I don’t really know anything abou this but I need help ASAP

Step-by-step explanation:

As per picture we have:

Since GI = GJ + JI, substitute:

Then the lengths are:

As point J divides the segment IG in the ratio of 2:1 we can state it is the centroid of ΔFHI

see explanation

Step-by-step explanation:

From the diagram

GI = GJ + JI , substitute values

9x - 9 = 2x + 3 + 5x

9x - 9 = 7x + 3 ( subtract 7x from both sides )

2x - 9 = 3 ( add 9 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Thus

GJ = 2x + 3 = 2(6) + 3 = 12 + 3 = 15

JI = 5x = 5(6) = 30

GI = 9x - 9 = 9(6) - 9 = 54 - 9 = 45

The centroid is where the 3 medians of a triangle intersect.

On each median, the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.

Here JI = 30 and twice as long as GJ, thus J is the centroid of the triangle.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

squares, rhombus, rectangles