The equation for area is Length * Width
In this case the Area would be 3 *2 = 6
The area of the rectangle is 6 meters sq
Hope thise helps!
Answer:y=7x+y
Step-by-step explanation:
Given:
The function is:
This function is stretched by a factor of 9 to g(x).
To find:
The equation of function function g(x).
Solution:
The vertical stretch is defined as:
...(i)
If 
, then the function f(x) compressed vertically by factor k.
If 
, then the function f(x) stretched vertically by factor k.
The given function f(x) is stretched by a factor of 9 to g(x). So the value of k is 9.
Substituting 
in (i), we get
![[\because f(x)=x^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%5E2%5D)
Therefore, the required function is .
If we draw a rhombus OABC on a coordinate grid with one vertex at the point O (0,0)
and let its height be 1 then (using the Pythagoras theorem) the coordinates of the 4 points will be as follows:-
O = (0,0) , A = (1, 1), B = (sqrt2+ 1 , 1) , C = (sqrt2, 0)
Slope of the diagonal OB = 1 / (sqrt2 + 1)
Slope of the other diagonal AC = - 1 / (sqrt2 - 1)
Product of the slopes = - 1 / ( sqrt2 + 1)(sqrt2 - 1) = -1 / 1 = -1
This proves that the diagonals are perpendicular.
