Rewrite the equation by completing the square.
x^2 -4x =0

Step-by-step explanation:

x² − 4x = 0

To complete the square, take half of the second coefficient, square it, then add the result to both sides.

(-4/2)² = 4

x² − 4x + 4 = 4

(x − 2)² = 4

x − 2 = ±2

x = 2 ± 2

x = 0 or 4

she will travel a distance in the range of 3 - 11 miles

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