The solution can be anything bigger than 13/6.
For example: 3, 4, 5, 6...ect
Answer:
A ≈ 1194.5
The total surface area is 1194.53.
a = 24
b = 30
c = 7
h = 18
Answer: 7 and 8
<u>Step-by-step explanation:</u>
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 <em>expanded (x + 1)²</em>
2x² + 2x + 1 = 113 <em>added like terms</em>
2x² + 2x - 112 = 0 <em>subtracted 113 from both sides</em>
x² + x - 56 = 0 <em> divided both sides by 2</em>
(x + 8) (x - 7) = 0 <em>factored polynomial</em>
x + 8 = 0 x - 7 = 0 <em>applied zero product property</em>
x = -8 x = 7 <em> solved for x</em>
↓
not valid since the restriction is that x > 0 <em>(a positive number)</em>
So, x = 7 and x + 1 = (7) + 1 = 8
I'm not sure if this answer is correct because I haven't done it since 4th grade but I think it's 14 1/2in
4 - 4y - y² = 0
-y² - 4y + 4 = 0
y = -(-4) ± √((-4)² - 4(4)(-1))
2(-1)
y = 4 ± √(16 + 16)
-2
y = 4 ± √(32)
-2
y = 4 ± 4√(2)
-2
y = 4 + 4√(2) or y = 4 - 4√(2)
-2 -2
y = -2 - 2√(2) or y = -2 + 2√(2)
The answer is C.
