Answer:
(0, -4)
Step-by-step explanation:
The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)
The ratio the required point partitions the line = 2 to 3
The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;
![\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7Ba%7D%7Ba%20%2B%20b%7D%20%5Ctimes%20%28x_1%20-%20x_2%29%2B%20x_1%2C%20%5C%20%5Cdfrac%7Ba%7D%7Ba%20%2B%20b%7D%20%5Ctimes%20%28y_1%20-%20y_2%29%2B%20y_1%20%5Cright%29)
Therefore, the required point is located as follows;
![\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B2%7D%7B2%20%2B%203%7D%20%5Ctimes%20%289%20-%20%28-6%29%29%2B%20%28-6%29%2C%20%5C%20%5Cdfrac%7B2%7D%7B2%20%2B%203%7D%5Ctimes%20%28-1%20-%20%28-6%29%29%2B%20%28-6%29%20%5Cright%29%20%3D%20%280%2C%20-4%29)
The coordinates of the point is (0, -4)
Answer:
Could you please add a photo or the quadratic function?
Answer:
-18
Step-by-step explanation:
Answer:
6 1/4
Step-by-step explanation:
Total length of the ribbon= 15 3/4 m= 63/4 m
One piece= 9 1/2 m= 19/2 m
Other piece length =X
X= 63/4-19/2
=63/4-38/4
=25/4
=6 1/4
Slope for (x₁, y₁) and (x₂, y₂): (6, 2) and (7, 4)
Slope: (y₂ -y₁) / (x₂ -x₁)
Slope: ( 4 - 2) / (7 - 6) = 2/1
<span>Slope = 2/1 = 2
Option D</span>