Answer: D) 8, 15, 17
<u>Step-by-step explanation:</u>
In order for three side lengths to represent a right triangle, they must satisfy the Pythagorean Theorem: a² + b² = c² where c is the largest side.
A) 2² + 3² = 4²
4 + 9 = 16
13 = 16 FALSE
B) 4² + 5² = 6²
16 + 25 = 36
41 = 36 FALSE
C) 6² + 9² = 12²
36 + 81 = 144
117 = 144 FALSE
D) 8² + 15² = 17²
64 + 225 = 289
289 = 289 TRUE!
Answer:
x = -5
Step-by-step explanation:
If g(x)= 3x - 12, and g(x)= -27 then -27 = 3x -12
Solve for x
-27 = 3x -12, add 12 to both sides
-27+12 = 3x, add -27+12
-15 = 3x, divide both sides by 3
-5 = x
A = 5¹⁴⁹
B = 11⁹⁹
Case 1: A>B
Result: True
Case 2: A=B
Result: False
Case 3: AResult: False
The answer would be b-5+6