Answer:

Step-by-step explanation:
we have

we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to 
In this problem we have the axis of symmetry 
so
the x-coordinate of the vertex is equal to
therefore
For
-----> one unit to the right of the vertex
Find the value of 


For
-----> one unit to the left of the vertex
Find the value of 


Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b



The answer is D. First, it is the segment addition postulate because the two segments make up the whole. Second, it's substitution because you are substituting EF + FG for FH.
Hope this helps!
Answer:
Occam’s razor theory.
Step-by-step explanation:
This theory is known as Occam’s razor theory.
It's a theory based on the principle whereby we give precedence to simplicity. It states that out of two competing theories, the one with the simpler explanation of an object should be embraced over the other. The reason is that the philosopher William of Ockham said that "objects are not meant to be multiplied beyond absolute necessity.”
This definition resonates with what is explained in the question.
Thus, the theory is as explained.
The answer is 70.
5 + 2 = 7
7 x 10 = 70
Answer:
x<100
Step-by-step explanation:
The given equation is :
x-19<81
Adding 19 to both sides of the equation.
x-19+19<81+19
x<100
It means the solution of the given equation is less than 100. Hence, the attached figure shows the graph for the given equation.