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:
z = 3
Step-by-step explanation:
Similar polygons have the ratio of their corresponding sides equal to each other. There:
9/z = 6/2
Cross multiply
z*6 = 9*2
6z = 18
z = 18/6
z = 3
200 times. Because 1000 divided of 5 is 200. You could divide it using the algorithm.
Answer:
3/4
Step-by-step explanation:
15/20=3/4 if you divide both sides by 5
77 - 2 = 75
75 ÷ 5 = 15
The number is 15.
Hope this helped!