3]{z}=(2e^{i\pi})^{\frac{1}{3}}=(2e^{i(2n+1)\pi})^{\frac{1}{3}}=\sqrt[3]{2}\cdot e^{i(2n+1)\pi/3}\quad\text{for $n=\{-1,0,1\}$}\\\\=\{\sqrt[3]{2}\cdot e^{-i\pi/3},\sqrt[3]{2}\cdot e^{i\pi/3},\sqrt[3]{2}\cdot e^{i\pi}\}[/tex]

__

Additional comment

z = -2. ∛z will be three points in the complex plane on a circle of radius ∛2 at angles ±π/3 and π radians (±60° and 180°). That is, the real cube root of -2 is -∛2.

9514 1404 393

Answer:

  $1006

Step-by-step explanation:

Julie will owe the difference between the total cost and the amount she has paid:

  ($1390 +90 +95) -569 = $1006 . . . . amount Julie owes

Answer:

add 2, add 3, add 4, add 5

Step-by-step explanation:

1+*2=3,3+*3=6,6+*4=10,10+*5=15

Answer: x = 8

Step-by-step explanation:

Given

(1/3) (3x + 6) + 2x = 26

Expand parentheses and apply the distributive property

(1/3) · 3x + (1/3) · 6 + 2x = 26

x + 2 + 2x = 26

Combine like terms

(x + 2x) + 2 = 26

3x + 2 = 26

Subtract 2 on both sides

3x + 2 - 2 = 26 - 2

3x = 24

Divide 3 on both sides

3x / 3 = 24 / 3

[tex]\boxed{x=8}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C. 45%

Step-by-step explanation:

Divide 36 by 80 to get 0.45 (45%)

Answer:

-29

Step-by-step explanation:

(-14) + (-15) =

-14 - 15 =

-29

Answer:

9

Step-by-step explanation:

The trinomial square have the following form:

(a - b)²

Expanding this, the result is:

a² -2ab +b²

So, let's put x in place of a and solve it:

x² -2•x•b + b²

Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:

-2x•b = -6x divide both sides by -2x:

b = -3

So -3 complete our trinomial square, and it is:

(x -3)²

Expanding:

x² -6x +9

Answer:

[tex]D = \frac{2}{3} (F+ G) \\ F + G = D \div \frac{2}{3} \\ \\ F+ G = D \times \frac{3}{2} \\ \\ F +G = \frac{3D}{2} \\ \\ G = \frac{3D}{2} - F[/tex]

I hope I helped you^_^

Answer:

Step-by-step explanation:

n = 38

a38 = 21 + (38 - 1)*45

a38 = 21 + 37*45

a38 = 21 + 1665

a38 = 1686

Answer:

I guess it would help you ✌

Answer:762 cm

Step-by-step explanation:

There is 2.54cm in an inch so multiply it by 300

Answer:

8

Step-by-step explanation:

|-4-4| = |-8| = 8

Answer:

No

Step-by-step explanation:

Answer:

The choose D) -12

Step-by-step explanation:

[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]

I hope I helped you^_^

Given : The perimeter of a rectangular atrium is 64 centimeters. The length of the garden is 3 times the width. Find the length and the width.

Solution :

Let us assume the breadth be B

The length is three times the breadth So, the length be 3B

Perimeter of the rectangle = 64 cm

Perimeter = 2(Length + Breadth)

64 cm = 2(3B + B)

64 cm = 2(4B)

64 cm = 8B

B = 8 cm

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

first one: 1/4

second one: 1/4

last one: 1/4

8 divided by 2=4 and 4 becmes the denominator

the answer is basicallly 1/4

What grade is this btw

Option B. 12.9 cm²

Solution

h =Sin(40)*8

S = h*5/2 = 12.85>>12.9 cm2

The area of ​​a triangle can be calculated from the base and height of the triangle. The basic formula for calculating the area is the area of ​​the triangle = 1/2 (base x height). In other scenarios, if you know the other parameters, use the following formula to find the area of ​​the triangle.

The area of ​​a triangle is the space surrounded by the three sides of the triangle. It is calculated using various formulas depending on the type of triangle and is expressed in squares such as cm2 and inches2.

Learn more about  triangle at

https://brainly.com/question/17335144

#SPJ2

Answer:

Step-by-step explanation:

we need to keep in mind that what you do to the bottom of the fraction is the same you do to the top of the fraction

Answer:

The quotient is 2

I don't think this needs solution

Answer:

the quotient is 2

Step-by-step explanation:

1/2÷1/4

1/2×4/1

=2

[tex]\\ \sf\Rrightarrow f(x)=3x-2[/tex]

[tex]\\ \sf\Rrightarrow g(x)=-4x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow (f+g)(x)[/tex]

[tex]\\ \sf\Rrightarrow f(x)+g(x)[/tex]

[tex]\\ \sf\Rrightarrow 3x-2+(-4x+1)[/tex]

[tex]\\ \sf\Rrightarrow 3x-2-4x+1[/tex]

[tex]\\ \sf\Rrightarrow 3x-4x-2+1[/tex]

[tex]\\ \sf\Rrightarrow -x-1[/tex]

Answer:

(f+g)(x) = -x - 1

Step-by-step explanation:

f(x)=3x−2

g(x)=−4x+1

(f+g)(x) = 3x -2 -4x+1

= -x - 1

Answer:

11/3

Step-by-step explanation:

-12/3 = -4

-4 + x = -1/3

X = -1/3 + 4

X = (-1+12)/3 = 11/3

11/3 + -12/3 = -1/3

y is given already

[tex]\\ \rm\Rrightarrow 2x-6=2[/tex]

[tex]\\ \rm\Rrightarrow 2x=2+6[/tex]

[tex]\\ \rm\Rrightarrow 2x=8[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{8}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

Answer:

x = 4; y = 6

Step-by-step explanation:

Set the x-values equal to each other and the y-values equal to each other.

The first value in parentheses is an x-value, and the second value in parentheses is a y-value.

x - 2 = 2x - 6

Subtract x from both sides

-2 = x - 6

Add 6 to both sides to get x by itself on the right.

-2 + 6 = x

4 = x

y - 3 = 3

Add 3 to both sides

y = 6

Check answers for the x-value:

4 - 2 = 2(4) - 6

2 = 8 - 6

2 = 2

Check answers for the y-value:

6 - 3 = 3

3 = 3

The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0.

Answer:

step by step

take v to divide

r=h/v

Answer:

C!

Step-by-step explanation:

A) can be simplified into -> (x ([tex]\sqrt{3}[/tex] * x - 3*[tex]\sqrt{3y}[/tex])/3)

B) Can be simplified into ([tex]\sqrt{2x}[/tex]/2) + ([tex]\sqrt{2z}[/tex]/2)

D) Can be simplified into 5*[tex]\sqrt{5x}[/tex] - x^2

Therefore, C is the correct answer because it cannot be simplified any further!

Hope this makes sense!!!!

Please give brainliest answer! I wasited for you to delete the answer!

Answer:

49 < 52

Step-by-step explanation:

3½ + 4⅔ = 52

convert the mixed fraction to improper fraction

7/2 + 14/3 = 52 LCM=6

multiply yhrough by the LCM

(7/2)*6 +(14/3)*6 = 52

21 + 28 = 52

49 < 52

9514 1404 393

Answer:

  3 1/30

Step-by-step explanation:

Maybe you want to find ...

  [tex]\dfrac{3\frac{1}{2}}{5}+\dfrac{4\frac{2}{3}}{2}=\dfrac{7}{2\cdot5}+\dfrac{14}{3\cdot2}\\\\=\dfrac{7\cdot3}{2\cdot3\cdot5}+\dfrac{14\cdot5}{2\cdot3\cdot5}=\dfrac{21+70}{30}=\dfrac{91}{30}=\boxed{3\frac{1}{30}}[/tex]

Answer:

S.P = 225

Explanation:

Cost Price = 20 copies for Rs. 25

Selling price = 20 copies for ?  

Profit = Rs. 200

Profit = S.P -C.P

Profit + C.P = S.P

200 + 25 = S.P

225 = S.P

Answer:

[tex]2 \times x = \frac{3}{4} \\ \\ 2x = \frac{3}{4} [/tex]

divide either sides by 2 :

[tex]x = \frac{3}{4} \div 2 \\ \\ x = \frac{3}{4 \times 2} \\ \\ { \boxed{ \boxed{x = \frac{3}{8} }}}[/tex]