The rectangle R’S’T’U’ is a 90° counterclockwise rotation of RSTU so options (A) and (C) will be correct.
<h3>What is a rectangle?</h3>
The rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Given the rectangle RSTU if we plot it then it becomes a major horizontal rectangle.
If we transpose into R’S’T’U’ then it rotates 90 degrees counterclockwise and becomes a major vertical ractangle.
Hence the rectangle RSTU will rotate 90° counterclockwise to form R’S’T’U’.
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Using limits, a graph that goes to positive infinity when and would have the same end behavior as the function .
<h3>What is the end behavior of a function?</h3>
It is given by it's limits as x goes to negative and positive infinity.
In this problem, the function is:
The limits are:
- .
- .
A graph that goes to positive infinity when and would have the same end behavior as the function .
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Answer:
x = -5 ±4sqrt(3)
Step-by-step explanation:
(x + 5)^2 = 48
Take the square root of each side
sqrt((x + 5)^2) = ±sqrt(48)
x+5 = ±sqrt(16*3)
x+5 = ±4sqrt(3)
Subtract 5 from each side
x = -5 ±4sqrt(3)
I. ) f ( 3 ) = 36 + 2 = 8
II. ) f ( x ) = ( 3 x - 4 ) / 5
y = ( 3 x - 4 ) / 5
5 y = 3 x - 4
5 y + 4 = 3 x
x = ( 5 y + 4 ) / 3
f-1(x ) = ( 5 x + 4 ) /3
f-1(4) = ( 20 + 4 ) / 3 = 24/3 = 8
III. ) y + 10 = 2 y + 1
- y = - 9
y = 9
Answer: The same result have I. and II.