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jes69
20.09.2020 •
Mathematics
Bekah has four brass house number digits: 2, 3, 5 and 7, and only has one of each number. How many distinct numbers can she form using one or more of the digits?
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Ответ:
(-4,2)
Step-by-step explanation:
r (y-axis) o T1,2 (x,y)
This Composition of Transformations
So, first we will make T1,2 (x,y) then r (y-axis)
Let the coordinates of vertex F ⇒(x,y)
The rule of translation T₁,₂ is (x,y)→(x+1,y+2)
So, After translation from F to F' the point F' = (x+1,y+2)
The rule of reflection over y-axis is (x,y)→(-x,y)
So, After reflection F' over y-axis F'' = (-[x+1] , y+2)
But F'' from the graph = (3,4)
∴ (-[x+1] , y+2) = (3,4)
∴ -(x + 1) = 3 and y + 2 = 4
-x - 1 = 3 | y + 2 = 4
-x = 4 | y = 2
x = -4 |
∴ (x,y) = (-4,2)
So, the coordinates of vertex F is (-4,2)