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Finger [1]
2 years ago
5

Tan x + sqrt(3) = - 2 tan x

Mathematics
1 answer:
Svet_ta [14]2 years ago
8 0

9514 1404 393

Answer:

  nπ -π/6 . . . for any integer n

Step-by-step explanation:

  tan(x) +√3 = -2tan(x) . . . . . given

  3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3

  tan(x) = -√3/3 . . . . . . . . . . divide by 3

  x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x

This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...

  x = n·π -π/6 . . . . for any integer n

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Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
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Y=-7/2x+1/2
1. find slope
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8 0
3 years ago
Read 2 more answers
1. Grace was given the equation 2x + 20 = 15. She decides to add 10 to both sides of the equation. a.) Is that an acceptable mov
vlada-n [284]

9514 1404 393

Answer:

  • yes
  • 2x +30 = 25

Step-by-step explanation:

Adding the same number to both sides of the equation is an acceptable move. The addition property of equality tells Grace that the value of the variable will remain unchanged by such a move.

Her new equation would be ...

  2x +20 +10 = 15 +10

  2x +30 = 25 . . . . the result of Grace's move

_____

<em>Additional comment</em>

There may be very good reasons why Grace would want to do that. If solving the equation is Grace's intent, that move would be counterproductive. For the purpose of solving the equation, it would be more productive to either subtract 20 from both sides, or divide both sides by 2. These steps would give, respectively, ...

  2x = -5

  x +10 = 7.5

6 0
3 years ago
What is the result when the number 39 is decreased by 29%?
romanna [79]

Answer:

27.69

Step-by-step explanation:

7 0
3 years ago
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Pasta comes with tomato sauce and can be ordered with some, all, or none of these ingredients in the sauce: {onions, garlic, car
Radda [10]

Answer:

FORMULA USED-

NUMBER OF SUBSETS OF A SET WITH n ELEMENTS= 2^n

Here our set is { onions, garlic, carrots, brocoli, shrimp, mushrooms, zucchini, green pepper}

Different variations available for ordering pasta with tomato sauce= 28 = 256 ( As here n= 8)

8 0
3 years ago
3.x4 - 2x2 + 15.x2<br> Which product Is the factored form of the polynomial
Dmitry_Shevchenko [17]

Answer:

3*4=12

12-2=10

10*2=20

20+15=35

35*2=70

Step-by-step explanation:

4 0
3 years ago
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