Regarding the points on the given line, it is found that:
a) The midpoint is: (3,4.5).
b) The coordinates of C are: C(4,5).
c) The coordinates of the other end of the line are: (4,3).
<h3>Midpoint</h3>
The midpoint between two points is given by the mean of the coordinates of these points.
In this problem, the coordinates of points A and B are given as follows:
A(0,3) and B(6,6).
Hence the coordinates of the midpoint are given as follows:
- x-coordinate: (0 + 6)/2 = 3.
- y-coordinate: (3 + 6)/2 = 4.5.
As for point C, we have that C is closer to B then A, hence:
- The x-coordinate is greater than 3.
- The y-coordinate is greater than 4.5.
The coordinates are integers, hence it is given as follows:
C(4,5).
As for line AB, it is found that:
- The other line is parallel, hence the slope is also of 0.5. (change in y divided by change in x is of 0.5).
- For the x-coordinate, on line AB, they change by 6, hence in the new line they increase by 2/3 x 6 = 4.
- For the y-coordinate, on line AB, they change by 3, hence in the new line they increase by 2/3 x 3 = 3.
Thus the other endpoint is:
(4,3).
More can be learned about the mid-point of a line at brainly.com/question/18315903
#SPJ1
9514 1404 393
Answer:
Step-by-step explanation:
The equations can be written as ...
y = 350 -x . . . . . . . . total number of people
4x +2y = 1100 . . . . . admission fees collected
Substituting for y, we have ...
4x +2(350 -x) = 1100
2x = 400 . . . . . . . . . . . . subtract 700, collect terms
x = 200
y = 350 -200 = 150
150 children and 200 adults attended the fair.
Answer:
x = 2 and x = -2
Step-by-step explanation:
The easiest way is to guess. We know that you can't have a square root of a negative number. This constrains x between negative infinity to 2. Testing 2 and -2, we see that it satisfy the equation.
The more systematic approach is shown below
x= -2, 2
