What is the area of the square
1 answer:
Answer:
72 square yards
Step-by-step explanation:
If half of the diagonal of a square is 6 yards, then the full diagonal is 12 yards, and then you can find the side length by using the Pythagorean theorem. You know that all of the sides of the square are equal, so let's call them s.
Therefore, since the area of a square is the side length squared, the area of this square is 72. Hope this helps!
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Given:
The parent absolute function is
To find:
The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.
Solution:
The translation is defined as
.... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
Parent function is translated up by 5 units. So, b=5
It is vertically stretched by a factor of 3. So, k=3.
There is no horizontal shift. So, a=0.
Now, putting k=3, a=0 and b=5 in (1), we get
Therefore, the correct option is D.