Answer:
Tn=12n(n+1)
Step-by-step explanation:
Explanation:
These are the triangular numbers - each term in the sequence being the sum of the first n positive integers:
T1=1=1
T2=3=1+2
T3=6=1+2+3
etc.
Notice that:
2Tn=(0)+1+(0)+2+...+(n−1)+(0)+n
2Tn+(0)+n+(n−1)+...+(0)+2+(0)+1
2Tn=(n+1)+(n+1)+...+(n+1)+(n+1)
2Tn=n(n+1)
So:
Tn=12n(n+1)
Answer:
11.1 units
Step-by-step explanation:
We solve for this using the formula when using coordinates (x1 , y1) and (x2, y2)
= √(x2 - x1)² + (y2 - y1)²
A(5,2), B(5,4), and C(1,1).
For AB = √(x2 - x1)² + (y2 - y1)²
= A(5,2), B(5,4)
= √(5 - 5)² +(4 - 2)²
= √ 0² + 2²
= √4
= 2 units
For BC = √(x2 - x1)² + (y2 - y1)²
= B(5,4), C(1,1)
= √(1 - 5)² +(1 - 4)²
= √ -4² + -3²
= √16 + 9
= √25
= 5 units
For AC = √(x2 - x1)² + (y2 - y1)²
A(5,2), C(1,1)
= √(1 - 5)² + (1 - 2)²
= √-4² + -1²
= √16 + 1
= √17
= 4.1231056256 units
The Formula for the Perimeter of Triangle = Side AB + Side BC + Side AC
= 2 units + 5 units + 4.1231056256 units
= 11.1231056256 units.
Approximately the Perimeter of a Triangle to the nearest tenth = 11.1units
5 1/4 - 2 2/3
first you find the LCM, so u can make both fractions have a like denominator. I'm thinking the LCM is 12, so:
(5 3/12) - (2 8/12)
= 63/12 - 32/12
=31/12
= 2 and 7/12
5 1/4 - 2 2/3 = 2 7/12
the factors are 1, 3, 9 i hope it helps :)
Step-by-step explanation:
bc i saidsoooo:)
Answer:
+6x-16
Step-by-step explanation:
(x+8)(x+−2)
=(x)(x)+(x)(−2)+(8)(x)+(8)(−2)
=x^2−2x+8x−16
=x^2+6x−16
