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:
11
Step-by-step explanation:
8 + 3*(4-3) = 8 + 3*1 = 8+3 =11
Answer:
sandwiches is £1.8
bottle water = £1.2
Step-by-step explanation:
Given data
let cheese sandwiches be x
and bottle water be y
3x+2y= 7.8------------1
5x+4y= 14.20---------2
solve 1 and 2
3x+2y= 7.8------------1*5
5x+4y= 14.20---------2*3
15x+10y= 39
- 15x+12y= 42.6
-2y = -3.6
y= 3.6/2
x=1.8
Put x= 1.8 in 1
3(1.8)+2y= 7.8
5.4+2y= 7.8
2y= 7.8-5.4
2y=2.4
y= 2.4/2
y= 1/2
Hence cheese sandwiches is £1.8
bottle water = £1.2
Answer:
Pipe 1 twice as fast as pipe 2.
(Pipe 1 time * Pipe 2 time) / (Pipe 1 time + Pipe 2 time) = combined time
(x * (x/2)) / (x + x/2) = 10
(x^2/2) / 1.5 x = 10
x^2 / 2 = 15 x
x^2 /2 - 15 x = 0
x = 30 (slow pipe)
x/2 = 15 (fast pipe)
So it would take 30 hours using the slow pipe only.
Step-by-step explanation:
Answer:
714 is the total number that is sold, if there is 64 more tickets sold for students then adults, then do 714 divided by 2 and add 32 to get the number for students, and for adults do 714 divided by 2 and subtract by 32. so, like this 714/2+32=389 tickets for students and 714/2-32=325 for adults. Hope this helps
