Help will give crown!!

Given:

The equation is

[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}[/tex]

To find:

The solutions of given equation over the interval [tex][0,2\pi][/tex].

Solution:

We have,

The equation is

[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}[/tex]

[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\sin \dfrac{\pi }{3}[/tex]

[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=\sin (-\dfrac{\pi }{3})[/tex]

If [tex]\sin x=\sin y[/tex], then [tex]x=n\pi +(-1)^ny[/tex].

Over the interval [tex][0,2\pi][/tex].

[tex]x+\dfrac{7\pi}{2}=4\pi-\dfrac{\pi }{3}[/tex] and [tex]x+\dfrac{7\pi}{2}=5\pi+\dfrac{\pi }{3}[/tex]

[tex]x=\dfrac{11\pi }{3}-\dfrac{7\pi}{2}[/tex] and [tex]x=\dfrac{16\pi}{3}-\dfrac{7\pi}{2}[/tex]

[tex]x=\dfrac{22\pi-21\pi }{6}[/tex] and [tex]x=\dfrac{32\pi-21\pi }{6}[/tex]

[tex]x=\dfrac{\pi}{6}[/tex] and [tex]x=\dfrac{11\pi }{6}[/tex]

Therefore, the two solutions are tex]x=\dfrac{\pi}{6}[/tex] and [tex]x=\dfrac{11\pi }{6}[/tex].

Answer:

C. π/6 & 11π/6

Step-by-step explanation:

If you graph the equation ( Sin (x+7π/2)=-√3/2) and look between 0 & 2π, you'll see that the lines intersect the x-axis at π/6 & 11π/6.

Answer:

15 are lime flavored

Step-by-step explanation:

To find the answer you have to divide 30 by 2 to get 15.Because to find half of something you have to divide the number by two.

Have a good day!

answer: 4

explanation: it would be 4 because slope is rise/run and it rises 4 and runs one so u would get 4/1 which is 4 simplified. :)

Answer:

Slope: 4

Step-by-step explanation:

The slope is 4, because each time x is increased by 1 y is increased by 4.

The rise would be 4 and the run would be 1.

Since the slope of a graph can be found by dividing rise by run, the slope would be 4/1, which is equal to 4.

Answer:

No solution or B

Step-by-step explanation:

Multiply eq1 by 3.

3y=18x+6

3y-18x=12

Regroup:

18x-3y=-6

-18x+3y=12

Add:

0=6???

Impossible

So no solution.

Hope this helps plz mark brainliest :D

Answer:

No solution

Step-by-step explanation:

First we need to solve the equations.

I'll use the combining method

To do the combining method you need to get one of the variables in the first equation to be the negative correspondent to the same variable in the second equation.

(Ex:

If there was 2x in the first equation we would want there to be -2x in the second so they cancel out.)

y=6x+2

subtract 6x from each side to get the variables to line up

y-6x=2

3y-18x=12

To get -6x to equal 18x, we will multiply everything in the first equation by -3

-3y+18x=-6

3y-18x=12

Now combine the two terms

-3y and 3y cancel out

18x and -18x cancel out

-6+12=6

We are left with 0=6.

0 does not equal 6 so there is no solution.

Answer:

-2.4

-0.8

0.2

0.9

1.6

Step-by-step explanation:

I just know.

Answer:

No solution

Step-by-step explanation:

3x = 3x + 4

-3x  -3x

0 = 4

Examples of solutions:

2 = 2 infinite solutions

x = 2 one solution

2 = 0 no solution

Answer:

p≤1 or p∠-2

Step-by-step explanation:

REMEMBER OUR GOAL IS TO LEAVE P ALONE!!

p≤1:

1. [tex]\frac{3p+5}{2}\geq 4[/tex] Multiply by 2 to cancel out 1/2 which would give you [tex]{3p+5}\geq 8[/tex]

2. Then subtract 5 which would give you 3p≥3

3. Then divide by 3 which will FLIP the ≥ into ≤.

4. Therefore, it's p≤1.

p∠-2:

1. [tex]\frac{p-6}{4}\leq -2[/tex] Multiply by 4 to cancel out the denominator which would give you [tex]p-6[/tex]∠-8

2. Add 6 to both sides which results in p<-2

Answer:

-5a^2 - a + 6

Step-by-step explanation:

Now, I don't know if you have memorized this very niche trick in Algebra. Don't tell anybody I told you this, as the CIA will chase me down for allegedly sharing higher intelligence, but you can easily expand equations by the method of FOIL (FIRSTS, OUTSIDES, INSIDES, LASTS). Using this method, we multiply -a and 5a, -a and 6, 5a and 1, and 1 and 6. Adding them all together, our expanded form is -5a^2 - 6a + 5a + 6. Adding like terms, our final polynomial is -5a^2 - a + 6.

Answer:

8.6

Step-by-step explanation:

Answer:

C. [tex] x = -2 [/tex]

Step-by-step explanation:

A rectangle has two lines of symmetry. That is, the line that divides the rectangle into two equal halves.

Taking a look at the rectangle that is placed on the coordinate grid. At what points do you think the two lines of symmetry can be located at that will give us two possible equal halves?

One will be horizontal, the other will be vertical.

For the horizontal line, the line of symmetry can be located at y = 5. If an horizontal line cuts through the rectangle at y = 5, we would have two equal halves.

Thus, an equation for a horizontal line is often represented as [tex] y = k [/tex]. Where k is a constant, because every coordinate point on the horizontal line would have the same value of k, which is where the line cuts across the y-axis. The slope of am horizontal line remains zero also.

Therefore, the equation of the line of symmetry of the rectangle shown in the coordinate grid would be:

✅[tex] y = 5 [/tex]

The second line of symmetry which is vertical, would cut across the rectangle at x = -2.

Thus, the slope of a vertical line is undefined.

The equation of a vertical line is represented as x = h.

Where h is a constant, since all coordinates along the vertical line would surely have a x-coordinate value of -2, regardless of what y-coordinate value they have.

Therefore, h, in this case is -2.

Thus, the equation that represents the second line of symmetry of the rectangle above would be:

✅[tex] x = -2 [/tex].

The two equations that represent the two lines of symmetry of the rectangle, respectively, are:

[tex] y = 5 [/tex]

[tex] x = -2 [/tex]

From the options given, the only correct option provided is:

[tex] x = -2 [/tex].

9514 1404 393

Answer:

  x = -7/2  is not in the domain

Step-by-step explanation:

The numbers that must be excluded from the domain are the ones that make the function be undefined. That is, any value of x that makes the denominator zero will be excluded from the domain.

  2x +7 = 0

  2x = -7

  x = -7/2 . . . . . must be excluded

The only number not in the domain is x = -3.5.

Answer:

Sorry but thats too cunfusing for me sorry I couldn't help

Step-by-step explanation:

best of luck

Answer:

25/4, I believe

Step-by-step explanation:

the rate of change of y with respect to x is 25/4

Answer: She will pay $52.68, including taxes

Step-by-step explanation: One can of tennis ball is $4 and there are no discount on it. Elena bought 3 cans, so:

can = 3 x 4 = 12

One tennis racket is $43 but it has a discount of 15%:

discount = 0.15 x 43 = 6.45

total racket = 43 - 6.45 = 36.55

Elena will have to pay:

pay = 12 + 36.55 = 48.55

She will also have to pay taxes, which are 8.5% over the price she paid:

pay + tax = 48.55 x 0.085 = 4.13

total to pay = 48.55 + 4.13 = 52.68

Buying 3 can of tennins ball and one racket, Elena paid $52.68, including taxes.

Answer:

slope is -1/12

Step-by-step explanation:

slope =y2 - y1 / x2-x1

Answer:

8 (n - 3) = 65

Step-by-step explanation:

the difference of a number and three means n - 3

8 times the difference of means that it will be 8 and then parenthesis the next terms that are said, so 8 (?)

is sixty-four means = 64

so put it together and you have 8 (n - 3) = 65

Answer:

m∠WXY + m∠YXZ = 180

Step-by-step explanation:

Answer:

62.23 That’s the answer

Step-by-step explanation:

Answer:

-2a-6a=15+9

-8a=24

a=24/-8

a=-3

Answer:

a=-3

Step-by-step explanation:

-2a-6a=15+9

-8a=24

a=-3

Answer: there you go

Step-by-step explanation: That is the answer

Answer:

there are two answers to this question

1; X=2

and

2;X=+1

Step-by-step explanation:

open the first brackets with an invisible +1

x-1=0

x=0+1

X=+1

open the second bracket with the plus +

x-2=0

X=0+2

X=+2

hence,

X=+1 and +2

9514 1404 393

Answer:

  16832

Step-by-step explanation:

As your problem statement says, ...

  2104 × 8 = 4×8 +00×8 +100×8 +2000×8

  = 32 +0 +800 +16000

  = 16,832

Answer:

Brianna is right. The quotient is in the hundreds place ,because the first digit is 2 spaces to the left from the comma/period ,thus we know it's a hundred

Answer: I say "A"

Step-by-step explanation:

Because I forgot this years ago in college rn

what is the question that you need help with

Answer:

a=11

Step-by-step explanation:

Add all expressions to equal 180. (a+20+12a-14+a+20=180)

Combine like terms and solve

You'll get a=11

Answer:

33 pets

Step-by-step explanation: