Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²

± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
Answer:
b= 2
or 16.248
Step-by-step explanation:
5^2 +b^2= 17^2
25 + b^2 = 289
-25 -25
b^2=264
b= 2
or 16.248
Answer:
9x^2 -24x +13
Step-by-step explanation:
(g º f)(x) = g(f(x))
g(f(x)) = (3x-4)^2 - 3
(3x-4)^2 = 9x^2 - 24x + 16
g(f(x)) = 9x^2 - 24x + 16 - 3
g(f(x)) = 9x^2 -24x +13
Hello!
We have when NRT is held constant a linear relationship between pressure and volume of a container with an ideal gas. Here we have
P1V1=P2V2 solving for P2 we just divide both sides by V2 and we get
P2=P1V1/V2
Hope this helps. Any questions please just ask! Thanks so much!!
Answer:
$500
Step-by-step explanation:
5,000-2,500=2,500
20% of 2,500 is 500 so the amount that he owes is $500
Hope it helps :)