Put the steps in order. 1st 2nd 3rd 4th 5th .Get Constant on other side of equal sign (+ or -) Combine Like Terms on EACH side of equations. Get rid of Coefficient (divide or multiply) Get Variable on one side of equal sign (+ or - ) Get rid of any grouping symbols -({[]}) - use Distributive Property Get Constant on other side of equal sign (+ or -) Combine Like Terms on EACH side of equations. Get rid of Coefficient (divide or multiply) Get Variable on one side of equal sign (+ or - ) Get rid of any grouping symbols -({[]}) - use Distributive property

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."