Shana used a table to multiply the polynomials 2x + y and 5x – y + 3. Her work is shown below. A 3-column table with 2 rows. The first column is labeled 5 x with entries 10 x squared, 5 x y. The second column is labeled negative y with entries negative 2 y, negative y squared. The third column is labeled 3 with entries 6 x, 3 y. The first row is labeled 2 x and the second row is labeled y.
Muriel told Shana that one of the products in the table was incorrect.

12.5 feet

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: