Question 8 of 1010 Points
1 answer:
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Answer: 14
<u>Step-by-step explanation:</u>
Consecutive even numbers would be {2, 4, 6, 8, 10, ...}
Let x represent the smallest number, then x + 2 is the middle number and x + 4 is the largest number.
1st number: x
2nd number: x + 2
3rd number: x + 4
1st number + 2nd number + 3rd number = Sum
(x) + (x + 2) + (x + 4) = 48
3x + 6 = 48
3x = 42
x = 14
1st number: x ⇒ x = 14
2nd number: x + 2 ⇒ 14 + 2 = 16
3rd number: x + 4 ⇒ 14 + 4 = 18
<u>Check:</u>
14 + 16 + 18 = 48
Answer:
The coordinates of point A are (-11 , 2)
Step-by-step explanation:
- The coordinates of point P are (-31 , 8)
- The coordinates of point H are (29 , -10)
- Point E is the mid-point of segment PH
- The coordinates of the the mid-point are:
→ and
∵ E is the mid-point of segment PH
∴ The x-coordinate of point E is
∴ The x-coordinate of point E is -1
∴ The y-coordinate of point E is
∴ The y-coordinate of point E is -1
∴ The coordinates of point E are (-1 , -1)
- Point A is graphed of the way along the segment from P to E
- That mean the distances from points P to A is 2 parts and from P to E
is 3 parts, then the distance from A to E is "3 - 2" = 1 part
- So point A divides the line segment PE at ratio 2 : 1 from P
- The coordinates of the division point are:
→ and
∵ Point A divides PE at ratio 2 : 1
∵ The coordinates of point P are (-31 , 8)
∵ The coordinates of point E are (-1 , -1)
∴ The x-coordinate of point A is
∴ The x-coordinate of point A is -11
∴ The y-coordinate of point A is
∴ The y-coordinate of point A is 2
∴ The coordinates of point A are (-11 , 2)
* The coordinates of point A are (-11 , 2)