Answer:
18√2
Step-by-step explanation:
2√18 + 3√2 + √162
= 2√(9 * 2) + 3√2 + √(81 * 2)
= (2 * 3)√2 + 3√2 + 9√2
= 6√2 + 3√2 + 9√2
= (6 + 3 + 9)√2
= 18√2
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:
Hello! answer B
What I did was concert them to percents so
1/8 is 12.5%
1/4 is 25%
1/2 is 50% so this clearly goes from least to greatest. Hope that helps!
Solve for x. I'll do it by completing the square:
2x² = 4x + 9
2x² - 4x = 9
x² - 2x = 9/2
x² - 2x + 1 = 11/2
(x - 1)² = 11/2
x - 1 = ± √(11/2)
x = 1 ± √(11/2)
x = 1 ± √22/2
x = (2 ± √22)/2
Take the solution with the positive square root. Then it follows that a = c = 2 and b = 22. So a + b + c = 26.
