● Answer:
b) 24 cm
● Step-by-step explanation:
l + 4 = 2w => l = 2w - 4
5w + 6 = P => 5w + 6 = 2w + 2l
5w + 6 = 2w + 2(2w - 4)
5w + 6 = 2w + 4w - 8
6 + 8 = 6w - 5w
w = 14
l = 2x14 - 4
l = 28 - 4
l = 24 cm
Since it is a perfect square trinomial, it is of the form:
a^2x^2-2abx+b^2 which simplifies to (ax-b)^2
Therefore:
sqrt(a)=sqrt(25)=5
sqrt(b)=sqrt(36)=6
Plug in a and b:
(ax-b)^2
(5x-6)^2
Test to make sure it did fit the formula:
-2abx=-60 (where x is 1)
-2(5)(6)=-60
-2(30)=-60
-60=-60
Answer:
(5x-6)^2
Multiply x^2/3*x^1/5 by adding the exponents
Answer= x^13/15
Total = green marbles + red marbles + blue marbles
55 = 15 + 12 + blue marbles
55 = 27 + blue marbles
55 - 27 = blue marbles
28 = blue marbles
Supplementary angles add up to 180 degrees.
x + 83 = 180
Subtract 83 from both sides
x = 97 degrees