Recall the binomial theorem.
1. The binomial expansion of 
is
Observe that
When we multiply these by 
,
• 
and 
combine to make 
• 
and 
combine to make 
and the sum of these terms is
2. The binomial expansion is
We get the 
term when 
:
Answer:
c) I think'
Step-by-step explanation:
For 3 sides to form a triangle two sides added together need to be greater then the 3rd side. You need to check all 3 combinations:
1. 11.5 + 10.5 = 22, 22> 6.1
11.5 + 6.1 = 17.6 17.6 > 10.5
10.5 + 6.1 = 16.6, 16.6 > 11.5
This one can make a triangle.
2. 9.5 + 3.5 > 4.5
9.5 + 4.5 > 3.5
4.5 + 3.5 < 9.5
Cannot make a triangle.
3. 8 + 6.7 > 1
6.7 + 1 < 8
Cannot make a triangle.
4. Can make a triangle
5. Can
6. Can
Using it's concept, the domain of the function is given as follows:
{x| –2 ≤ x <= 5}
<h3>What is the domain of a function?</h3>
The domain of a function is the set that contains all possible input values for the function, that is, the values for which the function is defined.
The function described in this problem is defined from x = -2 until x = 5 hence the domain of the function is given as follows, by the interval:
{x| –2 ≤ x <= 5}
More can be learned about the domain of a function at brainly.com/question/10891721
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What we know is that the sum of a triangle's internal angles are 180º, and a straight angle makes 180º.
first, we have to find the third internal angle(let's call it n) so that we can use it to find the exterior angle.
(3x + 20) + (4x + 5) + n = 180
simplify:
7x + 25 + n = 180
7x + n = 155
n = 155 - 7x
Now we can add it to the external angle to find x.
(155 - 7x) + (8x + 15) = 180
simplify:
170 + 8x - 7x = 180
170 + x = 180
x = 10
Now we can substitute it to the external angle.
8 x 10 + 15 = 95
the exterior angle is 95º.
