Answer: The Answer is going to be B.
Step-by-step explanation:
We can find the distance between each pair of points using the distance formula Sqrt((x1-x2)^2 + (y1-y2)^2),(x1 and x2 are the x ordinates of each point, and y1 and y2 are the y ordinates. Sqrt stands for square root, and ^2 is to the power of two.
Using this we can find the side between 7,6 and 7,1 is 5.
The side between 7,1 and -5,6 is 13
The side between 7,6 and -5,6 is 12
After using the formula we can conclude the side between 7,1 and -5,6 is the longest, and it equals 13. Therefore the answer is B.
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Answer:
Consider the parent logarithm function f(x) = log(x)
Now,
Let us make transformations in the function f(x) to get the function g(x)
•On streching the graph of f(x) = log(x) , vertically by a factor of 3, the graph of y = 3log(x) is obtained.
•Now, shrinking the graph of y = 3log(x) horizontally by a fctor of 2 to get the grpah of y = 3log(x/2) i.e the graph of g(x)
Hence, the function g(x) after the parent function f(x) = log(x) undergoes a vertical stretch by a factor of 3, and a horizontal shrink by a factor of 2 is
g(x) = 3 log(x/2) (Option-B).
Answer:
Step-by-step explanation:
We have given a parallelogram ABCD.
For a parallelogram,
Opposite pair of sides are parallel to each other.
i.e AD is parallel to BC and AB is parallel to CD.
From the attached figure,
∡1 = ∡4 and ∡2 = ∡3 {If two parallel lines cut by a transversal line then alternate interior angles are congruent }
Next, AC ≅ AC {Reflexive identity}
hence, ΔABC ≅ ΔCDA , By Angle-Side-Angle(ASA) congruent property of triangle.
Therefore, AB = CD and AD = BC {Proved}