Answer:
12
Step-by-step explanation:
The sum of any two sides of a triangle must be greater than the third side.
Answer: The measures of all the three angles are 24 , 60 and 96
Step-by-step explanation:
Since the measures are given in ratio form, the first thing is to find the total ratio, which is
2 + 5+ 8 = 15
Recall that the sum of angles in a triangle is 180 ,so to calculate each angle , we have
2/15 x 180 = 24
also , 5/ 15 x 180 = 60
Finally, 8/15 x 180 = 96
The triangle is obtuse , since it is having one angle greater than 90.
It can not be acute because of the existence of 96 , for a triangle to be acute , all the angles must be less than 90 , and it can not be right triangle because there is no existence of 90
Answer:
3.2 and -0.75
Step-by-step explanation:
5x - 4 > 12
add 4 to the both sides
5x > 12 + 4
5x > 16
divide both sides by 5
x > 16/5
x > 3.2
12x + 5< -4
subtract 5 from both sides
12x < -9
divide both sides by 12
x < -0.75
Answer:
y=x\\
x=y^{2} + 12y\\
y^{2} + 12y -x = 0\\
Delta = (12^{2}) - 4.1.(-x) = 144 +4X = 36.(4+x)
\sqrt{Delta} = 6 . \sqrt{(4+x)} \\
y' = \frac{-12 + 6.(\sqrt{(4+x)}}{2} = -6 + 3.\sqrt{(4+x)}\\
y" = -6 - 3.\sqrt{(4+x)}\\\\
y' = 3.\sqrt{(4+x)} - 6\\
y''= -3.\sqrt{(4+x)} - 6\\
