The coordinates of the point on the directed line segment is (5,-4)
<h3>What is a line segment?</h3>
A line segment is a line drawn to join two given points on the cartesian plane.
Analysis:
x coordinate = MX1 + NY1/M + N
y coordinate = MY1 + NY1/ M+N
where M and N are the ratio of division
x = 1(-1) + 2(8)/1+2 = 15/3 = 5
y = 1(-6) + 2(-3)/1+2 = -12/3 = -4
(5,-4)
In conclusion, the coordinates are (5,-4)
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Answer:
1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( -15 - -14) / ( -11 - (-10))
= (-15+14) /(-11 + 10)
= -1 / -1
= 1
Answer:
Correct option: Fourth one -> 17 square units
Step-by-step explanation:
The points A and B have the same y-coordinate, so they create a horizontal segment that will be the base of the rectangle.
The points B and C have the same x-coordinate, so they create a vertical segment that will be the height of the rectangle.
The length of the side AB is the distance from A to B. They have the same y-coordinate, so the distance is the difference of the x-coordinates:
side AB = |0 - (-1)| = 1 unit
The length of the side BC is the distance from B to C. They have the same x-coordinate, so the distance is the difference of their y-coordinates:
side BC = |-8 - 9| = 17 unit
Then the area of the rectangle is:
Area = AB * BC = 1 * 17 = 17 square units
Correct option: Fourth one
Answer:
Ten more than x x + 10. A number added to 5. 5 + x. A number increased by 13 ... 2x = 10. One half a number is 10 x/2 = 10. Five times the sum of x and 2 5(x + 2).
Step-by-step explanation: