A) x² + y² = 327
B) x * y = 101
Solving equation B for y²
B) y² = 10,201 / x²
Substituting this into equation A)
x² + 10,201 / x² = 327
x^4 + 10,201 = 327x²
x^4 -327x² + 10,201 = 0
Using the quartic equation calculator: http://www.1728.org/quartic.htm
x1 = 17.090169943749476
x2 = 5.909830056250525
x1 * x2 = 101
x1 + x2 = 23
We know that
The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
V - E + F = 2
clear F
F=2-V+E
in this problem
V=8
E=14
F=?
so
F=2-8+14
F=8
the answer is8 faces
Answer:

Step-by-step explanation:
Given
Base:




Required
Determine the volume (in litres)
First, we need to calculate the area;
Base on the parameters given, we have:









So:


Answer:
£168
Step-by-step explanation:
To increase £120 by 40%, multiply 120 by 1.4
120(1.4)
= 168
So, £120 increased by 40% is £168
x>-17 any thing less thean 17