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Klio2033 [76]
3 years ago
13

Solve for x. Round to the nearest tenth of a degree, if necessary.

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0

Answer:

52.6°

Step-by-step explanation:

cos(theta)= adj/hyp

hyp=28

adj=17

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How to find the vertices of the hyperbole
torisob [31]

The answer is the second one

If you want a fast explanation

You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal

If you check the vertices points those indicates the length of 2a thus thatll be 6

To get the center just use middle point equation and you'll get (1,3)

Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis

A=3

B=?

C=6

We use Pythagoras so

b =  \sqrt{(6) ^{2}  - (3) ^{2}  }

Thus you get

b =  \sqrt{27}

With that data now you can get the equation

You know that below (y-3)^2 there should be a^2 so that means there will be the 9

And in the (x-1)^2 there should be b^2 so that means there will be the 27

PD. The 3 besides y, and 1 besides x represent the center

5 0
3 years ago
Read 2 more answers
(x+1)(x+8)=<br><br><br> can somebody help me on this
goblinko [34]
X^2+8x+x+8 simplifies to x^2+9x+8
8 0
3 years ago
Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.
Elenna [48]

Answer:

a = 14  

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}

4 0
4 years ago
What is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)​
miv72 [106K]

9514 1404 393

Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

8 0
3 years ago
taras car accelerated from 10 miles per hour to 70 miles per hour in 12 seconds. what is the approximate rate of change in the m
Rina8888 [55]

Answer:

60 mph

Step-by-step explanation:

70 - 10 = 60 miles per hour

5 0
3 years ago
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