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denpristay [2]
3 years ago
8

Please help i need the answer asap!!!

Mathematics
2 answers:
IrinaVladis [17]3 years ago
7 0
Choice b because it it now where’s my brainliest
MA_775_DIABLO [31]3 years ago
5 0

Answer:

  • Choice b.

Step-by-step explanation:

Replace (x, y) with (1, 1) and verify if the equations are correct.

You would ignore the x and y in the equations. Testing one of each pair.

  • a. 3 + 2 = 3, incorrect
  • b. 7 + 2 = 9, correct
  • c. 8 + 1 = 7, incorrect
  • d. 8 - 2 = 4, incorrect

It is obvious that only b. is correct.

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What are the coordinates of the terminal point determined by θ=7π/6?
erma4kov [3.2K]
Cos ( theta ) = cos 7π/6 = -√3/2
sin ( Theta ) = sin 7π/6 = -1/2
Coordinates of the terminal points are: ( -√3/2,  -1/2 ) 
6 0
3 years ago
Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1
professor190 [17]

Given:

The ratio is \dfrac{3}{1}.

To find:

Inverse tangent of the given ratio.

Solution:

We know that,

Inverse tangent of the ratio \dfrac{3}{1} = \tan^{-1}\dfrac{3}{1}

                                                 = \tan^{-1}3

Using scientific or graphing calculator, we get

Inverse tangent of the ratio \dfrac{3}{1} = 71.565^\circ

Round to the nearest degree

Inverse tangent of the ratio \dfrac{3}{1}\approx 72^\circ

Therefore, the correct option is C.

3 0
3 years ago
The acceleration of an object (in m/s^2) is given by the function a(t) = 9 sin(t). The initial velocity of the object is v(0) =
pentagon [3]

a) Acceleration is the derivative of velocity. By the fundamental theorem of calculus,

v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du

so that

v(t)=\left(-11\frac{\rm m}{\rm s}\right)+\int_0^t9\sin u\,\mathrm du

\boxed{v(t)=-\left(2+9\cos t)\right)\frac{\rm m}{\rm s}}

b) We get the displacement by integrating the velocity function like above. Assume the object starts at the origin, so that its initial position is s(0)=0\,\mathrm m. Then its displacement over the time interval [0, 3] is

s(0)+\displaystyle\int_0^3v(t)\,\mathrm dt=-\int_0^3(2+9\cos t)\,\mathrm dt=\boxed{-6-9\sin3}

c) The total distance traveled is the integral of the absolute value of the velocity function:

s(0)+\displaystyle\int_0^3|v(t)|\,\mathrm dt

v(t) for 0\le t and v(t)\ge0 for \cos^{-1}\left(-\frac29\right)\le t\le3, so we split the integral into two as

\displaystyle\int_0^{\cos^{-1}\left(-\frac29\right)}-v(t)\,\mathrm dt+\int_{\cos^{-1}\left(-\frac29\right)}^3v(t)\,\mathrm dt

=\displaystyle\int_0^{\cos^{-1}\left(-\frac29\right)}(2+9\cos t)\,\mathrm dt-\int_{\cos^{-1}\left(-\frac29\right)}^3(2+9\cos t)\,\mathrm dt

\displaystyle=\boxed{2\sqrt{77}-6+4\cos^{-1}\left(-\frac29\right)-9\sin3}

4 0
3 years ago
F(x)=4x^3+3x-2 and g(x)=2x+2 what is the value of f(x)=g(x)?
Arlecino [84]

Answer:

x ≈ 0.916875

Step-by-step explanation:

→ Equate the expressions to each other

4x³ + 3x - 2 = 2x + 2

→ Get all the terms to one side

4x³ + x - 4

→ Solve for x

x ≈  0.916875

8 0
2 years ago
Seven less than the difference of five times a number and two.
zaharov [31]

Answer:

(5x - 2) - 7.

Step-by-step explanation:

The difference of 5 times a number and 2 is 5x -2.

7 less makes it (5x - 2) - 7.

5 0
3 years ago
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