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erastovalidia [21]
3 years ago
6

A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, -3) and Boat B is docked at (-3.4, -3). The boats are _

__ units apart.
A 5.8
B 6.4
C 8.8
D 9.4
Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0
Answer:

A. 5.8

Step-by-step explanation:

For this type of question, we are asked to find out the distance between the boats.

By doing this we need to use the distance formula

See below.

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Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9
lorasvet [3.4K]

Using the asymptote concept, we have that:

  • The vertical asymptote is x = 9.
  • The horizontal asymptote is y = 3.
  • The end behavior is that as x \rightarrow \infty, y \rightarrow 3.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

f(x) = \frac{3x}{x - 9}

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3

Hence, the end behavior is that as x \rightarrow \infty, y \rightarrow 3.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

8 0
2 years ago
What is meter to millimeters equal
oksano4ka [1.4K]
1 meter = 1000 millimeters
5 0
3 years ago
The equation (x + 6)^2 + (y + 4)^2 = 36 models the position and range of the source of a radio signal. Describe the position of
Ilia_Sergeevich [38]

Answer:

position: (-6, -4)

range: 6

Step-by-step explanation:

The equation is that of a circle centered at (-6, -4) with a radius of √36 = 6. We presume that the "position" is that of the circle's center, and the "range" is the radius of the circle.

___

The standard form equation of a circle with center (h, k) and radius r is ...

(x -h)^2 +(y -k)^2 = r^2

Matching parts of the equation, we find ...

h = -6, k = -4, r = √36 = 6.

7 0
3 years ago
If one zero of the polynomial (a^2+9)x^2+13x+6a is the reciprocal of the other, find the value of a.​
mihalych1998 [28]

Answer: a^2x^2+9x^2+13x+6a

Step-by-step explanation:

(a^2+9) x^2+ 13x +6a

x^2(a^2+9)+13x+6a

Expand:x^2(a^2+9): a^2 x^2+9^2

x^2 a^2 +x^2*9

a^2 x^2+9x^2

  a^2 x^2+9x^2+13x+6a

5 0
3 years ago
What are the center and radius of the circle defined by the equation<br> x2 + y2 - 6x+By+21=0 ?
podryga [215]

    (x-3)2+(y+B2)2+By=-12+B24

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3 years ago
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