Mathematics: Find the next three missing numbers in the pattern: 4. -8, 16, -32, also is the following relation a function? {(8,9), (9,8), (7,8), (-7, 9), (6, 4)]}

Find the next three missing numbers in the pattern:

amycressey1970

19.05.2023

H = ( $\frac{21}{2}$ , 4 )

Step-by-step explanation:

Using the Section formula to find coordinates of H

Given endpoints (x₁, y₁ ) and (x₂, y₂) partitioned in the ratio m : n. then the partitioning point is

[ $\frac{mx_{2}+nx_{1} }{m+n}$ , $\frac{my_{2}+ny_{1} }{m+n}$ ]

Here (x₁, y₁ ) = B(3, - 1) and (x₂, y₂ ) = Z(12, 5) with m : n = 5 : 1 thus

H = [ $\frac{5(12)+1(3)}{5+1}$ , $\frac{5(5)+1(-1)}{5+1}$ ]

= [ $\frac{60+3}{6}$ , $\frac{25-1}{6}$ ]

= ( $\frac{63}{6}$ , $\frac{24}{6}$ )

= ( $\frac{21}{2}$ , 4 )

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