For the case of a line through 
(
2
,
7
)
 and 
(
1
,
−
4
)
 we have
slope 
m
=
Δ
y
Δ
x
=
−
4
−
7
1
−
2
=
−
11
−
1
=
11
Using the point 
(
2
,
7
)
 we can write the equation of the line in point slope form as:
y
−
7
=
m
(
x
−
2
)
 where the slope 
m
=
11
.
That is:
y
−
7
=
11
(
x
−
2
)
To get point intercept form, first expand the right hand side so...
y
−
7
=
11
x
−
(
11
⋅
2
)
=
11
x
−
22
Then add 
7
 to both sides to get:
y
=
11
x
−
15
=
11
x
+
(
−
15
)
This is point intercept ( 
y
=
m
x
+
c
 ) form with slope 
m
=
11
 and intercept 
c
=
−
15
.
 
        
             
        
        
        
Answer:
Area of the rhombus ABCD = 16 square units
Step-by-step explanation:
Area of a rhombus = 
From the graph attached,
Diagonal 1 = Distance between the points A and C
Diagonal 2 = Distance between the points B and D
Length of a segment between (x₁, y₁) and (x₂, y₂) = 
Diagonal 1 (AC) =  = 4 units
 = 4 units
Diagonal 2(BD) =  = 8 units
 = 8 units
Now area of the rhombus ABCD = 
                                                        = 
                                                        = 16 units²
Therefore, area of the given rhombus is 16 units².
 
        
             
        
        
        
25+30x=65+20x
30x=40+20x
10x=40
x=40/10
x=4
x is for the number of sessions
ANSWER: 4 sessions
It will cost 145$ for both gyms after 4 sessions.
        
                    
             
        
        
        
Answer:
21.25
Step-by-step explanation:
diagonal is 21.25
the area is 216.75
the perimeter is 59.5
 
        
             
        
        
        
3 times as much as 40
40 x 3
40 + 40 + 40
40
40
40
----
120
120 is the answer