a 56-inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece if x represents the length of the first piece find the length of all three pieces ​

Step-by-step explanation:

length of 1st piece = x inch

length of 2nd piece = 3x inch

length of 3rd piece = 4x inch

x + 3x + 4x = 56

8x = 56

x = 7

Thus,

length of 1st piece = 7 inch

length of 2nd piece = 3 × 7 = 21 inch

length of 3rd piece = 4 × 7 = 28 inch

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0