X = y - 3
2x + y = 12
pls hurry i need badly

Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

And,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

We know that,

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Therefore, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

The measure of the value of x is 55°.

We have,

Complementary angles are two angles that add up to 90 degrees.

Supplementary angles are two angles that add up to 180 degrees.

Now,

The ray intersects two other rays forming a right angle.

This means,

It is a complementary angle.

i.e

x + (x - 20) = 90

x + x - 20 = 90

2x = 90 + 20

2x = 110

x = 55°

Thus,

The measure of the value of x is 55°.

Learn mroe about complementary angles here:

https://brainly.com/question/15380971

#SPJ12

Answer:

[tex]7x+ 35[/tex]

Step-by-step explanation:

Multiply every thing in the brackets by 7:

[tex]7*x=7x[/tex]

[tex]7*5 = 35[/tex]

Answer: need to clam and not worry to much and study a lot to be come great and great at math

Step-by-step explanation: i try and i give it all i can and not give up

Answer:

the first table

Step-by-step explanation:

step by step explanation:in a quadratic function, the second different are the same

Answer: Thats correct

Answer:

The answer is1 thank you

Answer:

88 ft²

Step-by-step explanation:

Find the area of the shaded region:

8x16= 128

Find the area of the un-shaded region:

5x4=20

20x2 regions= 40 ft² total

since the unshaded region is excluded from the shaded region subtract the area of the shaded region by the area of the unshaded region

128-40= 88

A= 88 ft²

Answer:

97

Step-by-step explanation:

The perimeter is adding each side together, the equation is 3+33+15+33+3+10

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

Using the geometric mean rules for this geometry, we have ...

  h = √(4·32) = 8√2

and also ...

  a = √(4·36) = 12

  b = √(32·36) = 24√2

For the problem at hand, ...

  h = 8√2 = x√y   ⇒   x = 8, y = 2

Answer:

x = 30°

Step-by-step explanation:

< A = 90° {Being vertically opposite angles }

Now

x + 90° + 2x = 180° (Being linear pair)

3x = 180° - 90°

3x = 90°

x = 90° / 3

x = 30°

Hope it will help :)❤

Answer:

26 i think

Step-by-step explanation:

Answer:

y=70° x=11

Step-by-step explanation:

.............ur welcome...........

Answer:

75 students were surveyed!

Step-by-step explanation:

strawberry: 25

coffe: 35

vanilla: 10

fudge ripple: 5

Just add that all together

[tex]25 + 35 = 60[/tex]

[tex]10 + 5 = 15[/tex]

[tex]60 + 15 = 75[/tex]

so 75

Answer:

1. D. Wiley has to defeat the Hairy Man three times to make him go away.

2. A. Wiley gets out of the tree without being hurt by the Hairy Man.

3. The antagonist in the story "Wiley, His Mother, and the Hairy Man" is:

“Mama is the antagonist because she finally wins the fight against the Hairy Man”.

4. The antagonist in the story "Wiley, His Mother, and the Hairy Man" is:

“Mama is the antagonist because she finally wins the fight against the Hairy Man”.

5. The most important lesson Wiley learns in "Wiley, His Mother, and the Hairy Man" is, 'It is better to be a clever person than a strong one.' Option C.

6. They confront the that their partner/friend giles corey died becasue he was phused over to confessed to witchcraft.

Step-by-step explanation:

1. "Wiley, His Mother, and the Hairy Man" is a musical play that has it depends on an oral established story of the South of the United States.

Wiley is the hero of the play as he is the character that endures the principle struggle, against his adversary the Hairy Man, and furthermore on the grounds that the play is centered around his contention as well as on Wiley's association with his mother.

3. An antagonist is a person who goes against the main force and changes it over a course of time.

In the mentioned story, it is Wiley’s Mama who keeps telling him how to keep changing the hairy man into various forms and then finally wins at her own game.

4. An antagonist is a person who goes against the main force and changes it over a course of time.

In the mentioned story, it is Wiley’s Mama who keeps telling him how to keep changing the hairy man into various forms and then finally wins at her own game.

5. "Wiley, His Mother, and the Hairy Man" is a short story for children with a beautiful message. The story depicts how Wiley deals with a Hairy man who was quite dangerous to be handled alone and who used to steal baby. One day it so happens that, when Hairy man was about to steal a baby, Wiley changed that baby for a pig, thus defeating the Hairy man.

This way Wiley learned a lesson that its always better to be a clever person than a strong one. Wiley's smartness helped him to save the life of a baby.

6. I just learned that last week

Answer:

Hey! do not go to brainly for this, sometimes brainly can be no help and people will scam for points, or maybe try to hack you (pt virus) with those links saying the answers there.. I am not saying this for points but go to https://www.varsitytutors.com/basic_geometry-help/how-to-find-the-distance-between-clock-hands for that

Step-by-step explanation:

So don't waste your time on brainly finding answers, you can run out of points fast, some people wont answer at all.

Answer:

the answer is no.a parallelogram is not a rectangular but the opposite is true. the reason is a cause of parallelogram's diagonals.they might not be equal in parallelogram but in rectangular they must be equal.

Step-by-step explanation:

Answer:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. So yes it is a parallelogram.

Step-by-step explanation:

Diagonals of parallelogram are not necessarily equal. This is a known property of a parallelogram. If all angles are equal, then it means its opposite angles are also equal which is a condition for a quadrilateral to be called parallelogram. If all sides are equal then, opposite sides are also equal.

Answer:

4

Step-by-step explanation:

she will need two more hours to buy the dress

Answer:

1:7

Step-by-step explanation:

125:875

Then simply

The GCF between the two is 125:

125/125 = 1

875/125 = 7

So, the answer is 1:7!

Answer:

50°C

Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

Answer:

16

Step-by-step explanation:

i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds

Answer:

[tex] \sec( \alpha ) = \frac{1}{ \cos( \alpha ) } \\ \sec( \alpha ) = \frac{19}{2} [/tex]

Answer:

Part A: y = 3x

Part B: The relationship of y to x is y is 3 times as much as x.

Part C: (0,0), (1,3), (2,6), (3,9), (4,12)

Step-by-step explanation:

Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.

Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.

Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.

x = 0 -> y = 3(0) = 0; (0,0)

x = 1 -> y = 3(1) = 3; (1,3)

x = 2 -> y = 3(2) = 6; (2,6)

x = 3 -> y = 3(3) = 9; (3,9)

x = 4 -> y = 3(4) = 12; (4, 12)

Cheers.

Answer:

x=120 (opp. angles of //gram)

Step-by-step explanation:

Because DA//CB and AB//DC (given)

Therefore ABCD is a parallelogram (opp. sides equal)

Therefore,

∠DAB = ∠DCB (opp. ∠s of //gram)

x = 120

do u still need the answer or no cuz its kinda long

Answer:

2(x – ½)(x + ½)

Step-by-step explanation:

2x² – ½

The above expression can be factorised as follow:

2x² – ½

2 is common to both 2 and ½. Thus,

2x² – ½ = 2[x² – ¼]

Recall

(½)² = ¼

Thus,

2[x² – ¼] = 2[x² – (½)²]

Difference of two squares

2(x – ½)(x + ½)

Therefore,

2x² – ½ = 2(x – ½)(x + ½)

Answer:

x + 0.25

Step-by-step explanation:

In this equation, x is representing an integer ( - 0.5, - 0.75, 0, 0.25) whilst 0.25 is a constant