Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
Answer:
(5h-4t)(5h+4t)
Step-by-step explanation:
25h² - 16t²
adding and subtracting 20ht from it (√25 and √16 = 5x4 = 20):
25h² + 20ht - 20ht -16t²
factor:
(5h-4t)(5h+4t)
Answer:
41%
Step-by-step explanation:
The table shows that 36 of the 88 students that like traveling out of state do not like camping. That percentage is ...
36/88 × 100% ≈ 41%
N = 9
explanation: If you tilt triangle FGH to where it matches triangle PQR, 9 is matched with N.
more help:
Q = G
10.5 = 7
P = F
H = R
4 = 6
9 = N
Answer:
Always
Step-by-step explanation: