The answer is 8
Order of operations:(Please Excuse My Dear Aunt Sally)
Parentheses
Exponents
Multiplication
Division
Add
Subtract
When it comes down to multiplication and division you do whichever comes first , left to right same with add and subtract so..
Step1: 2 squared = 4
Step2: 4/4=1
Step3: 1x10=10
18-10=8 . Final answer is 8
Answer:
1050 ft²
Step-by-step explanation:
Enlarging the polygon by a factor of 5 has the effect of increasing the area by a factor of 5², that is 25
new area = 25 × 42 = 1050 ft²
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
It equals to:
(3(a+h)^2 - 3a^2) / h = 3(2ah+h^2) / h = 6a + 3h
