In order to find the second endpoint or a line segment given the first and the midpoint, you need to realize that the midpoint is an average of the two endpoints. Given that fact, we can derive this formula looking at x values of points A and B with midpoint M. Remember this is only looking at the x values.
(A + B)/2 = M
So if we are looking for A, we can solve for A and use this modified formula.
(A + B)/2 = M
A + B = 2M
A = 2M - B
Now we can do this with the y values of these points as well. We then have the coordinates of both parts of A.
The answer is A. (3,-1/2)
Hey there!
1. The graph was flipped vertically and now opens downward.
We know this because there is a negative sign in front of the equation:
2. The graph was moved 3 units to the left.
We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.
3. The graph was moved 5 units up.
We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.
Hope this helps!
Integers are written without no fractional components so 12 is an integer .
Natural numbers are positive numbers just like the number we count. 12 is a natural number.
Rational numbers
How many modes does the data set shown below contain?<br><br><br>
1, 3, 3, 4, 6, 6, 7, 7, 7, 10, 12
kipiarov [429]
Answer:
There are 3 modes
Step-by-step explanation:
There are two 3s, two 6s, and three 7s
