4 years ago

What is the distance between 0(-5,-2) and P(7,-7)

1 answer:

6 0

Distance formula: sqrt [ (x2 - x1)^2 + (y2 - y1)^2 ]

x1 , y1
(-5, -2)

x2, y2
(7, -7)

sqrt [ ( 7 - (-5) )^2 + ( -7 - (-2) ) ]

sqrt [ ( 7 + 5 )^2 + ( -7 + 2 ) ]

sqrt [ (12)^2 + (-5)^2 ]

sqrt [ 144 + 25 ]

sqrt [ 169 ]

sqrt of 169 = 13

The distance is 13

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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

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Step-by-step explanation:

$a_1=6\\a_2=a_1+1\to a_2=6+1=7\\a_3=a_2+1\to a_3=7+1=8\\a_4=a_3+1\to a_4=8+1=9\\\vdots\\\\\text{The recursive formula}\\a_n=\left\{\begin{array}{ccc}a_1=6\\a_n=a_{n-1}+1\end{array}\right\\\\\text{It's an arithmetic sequence with}\ a_1=6\ \text{and difference}\ d=1\\\\\text{The explicit formula of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\\text{Substitute:}\\\\a_n=6+(n-1)(1)\\a_n=6+n-1\\a_n=5+n\\\\a_n=n+5$