Five years ago, the tree you planted measured 6 meters and 8 decimeters tall. Today that tree measures 10 meters and 1 decimeter. How much has the tree grown in five years?

3 meters 3 decimeter is the much the tree has grown in 5 years

Step-by-step explanation:

Five years ago,tree grew to 6meters 1 decimeter

Today,tree is 10meters 8 decimeter

Converting to cm before subtracting

100cm = 1meter

1decimeter=10cm

(10×100) + 10 =1010cm

Converting 6meters 8 decimeter

(6×100)+ 80 = 680cm

(1010-680)cm = 330cm

Converting back to 6meters and decimeter

3meters 3 decimeter is the much the tree have grown in 5 years.

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."