Drag each tile to the correct box. Complete the sequence for deriving the quadratic formula using the quadratic equation in standard form, .

Answer:

i

Step-by-step explanation:

=> -i³

=> (-1 . i )³

=> -1³ . i³

=> -1 [ i² . i ]

=> -1 [ (√-1)² . i ]

=> -1 [ -1 . i ]

=> i

Answer:

B: i

Step-by-step explanation:

Algebric explanation: as long as you remember power rules you should be good:

[tex](-i)^3 = (-1)^3\times i^3 = -1 \times i^2\times i= (-1)\times(-1)\times i=1i[/tex]

Geometric explanation: In the complex plane you can think "multiplying by i" as "rotate 1/4 counterclockwise". [tex](-1)^3[/tex] is a real number, and it's simply [tex]-1[/tex]. Rotate that ccw once, you're at [tex]-i[/tex]. Again, and you're at 1. third time (is really the charm!) you end up at [tex]i[/tex].

Polar explanation Courtesy of euler's identity.

[tex](-i)^3 = (e^{-\frac{\pi}2i})^3=e^{-\frac32\pi i}= cos (-\frac32\pi)+isin(-\frac32\pi) = 0+i(1)= i[/tex]

Answer:

275 miles

Step-by-step explanation:

110/2 = 55 miles

you travel 55 miles an hour

multiply that by 5 to get your answer

equals 275 miles

Hope this is helpful.

Answer:

275 miles in 5 hours

Step-by-step explanation:

110/2 is 55. 55 is 1hour so multiply 55 times 5 and thats your answer.

Answer:

3

Step-by-step explanation:

15/4=3 with a remainder of 3 . You take the 3 from your answer and it becomes the whole number.

Answer:

y= -1/4x - 11/2

y= 3/7x - 29/7

Answer:

she keeps 270

Step-by-step explanation:

have of 600 is 300 10 percent of 300 is 30

300-30 is 270

Answer:

c. 4y=6x+8

Step-by-step explanation:

For lines to be parallel, they must have the same slope. To solve this problem, we need to isolate the y on one side of the equation (putting the equation into slope intercept form).

The equation itself must be divided by 2 to do that. We end up with y=1.5x-0.5. We need to find another equation that has 1.5 as the slope.

b. y=0.5x-1.5

c. y=1.5x+2

d. y=3x+4

e. y=2/3x-1

As we can see, the only other equation with a slope of 1.5 is C. Therefore, C is our answer.

Answer:

N

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

Answer:

C. a= -1, m=1

Step-by-step explanation:

hope i helped, have a great day :)

For the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex], if the horizontal asymptote is at y = 2 and vertical asymptote is at x = 1, then a = -1 and m = 1.

There are asymptotes like horizontal, vertical and oblique asymptotes.

Horizontal asymptote is the value of the function f(x) as x goes to ±∞, as long as this value is not infinity.

Vertical asymptotes are the values of x which are not in the domain of the function f(x). For a fractional expression it is found by letting the denominator equals zero.

The given function is,

f(x) =  [tex]\frac{2x^m}{ x + a}[/tex]

Horizontal asymptote of this function is at y = 2.

lim x → ∞ f(x) = 2

lim x → ∞  [tex]\frac{2x^m}{ x + a}[/tex] = 2

Eliminate 'a' in the denominator, because as x tends to infinity a + x also tends to infinity.

lim x → ∞  [tex]\frac{2x^m}{ x }[/tex] = 2

For the left hand side to become 2, [tex]x^m[/tex] in the numerator and x in the denominator should get cancelled.

⇒ [tex]x^m[/tex] = [tex]x[/tex]

⇒ m = 1

Vertical asymptote of the function is at x = 1.

Let x + a = 0

⇒ 1 + a = 0

⇒ a = -1

Hence we get the values a = -1 and m = 1 for the function f(x) =  [tex]\frac{2x^m}{ x + a}[/tex] to have the horizontal asymptote at y = 2 and vertical asymptote at x = 1.

To learn more on Asymptotes, click :

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I think it might be D

Ah sorry I got it wrong, dear

Answer:

15.8 i think

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

Let's find the length of one side. The perimeter will be 8 times that since it's a regular octagon.

[tex]d= \sqrt{(-4+(-4))^2+(8-(-3))^2} = \sqrt{0^2+(11)^2}= 11[/tex]

Perimeter has to be [tex]8\times 11 = 88[/tex]

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step expla

-7 times -12 is 84

Answer:

3x

Step-by-step explanation:

Answer:

-7/9

Step-by-step explanation:

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 6-13)/(10-1)

    = -7/9

La casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.

En esta pregunta, debemos leer el enunciado y obtener las ecuaciones equivalentes antes de obtener su solución. En este caso tenemos las siguientes dos ecuaciones:

(i) La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés.

[tex]c - a = 4[/tex] (1)

(ii) La casa de Rodrigo está a 2 cuadras a la izquierda de la casa de Camilo.

[tex]r - c = -2[/tex] (2)

Si sumamos (1) con (2), entonces obtenemos la siguiente ecuación entre las casas de Andrés y Rodrigo:

[tex]r - a = 2[/tex]

En síntesis, la casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.

Invitamos cordialmente a ver esta pregunta sobre aritmética: https://brainly.com/question/6357882

Answer:

3

Step-by-step explanation:

5x + 40 = 55

5x = 55 - 40

5x = 15

x = 15 / 5

x = 3

√44

2 Real Roots

Looking at the image attached, the discriminant is the value under the square root.

In the equation given:

a = 1

b = -8

c = 5

The discriminant is therefore:

√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44

√44 is a positive number. Because it is positive, there must be 2 real roots.

If it were negative, there would be 2 imaginary roots.

If it were zero, there would be 1 real root.

                  1  / 2

<————---———————>

              3 / 4

            5 / 6

<————————————>

       7 / 8

ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,

ANSWERS:

1. Vertical

2. Corresponding

3. Supplementary

4. Alternate Interior

5. Co-Interior

6. Alternate Interior

7. Corresponding

8. Alternate Exterior

B. 1969

Step-by-step explanation:

Hope it helped you! :) (Please correct me if I'm wrong.)

Answer:

C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula

The trinomial for the rectangular rug is 3x² + 5x - 2

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

A trinomial is a polynomial with three terms.

The area of a rectangle = length * width

Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2

Area of rectangle = 3x² + 5x - 2

The trinomial for the rectangular rug is 3x² + 5x - 2

Find out more at: https://brainly.com/question/18563587

Answer:

y = 2x - 3/4  Answer b

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope  = 2

b is the y-intercept = -3/4

therefor

y = 2x - 3/4  Answer b

Answer:

3m^2 + 5n = 3

Step-by-step explanation:

3(16) + 5(-13) =

48 - 45 =

3

Answer:

Step-by-step explanation:

from how the sides are marked it is an equilateral triangle, to see it does not seem. assuming that it is equilateral it has 3 angles of 60 ° for which 4x - 20 = 60

4x - 20 = 60

4x = 80

x = 80 : 4

x = 20

-------------------

4 * 20 - 20 = 60°

Answer:

Step-by-step explanation:

14.7$

Answer:

36 / 21 = h / 168 so h = 168 (12 / 7)

Step-by-step explanation:

i dont know how to explain it

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*a+b-(12)=0

Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4a+b-12 = 0 and calculate its properties

Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000

b-intercept = 12/1 = 12.00000

When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000

a-intercept = 12/4 = 3

Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -8.000/2.000 = -4.000

Geometric figure: Straight Line

Answer:

Step-by-step explanation:

Without having a numerical value for a (or b), you can't "solve this equation."

You can, however, solve it for either a or b, but not both.

For a:  Subtract b from both sides.  This results in 4a = 12 - b.  Dividing both sides by 4 isolates a:  

        12 - b

a = --------------

            4

For b:  Subtract 4a from both sides.  Then:   b = 12 - 4a