Segment upper A upper B is graphed on a coordinate plane. The x-axis ranges from negative 9 to 1 in increments of 1. They y-axis ranges from negative 1 to 3 in increments of 1.
Determine the coordinates of point C
that divides AB¯¯¯¯¯¯¯¯
into two segments in the ratio 1:4. Write your responses as decimal values (if necessary) to the tenths place.
To find the coordinates of point C, we need to determine the x-coordinate and y-coordinate individually.
First, let's determine the x-coordinate of point C. The x-coordinate of point C can be found using the ratio of 1:4. Since the x-coordinate of point A is -9 and the x-coordinate of point B is 1, we can calculate the difference as follows: 1 - (-9) = 1 + 9 = 10.
Next, we need to divide this difference by the ratio of 1:4. Since the ratio is 1:4, we need to divide the difference by 1 + 4 = 5.
So, the x-coordinate of point C is (10/5) = 2.
Now, let's determine the y-coordinate of point C. The y-coordinate of point C can also be found using the ratio of 1:4. Since the y-coordinate of point A is -1 and the y-coordinate of point B is 3, we can calculate the difference as follows: 3 - (-1) = 3 + 1 = 4.
Next, we need to divide this difference by the ratio of 1:4. Since the ratio is 1:4, we need to divide the difference by 1 + 4 = 5.
So, the y-coordinate of point C is (4/5) = 0.8.
Therefore, the coordinates of point C are (2, 0.8).
the coordinate is A 0,0 B 2 -8
Apologies for the confusion. If the coordinates of point A are (0,0) and the coordinates of point B are (2, -8), we can find the coordinates of point C using the ratio 1:4.
Let's first find the x-coordinate of point C. The x-coordinate of C can be calculated by taking 1/5 of the difference between the x-coordinates of points A and B.
The x-coordinate of C = (4/5 * 0) + (1/5 * 2) = 0 + 0.4 = 0.4.
Now, let's find the y-coordinate of point C. The y-coordinate of C can be calculated by taking 1/5 of the difference between the y-coordinates of points A and B.
The y-coordinate of C = (4/5 * 0) + (1/5 * -8) = 0 - 1.6 = -1.6.
Therefore, the coordinates of point C are (0.4, -1.6).
Given points A(1,1)
and B(7,−2)
, determine the coordinates of point M
on AB¯¯¯¯¯¯¯¯
such that the ratio of AM
to MB
is 1:5. Write your responses as decimal values (if necessary) to the tenths place.
To find the coordinates of point M, we need to determine the x-coordinate and y-coordinate individually.
First, let's determine the x-coordinate of point M. The x-coordinate of point M can be found using the ratio of 1:5. Since the x-coordinate of point A is 1 and the x-coordinate of point B is 7, we can calculate the difference as follows: 7 - 1 = 6.
Next, we need to divide this difference by the ratio of 1:5. Since the ratio is 1:5, we need to divide the difference by 1 + 5 = 6.
So, the x-coordinate of point M is (6/6) = 1.
Now, let's determine the y-coordinate of point M. The y-coordinate of point M can also be found using the ratio of 1:5. Since the y-coordinate of point A is 1 and the y-coordinate of point B is -2, we can calculate the difference as follows: -2 - 1 = -3.
Next, we need to divide this difference by the ratio of 1:5. Since the ratio is 1:5, we need to divide the difference by 1 + 5 = 6.
So, the y-coordinate of point M is (-3/6) = -0.5.
Therefore, the coordinates of point M are (1, -0.5).
your wrong the first answer is 2 and the other i do not know
Apologies for the incorrect response. Let's recalculate the coordinates of point M.
The x-coordinate of point M can be calculated using the ratio 1:5. The difference between the x-coordinates of points A and B is 7 - 1 = 6. Dividing this difference by 1 + 5 = 6 gives us the x-coordinate of point M:
x-coordinate of M = (6/6) = 1.
Now, let's calculate the y-coordinate of point M using the ratio 1:5. The difference between the y-coordinates of points A and B is -2 - 1 = -3. Dividing this difference by 1 + 5 = 6 gives us the y-coordinate of point M:
y-coordinate of M = (-3/6) = -0.5.
Therefore, the coordinates of point M are (1, -0.5).