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:
Step-by-step explanation:
Given:
Length = 27/4 in
Width = 27/2 in
5.55% of the cake = 5.55/100
= 1/18
Therefore, 18 equal squares of cake where 1 piece is 5.55 % of the cake
Since, the cake is twice as long as it is wide, so that means cut half the cake (27/4 × 27/4) into 9 pieces.
Therefore, each has a side of 1/3 * 27/4
= 9/4 inches.
Answer:
The total number of trees the farmer planted = 1056 trees
Step-by-step explanation:
It is given that,
A tree farmer Planet 3 types of trees on 22 acres of land and,
he planted 48 trees per acre
<u>To find total number of plants</u>
There are 22 acres of land.
In one acre he planted 48 trees.
Therefore total number of plants in 22 acers = 22 * 48 = 1056 trees
