A piece of wood is cut into three different sized pieces. The ratio of the three pieces is 4:5:6. If the actual length of the wood is 45 inches, then what is the length of the short side?

Step-by-step explanation:

This is a question worth knowing how to do. It is prime candidate for a test question.

Equation

Let the unit be x

therefore

4x + 5x + 6x = 45

Solution

15x = 45

x = 45/15

x = 3

The shortest piece is 4*3 = 12

The middle piece = 5*3   = 15

The longest piece = 6*3 = 18

Total                                    45

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: