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
The larger number is 18
<u>EXPLANATION</u>
Let x be the larger number and y be the smaller number.
Then,
Let us add equation (1) and (2).
Divide through by 2
Put in to equation (1).
This implies that,
Answer:
108
Step-by-step explanation:
Since 18 x 2 = 36 you can just multiply 54 x 2. 54 x 2 =108
M is the centroid and the centroid divide the line in 1:2 ratio . So M divide BQ in 1:2 ratio and the total length of BQ is 18.
Therefore BM is one third of 18 . ANd one third of 18=6
So BM =6 and MQ=12 .
