Find the difference: x+1/x-1 minus x-8/x-1
2 answers:
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The closest distance between point A and point A' is 8.5 ⇒ B
Step-by-step explanation:
Let us revise the translation of a point
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
∵ Point A is located at (-5 , 2)
∵ Point A is translated 8 units to the right and 3 units up
- That means add x-coordinate by 8 and add y-coordinate by 3
∴ Point A' located at (-5 + 8 , 2 + 3)
∴ Point A' located at (3 , 5)
The distance between two points and
is
∵ Point a = (-5 , 2) and point A' = (3 , 5)
∴ = -5 and
= 3
∴ = 2 and
= 5
- Substitute these values in the rule of the distance
∵
∴
∴
∴
∴ d = 8.544 ≅ 8.5
The closest distance between point A and point A' is 8.5
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Answer:
There are 16 friends at Jack's party.
Step-by-step explanation:
Please consider the complete question.
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Write an equation to determine the number of friends (x) at Jack's party. Find the number of friends at Jack's party.
Since there are x friends at party, so chocolate given to x friends would be 3 times x because Jack gave 3 chocolates to each friend.
As Jack has 2 chocolates left after giving to his friends, so total numbers of chocolates would be .
Now we will equate total number of chocolates by 50 as:
Therefore, the equation can be used to find number of Jack's friends.
Let us solve for x.
Therefore, there are 16 friends at Jack's party.