MATHEMATICS MIDDLE SCHOOL

What are the coordinates of point C on the directed segment from A (-8,4) to B (10,2) that partitions the segment such that AC:CB is 2:1?

Answers

Answer 1
Answer:

Answer:

(14/3, 8/3)

Step-by-step explanation:

Let the points be

(x_1,y_1) = A(-8,4)\n(x_2,y_2) = B(10,2)\n

The formula for finding the coordinates of point that divides the line in a:b is:

x = (bx_1+ax_2)/(a+b) \ny = (by_1+ay_2)/(a+b)

Here x and y are the coordinates of the point that will partition the line into given ratios

Our ratio is 2 to 1,

So,

a=2

b=1

Putting the values in the formula

x = ((1)(-8)+(2)(10))/(2+1)\nx = (-8+20)/(3)\nx =(14)/(3)\ny = ((1)(4)+(2)(2))/(3)\ny=(4+4)/(3) \ny= (8)/(3)

So the coordinates of point that divides AB in 2:1 are:

(14/3, 8/3) ..
Answer 2
Answer:

Final answer:

To find the coordinates of point C, divide the x- and y-coordinates of AB in the ratio 2:1.

Explanation:

To find the coordinates of point C, we can use the concept of dividing a line segment in a given ratio. Given that AC:CB is 2:1, we can divide the x- and y-coordinates of the line segment AB in the same ratio.

The x-coordinate of point C is calculated by dividing the difference between the x-coordinates of points A and B by the sum of the ratio (2+1).

The y-coordinate of point C is calculated by dividing the difference between the y-coordinates of points A and B by the sum of the ratio (2+1).

Therefore, the coordinates of point C are (-2, 3).

Learn more about Coordinates here:

brainly.com/question/30227780

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Answers

Answer:

y =8.7

Step-by-step explanation:

y + 8.5 = 17.2

Subtract 8.5 from each side

y +8.5-8.5 = 17.2 -8.5

y =8.7

Answer:

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Step-by-step explanation:

y + 8.5 = 17.2

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