Answer:
Perimeter = 28 yards
Area = 49 square yards.
Step-by-step explanation:
Distance formula:
 
Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).
Using distance formula, we get
 
Similarly,
 
 
 
It is conclude that,  .
.
From the given points it is clear that all sides lie on either vertical or horizontal lines.
Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.
Perimeter of square floor is
 
Area of square floor is
 
Therefore, the perimeter is 28 yards and the area is 49 square yards.
 
        
             
        
        
        
Answer:
The second box plot best represents the data
 
        
             
        
        
        
Answer:
3
Step-by-step explanation:
13-4=9
9/3=3
 
        
                    
             
        
        
        
<u>Given:</u>
It is given that the ridge is 360 inches tall. 
<u>Assumptions:</u>
Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is  inches.
 inches.
The distance from your eye level to the bottom of the ridge is 427 inches.
Assume the angle A is 60°.
<u>To find the distance from you to your dog.</u>
<u>Solution:</u>
A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.
Assume the hypotenuse of the triangle measures x inches.
To determine the length of the hypotenuse, we determine the cos of the angle.



So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Given:
The two points on the line are  and
 and  .
.
The slope of the line joining two points  and
 and  is given as:
 is given as:

Here, 
∴ 
Equation of line with a point  and slope
 and slope  is given as:
 is given as:

Plug in -2 for  , 3 for
, 3 for  and -7 for
 and -7 for  . This gives,
. This gives,

Therefore, the equation of the line in vertex form is  .
.