Answer:
It is not a right triangle.
Step-by-step explanation:
We can prove this by Pythagorean theorem because it represents to a right triangle.
Pythagorean theorem:
a² + b² = c²
Now substitute the values.
Note: the longest side will represent c
So,
a = 10 m
b = 16 m
c = 20 m
10² + 16² = 20²
The objective here is to make them equal.
100 + 256 = 400
356 ≠ 400
They are not equal so it is not considered a right triangle.
Factor the following:
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)
30?
30pi = 2pi r
30pi / 2pi = 15
15 = r
double the radius to get the diameter
15)2 =30
The number is increasing by 2 every time.
78 x 2 = 156
-4 + 156 = 152
The 78th term is 152
