Answer:
Step-by-step explanation:
The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.
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
First solve the mixed fraction 5 2/3 would be 10/3 then 4/1 * 10/3 = 40/3 and that simplified is 13 1/3
The correct answer is B.
You can come to this decision by picturing the initial point in your mind. Point X has a positive x-value and a negative y-value. This puts it in quadrant 2 on the coordinate plane. Now, if you flip that point over the y-axis, that makes its new location in quadrant three. In quadrant three, both the x and y coordinates are negative. So, the value wouldn’t change but both would become negatives.
I hope this helps. :)