What is the solution to the equation squareroot2x+8-6=4 . show your work.

x=1 i think hope that helped ik it says to show your work but i dont have time i am so sorry

qrt(2x + 8) - 6 = 4  

We have a minus sign. What's the inverse operation to subtraction? Addition. Add 6 to both sides  

sqrt(2x + 8) = 10  

We have a square root. What's the inverse operation to the square root? Squaring. Square both sides  

2x + 8 = 100  

We have a plus sign. What's the inverse operation to addition? Subtraction. Subtract 8 from both sides  

2x = 92  

We're multiplying 2 and x. What's the inverse operation to multiplication? Division. Divide both sides by 2.  

x = 92/2

x = [(4 + 6)^2 - 8] / 2  

Solution: x = 46

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

- "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."