Any log function/equation could be transformed in an exponential one:
log₂(x) = 4
x= 2⁴ and x = 16
Hey there! I'm happy to help!
The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.
We want to find the equation of this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.
DIFFERENCE IN Y-VALUES
3-(-3)
3+3
6
DIFFERENCE IN X-VALUES
-2-3
-5
Now, we divide the two answers, giving us -6/5.
So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!
-3=-6/5(3)+b
-3=-3 3/5+b
We add 3 3/5 to both sides to isolate the b.
b=3/5
This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.
Now you can find the slope of a median! Have a wonderful day! :D
Answer:
the 19th term of the arithmetic sequence is 73.
Step-by-step explanation:
Given:
The arithmetic sequence whose common difference is
And first term is
Find the 19th term of the arithmetic sequence
Now we know that,
Put all the value in above AP.
So, 
term of the sequence is 73.
Answer:
C y=1/2 cos(x)-2
Step-by-step explanation:
Shortest to tallest: Plant A, Plant B, Plant C.
Given:
Plant A 1/3 inch tall
Plant B 3/4 inch tall
Plant C 5/6 inch tall
Order from shortest to tallest.
First we need to get the least common multiple of the three fractions.
Multiple of 3: 3, 6, 9, 12
Multiple of 4: 4, 8, 12, 16
Multiple of 6: 6, 12, 18
Their least common multiple is 12. We need to multiply each fraction by the number that will give the product of 12 to the denominator.
Plant A: 1/3 * 4/4 = 4/12
Plant B: 3/4 * 3/3 = 9/12
Plant C: 5/6 * 2/2 = 10/12
Since the denominator is common, we will use the numerator as basis in ordering the plants from shortest to tallest.
4 is less than 9 and 9 is less than 10.
so, Plant A is the shortest, Plant B is the medium height, and Plant C is the tallest.
