What is the value of the first term in the following arithmetic sequence?

-9, -2, 5, 12, ...

a. -9
b. 7
c. 9
d. -7

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:

x =  [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

This is an isosceles triangle, so the missing side is also 3

x = [tex]\sqrt{3^2 + 3^2}[/tex]

  = [tex]\sqrt{9+9}[/tex]

  = [tex]\sqrt{18}[/tex]

Simplify [tex]\sqrt{18}[/tex]:

18 = 2 x 3 x 3

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3 * 3}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2} * \sqrt{3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]

-Chetan K

Answer:

f(x) = -x -1

Step-by-step explanation:

f(x) = mx + b

find 2 points on the line:

A( -1 , 0)

B( 0 , -1)

Put them in the equation and fine m & b:

0=m(-1)+b

-1=m(0)+b

so b= -1

and m= -1

so f(x) = -x-1

Answer:

-x - 1

Step-by-step explanation:

line is passing through (-1, 0) (0, -1)

m = (-1 - 0) / (0 - (-1) )

= -1 / 1

= -1

line equation = y - y1 = m (x - x1)

y - 0 = -1 (x - (-1) )

y = -1 (x + 1)

y = -x - 1

y = f(x)

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:

[tex]\frac{x+4}{3}[/tex] ; 3

Step-by-step explanation:

In this question, we're being asked to write an equation using the word format. Let's find key words in the statement.

The sum of a number x and 4, all divided by 3.

Looking at the wording, we can conclude that we are adding x and 4, and dividing that by 3. So here's how the phrase would look as an expression.

[tex]\frac{1}{3}[/tex] (x+4) or [tex]\frac{x+4}{3}[/tex]

Now, there's another part to this problem. We must evaluate the value of the expression if x is given to be 5. So let's plug it into our equations.

(5)+4

   3

    [tex]\frac{9}{3}[/tex]

9/3 gives you 3, so your answer would be 3.

Let me know if you see any errors or have any further questions, otherwise, I hope this helped! :)

B. 1969

Step-by-step explanation:

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

Answer:

m∠2 = ______75__

m∠3 = ____105____

m∠4 = _____75___

Step-by-step explanation:

i did the math

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step expla

-7 times -12 is 84

Y = 5

The triangle is a right triangle so use the Pythagorean theorem:

Y = sqrt(3^2 + 4^)

Y = sqrt(9 + 16)

Y = sqrt(25)

Y = 5

Answer:

[tex]y = \frac{7}{4} x - 3 \\ y = x \\ y = \frac{7}{4} y - 3 \\ y - \frac{7}{4} y = - 3 \\ - \frac{3}{4} y = - 3 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4 = x[/tex]

Answer:

1

Step-by-step explanation:

(-6,4) and (2,12)

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

= 12 - 4 / 2 - (-6)

= 8/8

= 1

Answer:

x = 18

Step-by-step explanation:

x + 36 and 3x are corresponding angles and are congruent , so

3x = x + 36 ( subtract x from both sides )

2x = 36 ( divide both sides by 2 )

x = 18

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 :

https://brainly.com/question/4084552

#SPJ5

Answer:

No, but the reason depends. Pick the one that applies to the question.

Are we talking function in two variables, ie [tex]z=f(x,y) = x^2+y^2[/tex] : in this case no, the surface you generate is a paraboloid - think the satellite dishes you use for telecomunications. not linear anyways.

Are we talking about [tex]x^2+y^2=0[/tex]? This has only one solution, which is the origin (0;0). in fact if you solve for either of the two you will get [tex]x^2=-y^2[/tex]. Now LHS is greater or equal than zero, RHS is lesser or equal than zero - the whole thing is true only if they are both 0. But still, not linear.

Are we talking about [tex]x^2+y^2 = r[/tex] with [tex]r>0[/tex] (since if it was we would be again at an absurd, something clearly non-negative is equal to a negative number)? Again, non linear, they are circles of radius [tex]\sqrt r[/tex] centered on the origin.

Answer:

5/1

or 5x

is the slope

brainliest please :)

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:

[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}[/tex]

Step-by-step explanation:

[tex]{ \rm{f(x) = - {x}^{2} - 12 }}[/tex]

• When x is -3:

[tex]{ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}[/tex]

Answer:

C, because each time, the number of purple dots, or vertices increases by one..

2, 3, 4, ?..

the next would be five, which is C.

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

each shape has one more vertici (the purple dots) than the previous one, so then the pattern would be 2, 3, 4, .....? so the next one would be 5 which is C

yung may dalawang one true answer promise

Answer:

Step-by-step explanation:

g(x) = -x² - x - 1 = -1(x² +x + 1)

[tex](\dfrac{f}{g})(x) =\dfrac{x^{2}+x+1}{(-1)(x^{2}+x+1}\\\\=\dfrac{1}{-1} = -1[/tex]

                  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

Answer:

N

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

I think it might be D

⦿ Hi There! ⦿

Point-Slope form:

y-y1=m(x-x1)

y-1=m(x-(-6)

Perpendicular lines have slopes that are opposite reciprocals.

It means that if we have -1/2, we flop it over and make it positive.

So the slope of the new line is 2.

y-y1=m(x-x1)

y-1=2(x-(-6)

y-1=2(x+6)

y=1=2x+12

y=2x+12-1

y=2x+11

Hope it helps!

~Just a cheerful gal

#CarryOnLearning

Answered by

[tex]-SilentNature-[/tex]

Answer:

-7

Step-by-step explanation:

-3m+5m=-14

2m=-14

divide both sides by 2

m=-7

Answer:-3+5m is -8m

Step-by-step explanation: Because the 3 is negative and it is plus

Answer:

the original price was $46.12

Step-by-step explanation:

if you add 5 back to that number.

Answer:

do u need help?