Answer:
i. 10 units (Carol's house is 10 units on the right from Ann's house)
ii. -10 units (Carol's house is 10 units on the left to Ann's house)
Step-by-step explanation:
A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).
In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.
Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.
Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.
So that,
The possible locations of Carol's house depends on its position with respect to Ann's house.
i. Carol's house = 8 + 2
= 10 units
This implies that Carol's house is 10 units on the right from Ann's house.
ii. Carol's house = - 8 - 2
= -10 units
This implies that Carol's house is 10 units on the left to Ann's house.
The "L"-shape would look like it fell backwards and was laying on the ground. The little leg of the L would be pointing up into the air.
A 90 degree counter clockwise turn means that it rotates left around the origin. It turns one half of half a turn, or 90 degrees.
Answer:
24
Step-by-step explanation:
There are two triangles PQR, each with area base*half heigth = 6*2 = 12, and two times 12 is 24.
Answer: The gradient of the line segment between the points (-5,2) and (4,3) is
.
Step-by-step explanation:
Formula for gradient of a line segment :

Given points of the line segment: (-5,2) and (4,3)



Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is
.