Answer:
5.
x + 2(x + 1) = 8 --> x = 2
y = 2 + 1 = 3
7.
3(9 + 2y) + 5y = 20 --> y = -7/11
x = 9 + 2(-7/11) = 85/11
9.
3(-1 - 2y) + 5y = -1 --> y = -2
x = -1 - 2(-2) = 3
Answer:
Approximately 50 square feet (50.24 to be exact)
Step-by-step explanation:
If you're using 3.14 for π, and the area of a circle is A=πr2,
(3.14)(4)^2 =?
(3.14)(16) = 50.24
Therefore the answer would be about 50 square feet.
So,
Home ---- gym = 3.6 mi.
gym ---- store = .7 mi.
store ----- home = x
3.6 + .7 + x = 7.2 mi.
Collect Like Terms
4.3 + x = 7.2
Subtract 4.3 from both sides
x = 2.9
The distance from the store to her home is 2.9 miles.
Answer:
<h3>
The width (side perpedicular to the barn):
<u>x = 8 m</u></h3><h3> The lenght (side parallel to the barn):
<u>y = 16 m</u> </h3>
Step-by-step explanation:
x - the width of the barn
She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:
y = 32 - 2x
Area of the fencing: A = x•y
A(x) = x•(32 - 2x)
A(x) = -2x² + 32x ← quadratic function
The maximum value of quadratic function occurs at: 
a = -2, b = 32

32-2x = 32 - 2•8 = 16