9514 1404 393
Answer:
m∠B < m∠A < m∠C
Step-by-step explanation:
We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.
For n = 4, the side lengths are ...
a = 2(4) = 8
b = (4) +3 = 7
c = 3(4) -2 = 10
The longest side is opposite the largest angle, so the ordering of angles is ...
m∠B < m∠A < m∠C
_____
The triangle inequality requires all of these inequalities be true:
- a+b > c ⇒ 3n+3 > 3n-2 . . . always true
- b+c > a ⇒ 4n+1 > 2n ⇒ n > -1/2
- c+a > b ⇒ 5n-2 > n+3 ⇒ n > 5/4
That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.
Answer:
It's the <u>first expression </u>
Step-by-step explanation:
<em><u>9 (4a minus 3)</u></em>
(9x4a)-(9x3)
36a minus 27
Answer: yes
explanation: yes
Expand (x - 4)^2:
Subtract 12 from both sides to get one side to equal 0:
Find the values of a, b, and c in this quadratic equation:
The quadratic formula is expressed as follows:
Plug in our values into the formula:
Simplify the square root:
Prime factorize the square root:
Take any number that is repeated twice in the square root, and move it outside:
Solve the plus and minus:
The answer is {4 + 2√3, 4 - 2√3}.
Answer:
the answer is false
Step-by-step explanation:
the growth is there but it is no where near exponential as it doesnt cause a bell curve