Write the equation based on the graph

Answer:

D is right

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Ed2021

The solutions of the given trigonometric equation are 60°, 180°, 300°.

A trigonometric equation is an equation that consists of one or multiple trigonometric ratios of unknown angles.

The given trigonometric equation is:

cos (x/2) - sin (x) = 0

⇒ cos (x/2) - 2sin (x/2) cos (x/2) = 0

⇒ cos (x/2) [1 - 2sin (x/2)] = 0

Therefore,  cos (x/2) = 0 = cos (90°)  (x/2 can't be 270°)

⇒ x = 180°

Again,  [1 - 2sin (x/2)] = 0

⇒ 2sin (x/2) = 1

⇒ sin (x/2) = 1/2

⇒ (x/2) = 30°, 150°

⇒ x = 60°, 300°

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Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?

This question can be solved by using proportions. The question has already given a proportion you need to fill in, which looks like this:

[tex]\displaystyle \frac{A}{B} =\frac{x}{1000}[/tex]

As you can see, the denominators are B and 1000, which represents the number of words. That means the number of words will go on the bottom, which leaves you with the number of minutes as the numerator.

Donald can type 240 words in 6 minutes. The number of words, 240, is the denominator, and the number of minutes, 6, is the numerator.

Substitute A and B with these values:

[tex]\displaystyle \frac{A}{B} =\frac{x}{1000} \rightarrow \frac{6}{240} =\frac{x}{1000}[/tex]

Now you need to cross multiply.

[tex]1000 \times 6=240 \times x[/tex]

Simplify:

[tex]6000=240x[/tex]

Lastly, you need to divide both sides by 240 to find the value of x alone. This is because 240 is being multiplied by x, and in order to leave x alone, you must do the opposite of it, which is dividing.

[tex]\displaystyle \frac{6000}{240} =\frac{240x}{240}[/tex]

[tex]\displaystyle x=25[/tex]

That means Donald can type 1000 words in 25 minutes. A is also equal to 6, and b is equal to 240.

__________________________________________________________

[tex]\displaystyle {\bf\frac{6}{240} =\frac{x}{1000}[/tex]

Solving this proportion indicates Donald could type his essay in 25 minutes.

__________________________________________________________

Answer:

520 Students

Step-by-step explanation:

If you multipy 650 by .8 you will get 520 and that is the percentage of students that is going.

Answer:

520 students will attend the field trip.

Step-by-step explanation:

The percentage of a number can be found by multiplying the percentage by the amount.

In this case, 650 times 80% is 520.

We can check our answer by dividing 520 by 650 and converting the decimal into a percentage.

Answer: Vance.

Step-by-step explanation: Vance got the better deal. this is because Marco bought 5 movies, and paid $53.10. Vance paid $31.71, and saved $2.50, because 53.10 rounds to 50, and 31.71 rounds to 30, and Vance added $1.71, and Marco added $3.10, making Vance get the better deal.

Answer:(-4,1)

Step-by-step explanation:x values cannot be the same

Answer:

14X + 11

Step-by-step explanation:

Answer:

x-intercept:8

y-intercept:16

Step-by-step explanation:

This is the equation of a straight line. When the line crosses the x-axis that is the x- intercept, the corresponding y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.

8x-(4×0)=-64

         -8x=-64

             x=8   <=  the x-intercept.

Similarly, when the line crosses the y-axis the corresponding x- coordinate will be zero. Let x = 0 and solve for y.

(8×0)-4y=-64

        -4y=-64

           y=16    <=  the y-intercept .

Answer:

x = 1/2

y = -8

Step-by-step explanation:

Let's solve for x.

8x−4y=−64

Step 1: Add 4y to both sides.

8x−4y+4y=−64+4y

8x=4y−64

Step 2: Divide both sides by 8.

8x/8 = 4y−64 / 8

x= 1/2 y−8

The modulus increases by a factor of 10 and the argument increases by 5π/3.

The modulus of the complex number is the magnitude of the complex number. If z is the complex number such that z= p+qi

Then the modulus of the z will be =|z|= √p²+q²

We have,

z = 5 – 5i √3

So,

Now rewrite this given equation in the form of z = r(CosΘ + iSinΘ),

For this first calculate the modulus,

|Z| = √((5√3)² + 5²)

|Z| = √(25×3 + 25)

|Z| = √(100) = 10

And,

Argument, Θ = tan⁻¹ (b/a)

Θ = tan⁻¹ (5√3/5)

Θ = tan⁻¹ (√3)

Θ = 71

Therefore, the modulus increases by a factor of 10, and the argument increase by 5π/3.

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Answer:

Step-by-step explanation:

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[tex]y - 2 = 3(x - 7)[/tex]

[tex]y - 2 = 3x - 21[/tex]

Add sides 2

[tex]y - 2 + 2 = 3x - 21 + 2[/tex]

[tex]y = 3x - 19[/tex]

Subtract sides 3x

[tex] - 3x + y = - 3x + 3x - 19[/tex]

[tex] - 3x + y = - 19[/tex]

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Answer:

d:$167,00

Step-by-step explanation:

Answer:

Definitely not math but English

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

hope this help if it dont sorry i tried

Answer:

4188.79 cm^3

Step-by-step explanation:

Use formula for volume of sphere from radius.

Answer:

x = 1, y = 2

Step-by-step explanation:

Original equations:

[tex]x+y=3\\2x+5y=12[/tex]

Substitute y and solve for x:

[tex]y=3-x\\2x+5y=12[/tex]

[tex]2x+5(3-x)=12[/tex]

[tex]2x+15-5x=12[/tex]

[tex]-3x=-3[/tex]

[tex]x=1[/tex]

Plug in x to solve for y:

[tex]1+y=3[/tex]

[tex]y=2[/tex]

x = 1, y = 2

Note: You can also substitute x and solve for y, then plug in y to solve for x. I did not do that here.

Answer:

x+y=3

x=3-y equation 1

2x+5y=12

2(3-y)+5y=12

6-2y+5y=12

6+3y=12

3y=12-6

y=6÷3

y=2 equation 2

again ,

putting value of equation 2 in equation 1

x=3-y

x=3-2

x=1

Answer:

i think its b

Step-by-step explanation:

Answer:

Choice B.

Step-by-step explanation:

BC ≅ FE.

You need 2 sides and the included angle to be congruent.

Answer:

B

Step-by-step explanation:

X is about 4.5 times the amount given, so B. 337 1/2

Answer:

337.5 or 337½

Step-by-step explanation:

y∞x

y=kx(where k is the constant)

75=½k

cross multiplication

75×2=k

150=k

therefore the formula connecting x,k and y is y=150x

y=150×2¼

y=150×9/4

y=1350÷4

y=337.5or 337½

Answer:

The x-interceptis1 and y-intercept is-4

Answer:

x intercept: 1

y intercept: -4

Step-by-step explanation:

If you look at where the line hits the x axis, it hits it at 1. And if you look at where the line hits the y axis it hits it at -4.

Answer:y

=

4

3

x

−

9

Explanation:

Given -

x

1

=

6

y

1

=

−

1

Slope

m

=

4

3

Given the slope and a point, the formula for the straight line equation is

(

y

−

y

1

)

=

m

(

x

−

x

1

)

y

−

(

−

1

)

=

4

3

(

x

−

6

)

y

+

1

=

4

3

x

−

6

.

4

3

y

+

1

=

4

3

x

−

8

y

=

4

3

x

−

8

−

1

y

=

4

3

x

−

9

Answer:

f(g(-2))=-122

Step-by-step explanation:

You need to put the f(x) ewuation into the g equation, and then solve.

Answer:

$66.62

Step-by-step explanation:

10.25 x 6.5 = 66.625

Answer:

9x-12

Step-by-step explanation:

3*x = 3x

3*-4= -12

3x - 12 = 12x

12x-3x = 9x

9x-12

Answer:  x = -4/3

Step-by-step explanation:

3(x−4)=12x

Step 1: Simplify both sides of the equation.

3(x−4)=12x

(3)(x)+(3)(−4)=12x  (Distribute)

3x+−12=12x

3x−12=12x

Step 2: Subtract 12x from both sides.

3x−12−12x=12x−12x

−9x−12=0

Step 3: Add 12 to both sides.

−9x−12+12=0+12

−9x=12

Step 4: Divide both sides by -9.

-9x/-9 = 12/-9

x = -4/3

Answer:

-1

Step-by-step explanation:

parallel lines always have the same slope

Answer:

x = 2

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (2, 3), (2, 5), (2, 7) all with an x- coordinate 2, thus

x = 2 ← equation of vertical line

Answer:

x = 2

Step-by-step explanation:

Firstly, when a line is parallel to the y axis, the equation of the line is x = the x position common to the points, in this case, x = 2.

but if you want to calculate,

from the points,

x1 = 2, y1 = 3

x2 = 2, y2 = 5

x3 = 2, y3 = 7

using the formula,

y-y1/x-x1 = y2-y1/x2-x1

y-3/x-2 = 5-3/2-2

y-3/x-2 = 2/0

crossing we have,

2(x-2) = 0(y-3)

2x - 4 = 0

2x = 4

x = 2

Answer:

$0.99x plus $1.29y = 15.36

Step-by-step explanation:

The true statement about 3/5+7/10 is (a) the sum is a mixed number

The expression is given as:

3/5 + 7/10

Take the LCM and add both numbers

3/5 + 7/10 = (6 + 7)/10

Evaluate the sum

3/5 + 7/10 = 13/10

Simplify

3/5 + 7/10 = 1 3/10

The fraction 1 3/10 is a mixed number

Hence, the true statement about 3/5+7/10 is (a) the sum is a mixed number

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Answer is A. y=3x−2 (i took the quiz on k12 and this was the correct answer so it may be different depending on your school)

Answer:

( Proof is down below!! )

I hope this helped!!

-GXLDIE <3