Answer:
The other endpoint is (-33, 17)
Step-by-step explanation:
The rule of the mid-point of a segment whose endpoints are
(
,
) and (
,
) is
In our question
∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)
∴
= -15 and
= x
∴
= 13 and
= y
∵ The coordinates of the mid-point of this segment are (-24, 15)
∴
= -24 and
= 15
→ Use the rule of the mid-point to find x and y
∵ 
→ Multiply both sides by 2
∴ -48 = -15 + x
→ Add 15 to both sides
∴ -33 = x
∵ 
→ Multiply both sides by 2
∴ 30 = 13 + y
→ Subtract 13 from both sides
∴ 17 = y
∴ The other endpoint is (-33, 17)
<u>Solution</u> :
Let, the number be A
Given, A/2 + 12 = 6
⇒ (A + 24)/2 = 6
⇒ A + 24 = 12
⇒ A = 12 - 24
⇒ A = - 12
∴ the required number is (- 12). (Ans.)
Answer:
The length of diagonal XU is 6.40 units
Step-by-step explanation:
* Lets explain how to find the distance between two points
- The rule of the distance between two points 
and
is:

* Lets solve the problem
-From the attached figure:
- The coordinates of the vertex X are (2 , 2)
- The coordinates of the vertex U are (-2 , 7)
∴ The point
= (2 , 2)
∴ The point
= (-2 , 7)
∴ 
∴ 
∵ 
∴ 
∵ 
∴ d = 6.40
* The length of diagonal XU is 6.40 units
10 4 , so basically you cross multiply : 10x=20 .... 20 divided by 10 is 2 . x=2
___ = ___
5 x