What is the GCF of the expression 5x2y + 10xy2?
1 answer:
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The given function f(x) is:
And the other given function g(x) is:
g(x) in comparison with f(x) has the next transformation:
1. g(x)=f(bx): g(x)=3(0.1x)+5. This is a horizontal stretch: the x-coordinates will change as:
This is the graph of both functions:
The red-one is f(x) and the blue-one is g(x).
Then for example when the coordinates of f(x) are (1,8) for g(x) the coordinates will be:
Then, the slope of f(x) has a greater value than the slope of g(x), since the change on the x-axis is bigger in the g(x) graph for the.
Explanation:
Consider the attached diagram.
Circles A and B have mutual tangents CF and DE that intersect at point F.
We know that the two tangents to a circle from an external point are congruent, so ...
FE≅ FC
FD ≅ FC
By the transitive property of congruence, both segments congruent to FC are congruent to each other:
FD ≅ FE
Therefore, CF is a bisector of DE.
