<span>For a parallelogram to be proven to be a rectange, the opposide sides must be parallel and the two adjacent sides must be perpendicular.
For two parallel sides, the slope of the two sides is equal.
Thus, for the parallelogram to be a rectangle, AB is parallel to CD.
The slope of AB = (y2 - y1)/(x2 - x1) while the slope of CD = (y4 - y3)/(x4 - x3)
Also, BC is perpedicular to CD.
For two perpendicular sides, the product of the slopes is -1.
The slope of BC is given by (y3 - y2)/(x3 - x2).
Therefore, for the parallelogram to be a rectangle.
(y2 - y1)/(x2 - x1) = (y4 - y3)/(x4 - x3) and (y4 - y3)/(x4 - x3) x (y3 - y2)/(x3 - x2) = -1.
The third option is the correct answer.</span>
Answer:
50
Step-by-step explanation:
(8)/4+(8)(6)
2+48
50
Question says that the graph of function g is a vertical stretch of the graph of function f by a factor of 3.
Now we have to find about which equation describes function g.
We know that if f(x) is the given function then a*f(x) gives vertical stretch or compress by a factor of a.
when 0<a<1 then it compresses by factor of a.
when a>1 then it stretches vertically by factor of a.
Given that function f is stretched by a factor of a so that means we use a=3 in formula a*f(x)
Hence final answer will be g(x)=3f(x).
So choice A is correct answer.
