Answer:
axis of symmetry is 
.
The ordered pair of the vertex is 
.
Step-by-step explanation:
Your function is a quadratic.
Compare 
to 
.
You should see that 
.
The x-coordinate of the vertex or the axis of symmetry since the axis symmetry goes through the vertex can be found by computing 
.
So here we go!
The axis of symmetry is 
.
When you write your axis of symmetry be sure to write it as an equation.
That is the axis of symmetry is .
Now that was also the x-coordinate of your vertex. To find the corresponding y-coordinate of the vertex, plug your value for 
into
.
Put into calculator:
when
The ordered pair of the vertex is .
Heya !
Using a theoram about triangles ,
Given a triangle ∆ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side ,
Also , the length of third side always greater than absolute difference of the other two sides ,
Let the third side be x ,
So , x < 9 + 8 and x > 9 - 8
x < 17 and x > 1
Hence , x ∈ [ 2 , 17 ] inch.
Above case is true for any triangle , be it scalene , Isosceles , Right-angled ...
As , for Isosceles , the third side can be 8 or 9 inches ,
For scalene , all values in the above range satusfies ,
For right angled triangle , we have 2 cases ,
Case 1 : Third side is the hypotenuse
Then , x = √(9²+8²) = √145 = 12.0415 inch.
Case 2 : Third side is not the hypotenuse
Then , x = √(9²-8²) = √17 = 4.1231 inch.
Hope it helps you ! :)
-7.8,-5.6,-1.25,9
Hope this helped!! :)
Answer:
????
Step-by-step explanation:
