B is the midpoint of AC. A has coordinates (-3,4), and B has coordinates (-1 1/2,1). Find the coordinates of C.
Did i get the right answer?
(2)-1 1/2=(2)-3+x(over 2)
-3-3=3+x-3
-6=x
(2)1=(2)4+y(over 2)
2-4=4+y-4
-2=y
The coordinates of C are (-6,-2)
(-3+x)/2 = -3/2
-3+x = -3
x = 0
Think about it. Starting at -3, x grows by 3/2 to -3/2 at B. It grows by another 3/2 to be 0 at C.
(4+y)/2 = 1
4+y = 2
y = -2
Had you plotted these points, you would have seen that your C point was way off.
And what's with the "over"? This is math -- use math symbols!
Your carelessness with parentheses easily leads to wrong answers.
Well, it seems like your math calculations are a bit off and the coordinates of C are not (-6,-2). Let me show you the correct way to find the coordinates of C.
Since B is the midpoint of AC, we can use the midpoint formula to find the coordinates:
Midpoint formula: (x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)
So, let's plug in the values:
x = (-3 + x2) / 2
y = (4 + y2) / 2
Now let's solve for x and y:
x = (-3 + x2) / 2
2x = -3 + x2
2x - x2 = -3
x2 - 2x + 3 = 0
Using the quadratic formula, we find that x = 1 and x = 2.
Now let's solve for y:
y = (4 + y2) / 2
2y = 4 + y2
2y - y2 = 4
y2 - 2y - 4 = 0
Again using the quadratic formula, we find that y = 1 - √5 and y = 1 + √5.
So, the coordinates of C are (1, 1 - √5) and (2, 1 + √5).
As you can see, the correct coordinates of C are not (-6, -2). Keep practicing!
To find the coordinates of point C, we can use the midpoint formula, which states that the coordinates of the midpoint of a line segment can be found by taking the average of the coordinates of its endpoints.
Given that B is the midpoint of AC, we can use the coordinates of A and B to find the coordinates of C.
Let's calculate the x-coordinate of point C.
Using the midpoint formula:
x-coordinate of C = (x-coordinate of A + x-coordinate of B) / 2
x-coordinate of C = (-3 + (-1 1/2)) / 2
Simplifying the expression, we have:
x-coordinate of C = (-3 - 1.5) / 2
x-coordinate of C = -4.5 / 2
x-coordinate of C = -2.25
Now let's calculate the y-coordinate of point C.
Using the midpoint formula:
y-coordinate of C = (y-coordinate of A + y-coordinate of B) / 2
y-coordinate of C = (4 + 1) / 2
y-coordinate of C = 5 / 2
Therefore, the coordinates of point C are (-2.25, 2.5).
So, it seems that the answer you provided, (-6,-2), is incorrect. The correct coordinates of point C are (-2.25, 2.5).
To find the coordinates of point C, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (B) between two points A and C can be found by taking the average of their x-coordinates and the average of their y-coordinates.
Let's calculate the x-coordinate of point C using the midpoint formula:
x-coordinate of C = (x-coordinate of A + x-coordinate of B) / 2
x-coordinate of C = (-3 + (-1 1/2)) / 2
= (-3 - 3/2) / 2
= (-6/2 - 3/2) / 2
= (-9/2) / 2
= -9/4
Now, let's calculate the y-coordinate of point C:
y-coordinate of C = (y-coordinate of A + y-coordinate of B) / 2
y-coordinate of C = (4 + 1) / 2
= 5/2
Therefore, the coordinates of point C are (-9/4, 5/2). It seems there was a mistake in your calculations, and the correct answer is (-9/4, 5/2).