Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
Answer:
∠ PQR = 70°
Step-by-step explanation:
The tangent- tangent angle PQR is half the difference of the intercepted arcs.
minor arc PR = 360° - 250° = 110°
Then
∠ PQR = 
(250 - 110)° = × 140° = 70°
(x,y)
(2,1)
sub 2 for x and 1 for y and see if you get a true statemtn
2=x
y=1
1=1-2
1=-1
false
no it is not a soluiton
<h3>Annual percent growth is 4.37 %</h3>
<em><u>Solution:</u></em>
<em><u>The increasing function is given as:</u></em>
Where,
y is future value
a is initial value
r is growth rate
t is number of years
From given,
a = 5000
y = 9500
t = 1997 to 2012 = 15 years
r = ?
<em><u>Substituting the values we get,</u></em>
Thus annual percent growth is 4.37 %
