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daser333 [38]
4 years ago
11

Determine whether a triangle can be formed with the given side lengths.

Mathematics
1 answer:
choli [55]4 years ago
5 0
We can use triangle inequality to prove it. What this rule is, it's basically if u add up 2 sides of the triangle, the length must be longer than the third side, check all 3 sides, and if all sides matches with the rule, a triangle is possible.
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Given f'(x)=(x-4)(6-2x) find the x-coordinate for the relative minimum of the graph f(x).
vlabodo [156]
<span>The graph you plotted is the graph of f ' (x) and NOT f(x) itself. </span>

Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get

f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24

So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5

<span>f ' (x) = (x-4)(6-2x)
</span><span>f ' (3.5) = (3.5-4)(6-2*3.5)
</span>f ' (3.5) = 0.5

The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.

So the final answer is C) 3
5 0
3 years ago
I am not sure if i did this right she wants us to distribute and get only one x on one side and find the answer.
umka21 [38]


I got x=18


3(x-4)-2(3x+4)=4(3-x)+5x+4

3x-12-6x-8=12-4x+5x+4

3x-20=16+x

2x=36x

x=18

5 0
3 years ago
What is the sum of the polynomials? (9x4−13x3−x−7)+(7x3−2x+1) A.) −6x^6+9x^4−3x^2−6 B.)−6x^6+9x^4−x−8 C.)9x^4−6x^3−x−8 D.)9x^4−6
irinina [24]
(9x^4-13x^3-x-7)+(7x^3-2x+1)=
9x^4-13x^3-x-7+7x^3-2x+1=
9x^4+(-13+7)x^3+(-1-2)x-7+1=
9x^4+(-6)x^3+(-3)x-6=
9x^4-6x^3-3x-6

Answer: Option <span>D.)9x^4−6x^3−3x−6</span>
5 0
3 years ago
Read 2 more answers
Find the perimeter of the figure. 2 1/4 in, 4 1/12in, 3 2/3in
vitfil [10]
 it would = out to be  9 18/73

4 0
3 years ago
Find the area of this parallelogram.
Yuki888 [10]
Area= length * height
21*9 = 189cm^2
6 0
3 years ago
Read 2 more answers
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