Given that the area is equal to twice the perimeter and the dimensions are:
length=4x ft, width=(x+6) ft
the perimeter will be:
P=2(L+W)
P=2(4x+(x+6))
P=2(4x+x+6)
P=2(5x+6)
P=(10x+12)
Area of the rectangle is:
A=4x(x+6)
A=4x²+24x
but:
2P=A
thus
2(10x+12)=4x²+24x
20x+24=4x²+24x
thus
4x²+4x-24=0
x²+x-6=0
x²-2x+3x-6=0
x(x-2)+3(x-2)=0
(x-2)(x+3)=0
thus the answer is:
x=-3 or x=2
thus
length=4x=4*2=8 ft
width=(x+6)=(2+6)=8 ft
Answer:
Half
Step-by-step explanation:
![\left(\dfrac{22}7 - \dfrac 23 \right) \div 2 = \left(\dfrac{22}7 - \dfrac 23 \right) \times \dfrac 12](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B22%7D7%20-%20%5Cdfrac%2023%20%5Cright%29%20%5Cdiv%202%20%20%3D%20%5Cleft%28%5Cdfrac%7B22%7D7%20-%20%5Cdfrac%2023%20%5Cright%29%20%5Ctimes%20%5Cdfrac%2012)
Answer:
x=65°
Step-by-step explanation:
Full circle is 360°,then 360-90-180=90,and
x+25=90
x=90-25
x=65°
Your answer will be y=-3x+4