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A Relation is said to be a Function if an element of Domain of the Function has one and only one image in the Co-domain of the Function.
⇒ A is not a Function, Because Element 4 has Three images
⇒ B is a Function, Because Each Element has a Unique Image
⇒ C is not a Function, Because Element 7 has Two images
⇒ D is a Function, Because Each Element has a Unique Image
⇒ E is a Function, Because Each Element has a Unique Image
So, The Relations which are Functions are : B - D - E
You can solve this problem algebraically by representing each of the unknown values (the dimensions of the playpen or its length and width) with certain variables. Then, you represent the length in the terms of the width, as it is 20 feet longer than the length. What you may do next is substitute all of the parts of the equation that you've composed into the area formula for the rectangle, and then you can solve for the width and then for the length of the playpen, hence finding its dimensions.
Answer:
Step-by-step explanation:
radius =( (8+7)^2 + (7+1)^2 )^1/2 = 17 unit
Equation of the circle = (x + 7)^2 + (y+1)^2 = 17^2
= (-15+7)^2 + (y+1)^2 = 17^2
=14
(-15, 14) lies on this circle