Ok so the line of symmetry is x=-4
The vertex is (-4,-2)
The domain is: xER
The range is: yE(-infinity, -2)
The translations are: reflection over the x axis, translated left 4 and down 2
I don’t know the rest sorry
Okay
We know
Height= 32
Diagonal = 60
We Also know a television screen is either a square or rectangle no matter which one, they both can be divided to two triangles. The diagonal remains the same for both triangles and actually all sides has the same measures in both triangles.
Lets use the famous pythagoras formula
K^2+ K ^2 = H^2
So the first K is the Height = 32
The second K we want to find out so it is just K
H will be the Diagonal
So again 32^2+ K^2= 62^2
Now we can solve by
Sorting
1024+ K^2 = 3600
We write the Height and Diagonal as wholenumbers by multiplying 32 with 32 and 60 with 60. 32*32= 1024 and 60*60 = 3600
Now we want K alone
1024 +K^2-1024= 3600-1024
K^2 = 2576
K is still squared we want just K. So Lets find the square root of K. As we say K^2 is the same as 2576 we want to know the square root 2576. That where our answer is
2576 square root= 50,754
So our answer must be 51 inch.
We rounded 50,75 up to 51. This is because The 0,7 has shorter distance to become a 1 than to become a Zero. It has only 0,3 to become 1 while 0,7 to become 0
Write an equation and solve it. Call the length of the shorter piece "x", in this case, the longer piece is "3x". The sum of the two is equal to 116 inches.
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Answer in the comments please
