Will mark ! part a: the area of a square is (16x2 + 24x + 9) square units. determine the length of each side of the square by factoring the area expression completely. show your work. (5 points) part b: the area of a rectangle is (4x2 − 49y2) square units. determine the dimensions of the rectangle by factoring the area expression completely. show your work. (5 points)

we know it's a perfect square so the first term has to be 4x and the second 3. let's check:

so the length of each side is

part b

that's the difference of two squares:

at this point we're supposed to say the rectangle's dimensions are

2x-7y by 2x+7y

but that's horse hockey. the rectangle dimensions are l, any positive number, and

but i'm almost certain they're expecting the wrong answer:

2x-7y by 2x+7y

answer: okw

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: