Find the total surface area of the triangular prism in the figure.

C: 144 ft²

Step-by-step explanation:

Base: 4 x 6 = 24

back rectangle: 4 x √6²+8² = 4 x 10 = 40

front rectangle: 8 x 4 = 32

two side triangle: (6 x 8) /2 x 2 = 48

Total area: 24 + 40 + 32 + 48 = 144

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.