ANSWER
EXPLANATION
We want to find the exact value of cos(150°).
150° makes an angle of 30° with the positive direction of the x-axis and it is also in the second quadrant.
The cosine ratio is negative in the second quadrant.
Using the unit circle,
ST=X+3 and TU= 4x-6 what is the value of ST?
1 answer:
You might be interested in
Data:
x: number of months
y: tree's height
Tipical grow: 0.22
Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)
In this case the slope (m) or rate of change is the tipical grow.
m=0.22
To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):
Use the slope(m) and y-intercept (b) to write the equation:
B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:
C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:
First of all, find a program or a calculator that will give you the answer. Then you'll know how to make your table. I recommend Desmos. I have inserted the final graph for you.
Make up a table for this graph. Put the lowest point as the central entry in your graph.
x y
-4
-3
-2
-1
0
Now fill in the y values.
x y
-4 1
-3 -3.5
-2 -5
-1 -3.5
0 1
You can use the outline of the parabola and then mark the outline with the points in the table.
Make up a table for this graph. Put the lowest point as the central entry in your graph.
x y
-4
-3
-2
-1
0
Now fill in the y values.
x y
-4 1
-3 -3.5
-2 -5
-1 -3.5
0 1
You can use the outline of the parabola and then mark the outline with the points in the table.