3 years ago

How do you prove by induction?

1 answer:

6 0

Induction in math has two steps. First step is to prove it is true for the first one. Then Step two is to show that if any one is true then the next one is true.

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Find the point that partitions line segment AB with

Olegator [25]

Answer:

We have to find point that partition line segment AB with end points (-5,3) (-1,-5) in ratio 1:3

Assume (-5,3) as ( a,b)

Assume (-1,-5) as (c,d)

Assume ratio 1:3 as m:n

Step-by-step explanation:

Remember this formula

Partition point =( mc + na)/m+ n , ( md+ nb)/m+n

=[ (1)(-1)+ 3(-5)]/1+3, ( 1(-5) + 3(3))/1+3

= -1 -15)/4,( -5 + 9)/4

= -16/4, 4/4

= -4, 1

3 0

3 years ago

(1/6)^×=216 solve for x

zheka24 [161]

$\frac{1}{6}^x=216\\\\
Write\ 216\ as\ (\frac{1}{6})^{-3}\ to\ have\ a\ common\ base\\\\
\frac{1}{6}^x=(\frac{1}{6})^{-3}\\\\
x=-3\\\\Solution\ is\ x=-3.$