Rewrite the fractions to have a common denominator to find the difference:
2/3 = 4/6
Difference = 4/6-5/6 = -1/6
Sequence formula = an = a1 + d(n-1)
A1 is the first term 5/6
And d = -1/6
Sequence = 5/6 -1/6(n-1)
Simplify to get an =(-n +6)/6
I would try Khan Academy. He does very good explainations
3(2x+2)+x+5=-10
6x+6+x+5=-10
7x+11=-10
7x=-21
x=-3
The Shark's teeth has a base of 2 cm and height of 1 cm.
Step-by-step explanation:
Step 1 :
Given,
the area of the shark's triangular teeth = 1 sq cm
Let b be the base and h be the height of the shark's triangular teeth.
We have the teeth's height is 1 cm short than the base
So h = b - 1
Step 2 :
Area of Triangle = (
) × b × h = 1
Substituting h = b -1
(
) × b × (b-1) = 1
=> b² - b = 2 = > b²-b-2 = 1
Solving for b we have
(b-2)(b+1) = 0
b = 2 or b = -1
Since b is the base , we take the positive value as length/distance cannot be negative.
So b = 2
h = b - 1 = 2 - 1 = 1
h = 1
Step 3 :
Answer :
The Shark's teeth has a base of 2 cm and height of 1 cm.