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Alexus [3.1K]
3 years ago
9

Find the length of the longest side of the triangle if the perimeter is 23.

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

12 units

Step-by-step explanation:

We are told that the perimeter of this triangle is 23 units. Since the perimeter of a triangle is the sum of its three sides, we right this sum using for each side the expression that they show in the picture.

Perimeter =(3x-5)+(2x+1)+4x=23\\3x-5+2x+1+4x=23\\9x-4=23\\9x=23+4\\9x=27\\x=\frac{27}{9} =3

Therefore, the value of the unknown "x" which appears in the expressions for all of the three sides, is 3 units.

Then, the side: 3x-5 = 3(3)-5 = 9-5 = 4 units

the side 2x+1 = 2(3)+1 = 6+1 = 7 units

and the side 4x = 4(3) = 12 units (therefore this is the longest side).

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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
How do I write an equation with two points?
kramer
What you have to do is find the slope and the y intercept
The equation is y=-15/6x+14
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CAN SOMEONE PLEASE EXPLAIN ME HOW TO DO THIS?
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Hope this can help you :)

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25 POINTS ---need an explanation
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I suggest you look at the work in the pictures I attached. It examplains how you work out the problem and what the answer is

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4 years ago
Help I’m willing to give out extra point for the help that I need for these ?
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1/3 because 4 to 12 can be written as 4/12 which can be simplified to 1/3
And 1/3 of 6 is two and if you reverse the process you would 4 into 12 three times and then find what goes into 6 three times with is 2
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