Will mark as ! pls 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. show all work! i got (10.5, 5)

  (10.5, 4)

Step-by-step explanation:

You want H such that ...

  (H -B)/(Z -H) = 5/1

Solving for H, we get ...

  H -B = 5(Z -H) . . . . . . cross multiply

  H - B = 5Z -5H . . . . . eliminate parentheses

  6H = B + 5Z . . . . . . . . Add 5H+B

  H = (B +5Z)/6 . . . . . . . divide by the coefficient of H

Filling in the given values, we have ...

  H = ((3, -1) + 5(12, 5))/6 = (3+60, -1 +25)/6

  H = (10.5, 4)

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step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft