Answer:
Take the square root of the constant (number w/o the variable) and then multiply that by 2.
Step-by-step explanation:
A perfect square trinomial is something like this: 
If I have 6x, and I want to find the last term I would take half a six and then square it to get 9.
SO.... To get the middle term of a perfect square trinomial, you would need to do the reverse.. So...
1) Take the square root of the constant...
2) Multiply that by 2
Answer:
16 1/12
Step-by-step explanation:
The LCD of 6 1/3 + 5 1/2 + 4 1/4 is 12; 12 is evenly divisible by 3, 2 and 4.
We can rewrite this expression as:
6 + 5 + 4 + 1/3 + 1/2 + 1/4, or
15 +4/12 + 6/12 + 3/12, or
15 + 13/12, or
16 1/12
Okay, so if it leaks out a pint every hour, and a gallon is 8 pints, it will take 8 hours to leak out 1 gallon. Since there are 24 hours in a day, it would leak out 3 gallons every day. Now, assuming the month we are talking about is 31 days, then we multiply 31 with 3, giving us 93 gallons in a month.
Do you need help with the third too?
Given:
Rectangle inside a circle.
To find:
The area of the shaded region.
Solution:
Length of a rectangle = 3 cm
Width of a rectangle = 3 cm
Area of a rectangle = length × width
= 3 × 3
Area of a rectangle = 9 cm²
Radius of a circle = 4 cm
Area of a circle = πr²
= 3.15 × 4²
Area of a circle = 50.24 cm²
Area of shaded region = Area of circle - Area of rectangle
= 50.24 - 9
= 41.24 cm²
The area of the shaded region is 41.24 cm².
