It is a relation but not a function
Step-by-step explanation:
Given
(3,6) (3,7) (-2,-5) (-9,11)
First of all we have to define both terms: Relation and Function
A relation is a set of ordered pairs containing one element from each set
A relation can be a function only if there is no repetition in domain i.e. no first element in each ordered pair should be repeated.
In the given set of ordered pairs, they are relation as all the ordered pairs have two values.
While the given relation is not a function, as there is repetition in first elements of two ordered pairs i.e. 3 is repeated in (3,6) (3,7)
Hence,
It is a relation but not a function
Keywords: Functions, Relations
Learn more about functions at:
#LearnwithBrainly
Answer:
![-x^2+24x-70](https://tex.z-dn.net/?f=-x%5E2%2B24x-70)
Step-by-step explanation:
![(x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70](https://tex.z-dn.net/?f=%28x-1%29%5E2%2B%282-x%29%5E2-3%28x-5%29%2A%28x-5%29%5C%5C%3D%3E%20%28x%20-%201%29%5E2%20%2B%20%282%20-%20x%29%5E2%20-%203%28x%20-%205%29%5E2%5C%5C%3D%3E%20x%5E2%20-%202x%20%2B%201%20%2B%204%20-%204x%20%2B%20x%5E2%20-%203%28x%20-%205%29%5E2%5C%5C%3D%3E%20x%5E2%20-%202x%20%2B%205%20-%204x%20%2B%20x%5E2%20-%203%28x%20-%205%29%5E2%5C%5C%3D%3E%20x%5E2%20-%206x%20%2B%205%20%2B%20x%5E2%20-%203%28x%20-%205%29%5E2%5C%5C%3D%3E%202x%5E2%20-%206x%2B5%20-%203%28x%20-%205%29%5E2%5C%5C%3D%3E%202x%5E2%20-%206x%2B5%20-%203%28x%5E2%20-%2010x%20%2B%2025%29%5C%5C%3D%3E%202x%5E2%20-%206x%2B5%20%20-%203x%5E2%2B30x-75%5C%5C%3D%3E%20-x%5E2%20-%206x%20%2B%205%20%2B%2030x%20-%2075%5C%5C%3D%3E%20-x%5E2%20%2B%2024x%20%2B%205-75%5C%5C%3D%3E%20-x%5E2%2B24x-70)
Formula used =
![(a-b)^2 = a^2+ 2ab + b^2](https://tex.z-dn.net/?f=%28a-b%29%5E2%20%3D%20a%5E2%2B%202ab%20%2B%20b%5E2)
3^5) (x + 2)^(3/2) + 3 = 27
<span>(x + 2)^(3/2) = 24 / 243 </span>
<span>x + 2 = [ 24 / 243 ]^(2/3) </span>
<span>x + 2 = [ 8 / 81 ]^(2/3) </span>
<span>x = [ 4 / 81^(2/3) ] - 2 =-1.786
the answer is x=-1.786</span>
The perimeter of the large square is 24 and the area is 36 units
the perimeter of the small squares are 4 and the areas are 1 unit.
All together the perimeter is 29 and the area is 38.