Answer:
reflects the required domain.
Step-by-step explanation:
We have two squares provided
Let the area of the larger square be denoted as x
The area of the smaller square is given, and we need to determine the domain for the larger square's area.
The domain refers to the possible values that x can assume in a function
In this context, x represents the area of the larger square
Because the area of the smaller square is 
The area of the larger square must exceed 
The domain will consist of all real numbers greater than 10
Mathematically,
indicates the required domain.
Response:
D. The sidelines are parallel because they are perpendicular to a common line.
Justification:
According to the perpendicular transversal theorem, when a line is perpendicular to one of two parallel lines, it is also perpendicular to the other line. Furthermore, the converse of the theorem states that if two lines are perpendicular to the same line, they must be parallel. Therefore, the sidelines are indeed parallel and also perpendicular to this single line.
Answer:
The range of cheerleaders' heights lies within the interval [58, 74)
It includes all real numbers from 58 inches and above, but below 74 inches.
Step-by-step explanation:
we have

Separate the combined inequality into two distinct inequalities
-----> inequality A
-----> inequality B
Solve inequality A

Subtract 28 from both sides

Split by 4 on both sides

Reformulate

Address inequality B

Subtract 28 from both sides

Split by 4 on both sides

consequently
The height range of the cheerleaders is the interval [58, 74)
It consists of every real number starting from 58 inches and less than 74 inches
The function

represents a parabola positioned at the vertex (5, 3).
Attached here is the graph depicting this function.