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’.
For more about rectangles,
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Answer:
f(x) = 8(x-3)
Step-by-step explanation:
F^ -1 ( x) = x/8 +3
Let y = x/8+3
To find the inverse
Exchange x and y
x = y/8+3
Solve for y
x-3 = y/8+3-3
x-3 = y/8
Multiply each side by 8
8(x-3) = y/8 * 8
8(x-3) = y
The inverse of the inverse is the function so
f(x) = 8(x-3)
Answer:
It is a little hard to see where your steps are for the equation, but x = 4, and I will explain:
Step-by-step explanation:
We know y = -1.5x +4, so we plug that into the equation
6x - 5(-1.5 + 4) = 34
6x +7.5x - 20 = 34 Here we distributed the -5 into the parenthesis.
13.5x -20 = 34
13.5 = 54
x = 4
Hope this helps!
We know the compound interest formula is given by
Now, we have been given that 24,000 is invested for 2 years with an APR of 6% and daily compounding. Thus, we have
On substituting these values in the above formula for the compound interest, we get
Therefore, the balance in the account after 2 years is 27059.7
