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: 
<u>Step-by-step explanation:</u>
P = 2(l + b)
Divide both sides by 2:

Subtract b from both sides:

<em>Note: You can also multiply b by </em>
<em> if you want the left side to be one fraction.</em>

Answer:
A zero function is a function that is almost everywhere zero.
Step-by-step explanation:
Which relation IS a function? A.{(3, -2), (5, 1), (1, -1), (4, 4), (5, 4)} B.{(2, 3), (2, 2), (3, 4), (4, 3), (5, 0)} C.{(1, 5),
DIA [1.3K]
Answer:
Step-by-step explanation:
the answer is D because in D none of the x's repeat
Answer:
CP = 6
Step-by-step explanation:
The length of segment BC is given by the Pythagorean theorem:
AC² = AB² +BC²
(√61)² = 5² + BC² . . . . . fill in the given numbers
61 -25 = BC² = 36 . . . . .subtract 25
BC = 6 . . . . . . . . . . . . . . take the square root
Since the center of the circle is on AB and is tangent to BC, it must pass through point B. That is, segment BC of length 6 is one of the tangent lines from point C. The other one, to point P, must be the same length, so ...
CP = 6