Given an endpoint of a segment and a midpoint, the other endpoint can be obtained by manipulation of the midpoint formula. The said formula is shown below:
Let: (a,b) = coordinates of point 1 ; (c,d) = coordinates of point 2; (e,f) = coordinates of the midpoint
Midpoint = ( (a+c)/2 , (b + d)/2 )
From the formula: (a+c)/2 = e ; (b + d)/2 = f
Since we are already given an endpoint and the midpoint, we can solve for the other endpoint using the obtained equations. This is shown below:
(a+c<span>)/2 = e
</span>(3 + c)/2 = 0
c = -3
(b + d<span>)/2 = f
</span>(11 + d)/2 = 0
d = -11
Therefore, the coordinates of the other point is Q(-3,-11)
Answer:
Volume of the juice can =
Step-by-step explanation:
Given:
Volume of a cylinder= 
:
Volume of the cylindrical Juice can = 
=
So, the volume of the juice can is
We are given the data 4 8 5 12 3 9 5 2 and is asked for the mean and standard deviation of the numbers or data set. The mean is the average equal to 6. The standard deviation reveals the spread of the data. In this case, the standard deviation is equal to 3.16
Answer:
Graph 3
Step-by-step explanation:
f(x) inverse = 1/f(x)
=> 1/(1/2x) + 1(1/4)
=> 2x + 4
=> Third graph (Second row, first one)
When they ask for combining the variable terms, you take one of the variable terms and move to the other side of the equation and change its sign. From there, you cross multiply those variable terms and simplify. Once you simplify, you look at the denominator and that will be your answer.
Similarly for the constant terms, you take one of the constant terms and move to the other side of the equation and change its sign. Again, you cross multiply these two constant terms and simplify. The denominator you get after simplification will be your answer.
