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never [62]
3 years ago
6

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 11,2 Note: Write your answer in

the form 2
Mathematics
1 answer:
hjlf3 years ago
3 0
When we know 2 sides of a triangle,
the third side must be less than the sum of the other 2 sides and
<span>the third side must be longer than the difference of the other 2 sides.
If the 2 sides are 2 and eleven, the third side must be greater than 9 and less than 13.

Source:
http://www.1728.org/trianinq.htm


</span>
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Two system of equations 2y =14-2x and y=-x + 7 is graphed. What is the solution to the system of equations
Trava [24]
<h2>Answer:</h2>

To solve this system, we will use the graphing method.

Based on the graph shown below, we can conclude that this system has infinite solutions, because they are the same line.

6 0
3 years ago
Read 2 more answers
Test the series for convergence or divergence (using ratio test)​
Triss [41]

Answer:

    \lim_{n \to \infty} U_n =0

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given series is an alternating series

∑(-1)^{n} \frac{n^{2} }{n^{3}+3 }

Let   U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }

By using Leibnitz's rule

   U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }

 U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}

Uₙ-Uₙ₋₁ <0

<u><em>Step(ii):-</em></u>

    \lim_{n \to \infty} U_n =  \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }

                       =  \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }

                    = =  \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }

                       =\frac{1}{infinite }

                     =0

    \lim_{n \to \infty} U_n =0

∴ Given series is converges

                       

                     

 

3 0
3 years ago
Which is an equation of the line that is perpendicular to 3x+y=-5 and passes through the point (3, -7)?
nataly862011 [7]

Answer:

y+7=1/3(x-3) in point slope

y=1/3x-8 in slope intercept form

Step-by-step explanation:

First put 3x+y=5 in slope-intercept form (y=mx+b)

y=-3x+5

Give that the slope is -3 the perpendicular slope would be 1/3

now using the points (3.-7)

y+7=1/3(x-3) in point slope

y=1/3x-8 in slope intercept form

7 0
3 years ago
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Point A and point B are placed on a number line. Point A is located at -20 and point B is 5 less than point A. Which statement a
dusya [7]
The correct answer is b im sure.
3 0
3 years ago
Use complete sentences to describe why it is valid to say that both a function and its inverse describe the same relationship.
Serhud [2]

Answer:

Step-by-step explanation:

A comparison between a function and its inverse would show that the domain and range of the original function swap. The domain of the function becomes the range of the inverse, the range of the function becomes the domain of its inverse. 

Looking at ordered pairs of the function and its inverse would look like this:

(2,4) on the original function becomes (4,2) on the inverse. 

While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x. 

So even though they appear different you are looking at the same relationship just as y vs. x instead of x vs. y

I hope this helped you because i barley understood this myself.

Read more on Brainly.com - brainly.com/question/2834818#readmore

3 0
3 years ago
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