Question

PLS HELP ASAP I WILL DO ANYTHING A point H on a segment with endpoints B(3, −1) and Z(12, 5) partitions the segment in a 5:1 ratio. Find H. You must show all work.

Answer 1

Answer:

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 )