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guajiro [1.7K]
3 years ago
9

For the line passing through the points (-3,1) and (2,-5)

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

Answer:

y=-6/5x-2.6

Step-by-step explanation:

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Substiution method: y + 9 = 1/5x and
uranmaximum [27]
Y+9=1/5x menjadi y= 1/5x -9
sesudah ini sibtusika n dalam persamaan 4x - 5y = -15x
<span>                                                             4x -5(1/5x-9)= -15 x
                                                             4x + x+45=-15x
                                                             5x +45 = -15x                                                                                                            45=-20x 
                                                              x=-45/20
                                                              x= -9/4
 
 y+9 =1/5x
   y      = 1/5(-9/4)-9
      y     = -189/20
  (-</span>9/4,-189/20)
4 0
3 years ago
Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4
djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4}

if \lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b then y = b is horizontal asymptote

Then:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0
3 years ago
Read 2 more answers
Triangle ABC has angle measures as shown. What is the value of X? Show your calculations.
dezoksy [38]
180-96= 84
That means 8x+12=84
84-12=72
That means 8x=72
72÷8=9
therefore X=9
8 0
3 years ago
What is the answer for x²+9x-10
Alexxandr [17]

(x-1) (x + 10)

Step-by-step explanation:

I think it's this but I'm not sure if I did it right

8 0
2 years ago
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Which of the following statements is true? A) A counting semaphore can never be used as a binary semaphore. B) A binary semaphor
saveliy_v [14]

Answer:

C

Step-by-step explanation:

Statement C of the following statements is true

C). Spin-locks can be used to prevent busy waiting in the implementation of semaphore.

5 0
3 years ago
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