The slope that passes both points is 0.
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
Answer:
Options (2), (3), (5) and (6)
Step-by-step explanation:
Let the number of bicycles = x
and the number of treadmills = y
Since, number of new bicycles must be more than
times of new treadmills,
Inequality representing the statement will be,
x >
y
Each bicycle costs $340 and each treadmill costs $670.He must spend less than $5650,
Inequality will be,
340x + 670y < 5650
And the number of bicycles and treadmills should be greater than 0.
x > 0
y > 0
Therefore, constraints for this situation are,
Option (2)
Option (3)
Option (5)
Option (6)
Answer:
first calculate the area of the arch using:
O/360×πr2
O represents theta
second calculate the area of the circle using πr2
finally minus the answer gotten from the two different areas
thats how u get the area of the shaded area