Answer:
a=35x−x^2
Step-by-step explanation:
Having
70 ft of fencing with a
width of x
feet and knowing the perimeter of a rectangle is
p=2w+2l
we can state the length of the garden as:
70=2x+2l
and solving for l
we know the length with be:
2l=70−2x or l=35−x
And then knowing the formula for the area of a rectangle is
a=w⋅l
we can write the equation as:
a=x⋅(35−x)a=35x−x^2
Okay, I will give you the building blocks for solving this equation.
Now something you will need to remember is that a triangle will always add up to 180 degrees.
We can use y as that one unknown side in the triangle.
Knowing this, we can say (9x+16) + (6x+15) + y = 180
Then we can combine like terms like so : 15x+31+y = 180
There are two variables though. So we need more information.
Well, turns out we have the exterior angle of a straight line and the angle measures of a straight line must equal 180. We can now use (19x+3) + y = 180.
With both of these equations, you can now solve and find both of the angles
Solution for (-4z^2-11u)-5z^2=
<span>Simplifying
(-4z2 + -11u) + -5z2 = 0
Reorder the terms:
(-11u + -4z2) + -5z2 = 0
Remove parenthesis around (-11u + -4z2)
-11u + -4z2 + -5z2 = 0
Combine like terms: -4z2 + -5z2 = -9z2
-11u + -9z2 = 0
Solving
-11u + -9z2 = 0
Solving for variable 'u'.
Add '9z2' to each side of the equation.
-11u + -9z2 + 9z2 = 0 + 9z2
Combine like terms: -9z2 + 9z2 = 0
-11u + 0 = 0 + 9z2
-11u = 0 + 9z2
Remove the zero:
-11u = 9z2
Divide each side by '-11'.
u = -0.8181818182z2
Simplifying
u = -0.8181818182z<span>2</span></span>
