Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height
Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7
9 years after it was planted: 16 feet
so x= 9 y=16
With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.
To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
The tree was -11 feet long when it was planted
which is our y-intercept
( I know it doesnt make sense , but if you apply to a graph it will make more sense )
Now we can make the equation
y = 3x -11
The length is determined by multiplying the number of balls with the diameter. The answer that would come out of this is in units of centimeters.
L = (6.02 x 10^23 balls)(4 cm/ball)
L = 2.408 x 10^24 cm
Then, we use the proper conversion factor to convert centimeter to kilometer.
L = (2.408 x 10^24 cm)(1 m/100 cm)(1 km/1000 m)
L = (2.408 x 10^24)(10^5)
The answer to this item is 2.408 x 10^19 km.
Answer:
3/4
Step-by-step explanation:
2/3a-1/6=1/3
2/3a=1/3+1/6
2/3a=3/6
2/3a=1/2
a=1/2X3/2
a=3/4
Standard form: -3x +5y= -1
