When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.
x-coordinate: (2 - 9) / 3 = -7/3
y-coordinate: (6 - 3 ) / 3 = 1
Adding them to the coordinates of a,
x - coordinate: (9 - 7/3) = 20/3
y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4).
Answer:
d
Step-by-step explanation:
X = 7
y = 10
x + y = 700
7x + 10y = 6400
10x + 10y = 7000
(-) 7x + 10y = 6400
______________
3x = 600
x = 200
200 + y = 700
y = 500
Answer: 67
Step-by-step explanation:
3x^2 + 5x + 25
x = 3
3(3)^2 + 5(3) + 25
3^2 = 9
3(9) + 5(3) + 25
3 * 9 = 27
27 + 5(3) + 25
5 * 3 = 15
27 + 15 + 25
27 + 15 = 42
42 + 25 = 67