(4 + 2x)(6 + 2x) =
4(6 + 2x) + 2x(6 + 2x) =
24 + 8x + 12x + 4x^2 =
4x^2 + 20x + 24 <==
Answer: No
Step-by-step explanation:
I took a test and this answer was correct.
Answer:
a = 5.81 m
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2
where b= 1.5 and c= 6
a^2 +1.5^2 = 6^2
a^2 +2.25 = 36
Subtract 2.25 from each side
a^2 +2.25-2.25 = 36-2.25
a^2 = 33.75
Take the square root of each side
sqrt(a^2) = sqrt(33.75)
a = 5.809475019
We only take the positive root because length must be positive
6^2 = x (x - 9)
x^2 - 9x - 36 = 0
(x -12)(x + 3) = 0
x - 12 = 0; x = 12
x +3 = 0; x = -3
so in this case x = 12 then DC = 12 - 9 = 3
y^2 = 12^2 - 6^2
y^2 = 144 - 36
y^2 = 108
y = 10.4
Keeping in mind that the area of a rectangle is simply width * length, if we get the area of the larger rectangle, and then
subtract the area of the smaller rectangle, we're in effect making a hole in the larger rectangle's area and thus what's leftover is the shaded area.