Answer:
GK = 10x+1
GH = 16.4
HK = 20.6
Explanation:
Given the expressions 4x+2=GH, 6x-1=HK and GK = 37, according to vector addition GH + HK = GK
Substituting the functions into the formula we will have:
GK = 4x+2 + 6x-1
collect like terms
GK = 4x+6x +2-1
GK = 10x+1
The algebraic expression that represents GK is 10x+1.
To get the value of x, since GK = 37
10x+1 = 37
10x = 37-1
10x = 36
x = 36/10
x = 3.6
Since GH =4x+2, substitute x = 3.6 into the function
GH = 4(3.6)+2
GH = 14.4+2
GH = 16.4
Also HK = 6x-1
HK = 6(3.6)-1
HK = 21.6-1
HK = 20.6
Hence the algebraic expression that represents GK is 10x + 1 and the value GH is 16.4, HK is 20.6