show -12 as a fraction

Answer:

For complex numbers,

a + bi and a - bi

they have the interesting property that if you add them you get the real number 2a

and if you multiply them , because of the difference of square pattern, you get a^2 - b^2 i^2

But since i^2 = -1, we end up with a real number as a product.

e.g. 6 - 5i and 6 + 5i are conjugates of each other

sum = 6-5i + 6+5i = 12

product = 36 - 25i^2

= 36 -(-25) = 61

Your question is even easier, since the denominator is a monomial instead of a binomial, so we just have to multiply by i/i

Also I believe, according to the answer, that you have a typo, and you meant

(-5+i)/(2i)

= (-5+i)/(2i) *i/i

= (-5i + i^2)/2i^2)

= (-5i +i^2)/-2

= (-5i - 1)/-2

= (1 + 5i)/2 or they way they have it: 1/2 + 5i/2

Answer:

A

Step-by-step explanation:

vertex is (-3,-4)

so inside the absolute value bars need to be postive 3 and the four has to be -4.

Answer:

below

Step-by-step explanation:

A) 3x+2y=31 is line perpendicular with 2x-3y=12, slope= -3/2 vs 2/3 and intersect at (9 ,2)

B) 6x-9y=11 parallel to 2x-3y=12, has same slope of 2/3, no intersect

C) they have "positive type of slopes" to form parallel lines

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Answer:

  A) (x, y) = (9, 2)

  B) no solution

  C) the same slope

Step-by-step explanation:

A) In the attached, the given equation is graphed in red. The paired equation is shown in blue. They intersect at the point (9, 2), which is the solution to this system of paired equations.

__

B) The line is parallel to its paired line, so there is NO SOLUTION.

__

C) Parallel lines have the same slope.

_____

Additional comments

A graphing calculator provides a quick and easy solution to a system of equations. There are many calculators and apps and on-line sites that can solve a system of equations for you.

For the pair of equations in part A, you can eliminate the y-variable by adding 2 times the first equation to 3 times the second equation:

  2(2x -3y) +3(3x +2y) = 2(12) +3(31)   ⇒   13x = 117   ⇒   x = 9

Substituting in the first equation gives ...

  2(9) -3y = 12   ⇒   6 -y = 4   ⇒   y = 2

__

For the paired equation in part B, the ratio of the x- and y-coefficients is 6/-9 = -2/3, the same as it is for the given equation. The constants are different (even after dividing the second equation by 3), so the lines are parallel (not coincident). This means the system of paired equations has no solution.

Answer:

a. write a linear function for the number of gallons of gas in the tank in terms of the number of miles driven.

Answer:

96

Step-by-step explanation:

120/1.25=96

Answer:

(4 – 5) – (13 – 18 + 2)

= -1-(13+2-18)

= -1-(15-18)

= -1-(-3)

= -1+3

Answer:

(4-5)-(13-18+2)

(-1)-(-3)

-1+3

2

hope this helps u

vertex: (-2,-4)

axis of symmetry: x = -2

hope this helps :)

Step-by-step explanation:

option A has the same value to that equation.

hope this helps you.

Answer:

a)-10-3

Step-by-step explanation:

-10+(-3)

=-13

-10-3

=-13

Answer: 89y

89y

Step-by-step explanation: 89y

89y

Answer:

put them in desmos and graph them

22

Step-by-step explanation:

fx is the addition of all the digits which are present in the column of the table called fx

Looks like the equation is

[tex]g(x) + x \cos(g(x)) = x^3[/tex]

Differentiate both sides with respect to x, using the chain rule on the left side:

[tex]g'(x) + \cos(g(x)) - x \sin(g(x)) g'(x) = 3x^2[/tex]

Solve for g'(x) :

[tex]g'(x) (1 - x \sin(g(x))) = 3x^2 - \cos(g(x)) \\\\ g'(x) = \dfrac{3x^2 - \cos(g(x))}{1 - x \sin(g(x))}[/tex]

When x = 0, we have

[tex]g'(0) = \dfrac{0-\cos(g(0))}{1-0\sin(g(0))} = \boxed{-\cos(g(0))}[/tex]

(This is all you can say without providing the value of g (0).)

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Answer:

  3. yes: a[1] = -8, a[n] = a[n-1] +7; an = -8 +7(n -1)

  4. no (no common difference)

Step-by-step explanation:

An arithmetic sequence is one in which each term has the same difference from the term before it.

__

3. -1 -(-8) = 7; 6 -(-1) = 7; 13 -6 - 7. The differences are all 7, so the terms have a common difference. This sequence is arithmetic.

The general form of the recursive rule for an arithmetic sequence with first term a1 and common difference d is ...

  a[1] = a1; a[n] = a[n-1] +d . . . . . recursive rule

  a[1] = -8; a[n] = a[n-1] +7

The general form of the explicit rule for an arithmetic sequence is ...

  an = a1 +d(n -1)

  an = -8 +7(n -1)

__

4. The differences are ...

  8 -1 = 7; 27 -8 = 19; 81 -27 = 54 . . . the differences are not common

This sequences is not arithmetic.

Answer:

100

Step-by-step explanation:

16x + 19x + 5 = 180   {co-interior angles are supplementary}

Combine like terms;

35x + 5 = 180

Subtract 5 from both sides

35x = 180 - 5

35x = 175

Divide both sides by 35

x = 175/35

x = 5

19x + 5 = 19*5 + 5

           = 95 + 5

           = 100

Answer:

100⁰

Step-by-step explanation:

co interior angles add up to 180⁰

so l9x+5+16x=180⁰

35x+5⁰=180⁰

35x=180⁰-5⁰

35x=175⁰

Divide both side by the co-efficient of x which is 35

35x/35=175⁰/35⁰

x=5

Now to find the value of 19x+5,we have to substitute any x in it by 5

so 19x+5

19(5)+5

95+5

100⁰

Thanks. I hope it will be helpful to you

Answer:

30 Percent  

Step-by-step explanation:

Answer:

The Answer will be 25%.

Answer:

a

Step-by-step explanation:

25 and 26

25*26=650

Consecutive numbers are numbers that are right next to each other.

Examples:

1 and 2

345 and 346

1000 and 1001

All the best

hope this helps

[tex]GraceRosalia\\******************************************************************************\\BRAINLIEST?[/tex]

Si hacen un reparto directamente proporcional a los capitales aportados, a María le corresponden $4444,44, a Pepe $5555,55, a Ana $6666,66 y a Miguel $13333,33.

Dado que María, Pepe, Ana y Miguel crean una empresa en sociedad aportando un capital inicial de 4.000, 5.000, 6.000 y 12.000 dólares, respectivamente, y las utilidades netas en el primer año fueron de 30.000 dólares, para determinar qué cantidad corresponde a cada uno si hacen un reparto directamente proporcional a los capitales aportados se debe realizar el siguiente cálculo:

Por lo tanto, si hacen un reparto directamente proporcional a los capitales aportados, a María le corresponden $4444,44, a Pepe $5555,55, a Ana $6666,66 y a Miguel $13333,33.

Aprende más en https://brainly.com/question/21892145

Answer:

i) 4

ii) -216

please give brainliest

Answer:

45

Step-by-step explanation:

first you divide bring don and subtract

Answer:

1128

Step-by-step explanation:

Math

Answer:

I'm pretty sure it is B

Step-by-step explanation:

ANSWER:

     43

Explanation:

A : B : C

     4 : 3  

          5 : 2

A × B → 4 × 5 = 20

B × B → 3 × 5 = 15

B × C → 3 × 2 = 6

  A : B : C

 20 : 15 : 6

B = 15 = 30

what of teams A and C together?

 If 15 = 30games, what about 26games?

Cross multiply.

   15 × 26          =13

      30

So, games won by Team B + games won by Teams A and C

        30games + 13games

               =43games.

Answer:

82

Step-by-step explanation:

Answer:

completa la oracion!!!

etaStep-by-step explanation:

Answer:

simply 8c = 128

Answer: [tex]f= \frac{ C -4h -5p }{7}[/tex]

Isolate f

Subtract 5p from both sides

Subtract 4h from both sides

Divide both sides by 7

Answer:

a) a +b= 13, ab= 40

b) length= 8m, width= 5m

Step-by-step explanation:

Perimeter of rectangle= 2(length +width)

Area of rectangle= length ×width

a) Perimeter= 26m

2(a +b)= 26

Divide both sides by 2:

a +b= 26 ÷2

a +b= 13 ----- (1)

Area= 40m²

ab= 40 ----- (2)

b) From (1): a= 13 -b ----- (3)

Substitute (3) into (2):

(13 -b)(b)= 40

Expand:

13b -b²= 40

b² -13b +40= 0

Factorise:

(b -5)(b -8)= 0

b -5= 0 or b -8= 0

b= 5 or b= 8

Substitute into (3):

a= 13 -5 or a= 13 -8

a= 8 or a= 5

Since the length is usually the longer side of the rectangle, the length and the width of the rectangular garden is 8m and 5m respectively.

Answer:

Step-by-step explanation:

Perimeter = 2length + 2 width

   2a + 2b = 26 m

Divide the equation by 2

[tex]\dfrac{2a}{2}+\dfrac{2b}{2}=\dfrac{26}{2}\\\\[/tex]

a + b  = 13         --------------(I)

a = 13 -b

Area = length *width

a*b = 40 sq.m

ab = 40   ----------------(II)

Plugin a = 13 -b in the equation (II)

(13 - b)*b = 40

13*b - b*b = 40

13b - b² = 40

0 = 40 + b² - 13b

b² - 13b + 40 = 0

Sum = - 13

Product  = 40

Factors = (-8) , (-5)      {-8 + (-5) = -13 & (-5)*(-8) = 40}

b² - 8b - 5b + (-8)*(-5) = 40

b(b - 8) - 5(b - 8)= 0

( b - 8) (b - 5) = 0

b - 8 =0     ; b -5 =0

b= 8   ; b = 5

Length = 8 cm

Width = 5cm