<span>The quotient of 6 times a number and 16 is </span>6x / 16
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
<h3>
Answer: 29.5 degrees</h3>
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Explanation:
Add up the arc measures and divide by 2 to get the angle formed by the two chords.
angle AOB = (arc AB + arc CD)/2
angle AOB = (34 + 25)/2
angle AOB = 59/2
angle AOB = 29.5 degrees
6(21)=72 6(31)=186
add 72+186=258
258 is the answer
