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777dan777 [17]
2 years ago
6

What is the length of the longest side of the triangle if the left side is 2x+12 and the bottom number is 6x-2 and the right sid

e is 5x-9
Mathematics
1 answer:
Ganezh [65]2 years ago
7 0

Answer:

Depends on the value of x. If x = 3, the triangle has sides 18, 6, 16 which satisfies the triangle inequality, so 2x+12 is longest in this case. If x is very large, the triangle inequality is still satisfied, and 6x-2 is the longest side.

Step-by-step explanation:

You might be interested in
Both sum of three consecutive integers is 108 what are the three integers ​
Brilliant_brown [7]

Answer:

35 , 36 , 37

Step-by-step explanation:

Let the consecutive integers be x, (x + 1) , (x +2)

x + x + 1 + x +2 = 108

x + x + x + 1 + 2 = 108          {Combine like terms}

     3x + 3   = 108          {Subtract 3 from both sides}

             3x = 108 - 3

            3x = 105            {Divide both sides by 3}

              x = 105/3

               x = 35

The three integers are, 35 , 36 , 37

4 0
3 years ago
6(2x+y)+2(x+4y) how can I solve this
Aliun [14]

Answer:

Look at explanation i wasn't too good at this but i could get this far otherwise i didn't know what to do!

Step-by-step explanation:

6 x 2x = 12x  6 x y= 6y

12x+6y + 2x+4y

12x+2x= 14x

4y+6y= 10y

14x+10y

3 0
3 years ago
Which function represents a reflection of f(x) = 5(0.8)x across the x-axis?
lukranit [14]

The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

<h3>Reflection of functions and coordinates</h3>

Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>

Given the exponential function below

f(x) = 5(0.8)^x

If the function f(x) is reflected over the x-axis, the resulting function will be

-f(x)

This means that we are going to negate the function f(x) as shown;

f(x) = -5(0.8)^x

Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

Learn more on reflection here: brainly.com/question/1908648

#SPJ1

8 0
2 years ago
How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160
Marina CMI [18]
\bf \qquad \qquad \textit{sum of a finite geometric sequence}&#10;\\\\&#10;S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;r=\textit{common ratio}\\&#10;----------\\&#10;a_1=4\\&#10;r=3\\&#10;S_n=160&#10;\end{cases}

\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)&#10;\\\\\\&#10;160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1&#10;\\\\\\&#10;81=3^n~~&#10;\begin{cases}&#10;81=3\cdot 3\cdot 3\cdot 3\\&#10;\qquad 3^4&#10;\end{cases}\implies 3^4=3^n\implies 4=n
3 0
3 years ago
(04.01)
otez555 [7]

Answer:

A function can be any set of points where one input is equal to one output. You cannot have two X values with the same Y value, for example.

<u>I believe the answer is neither</u> because in both sets you can see they have different Y values for the X values 2 and 9.

6 0
3 years ago
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