Answer:
one solutions
Step-by-step explanation:
Answer:
Solving the equation
using quadratic formula we get 
Step-by-step explanation:
We need to solve the equation
using quadratic formula.
The quadratic formula is:

where a=1, b=-8 and c=41
Putting values in formula and finding x

So, Solving the equation
using quadratic formula we get 
The two enclosures will need three equal fences coming out from the wall and meeting another fence running parallel to the wall. If the fences coming out from the wall are x metres long the parallel fence will be (132 - 3x) metres long.
The area A = x(132 - 3x) = 132x - 3x^2
The derivative of A = zero when 132 - 6x = 0 which means the maximum area is when x = 22m
The maximum area = 22 x (132 - 3 x 22) = 1452 m^2
If you don’t know how to find derivatives then you could sketch the graph of y = x(132 - 3x).
This is an inverted parabola (hill) with x intercepts at 0 and 132/3 = 44.
The maximum point (top of the hill) is halfway between 0 and 44 I.e. 22m
Try any other value for x and the area will be smaller.
Answer:
Step-by-step explanation:
The two x angles on the right are supplementary which means they add up to 180 degrees
5x + 12 + 7x - 24 = 180
12x - 12 = 180
12x = 192
x = 192/12
x = 18
5x + 12 and y are corresponding angles and are therefore equal
5(18) + 12 = 90 + 12 = 102
Therefore y = 102