The equation represents the relationship between the number of miles traveled, m, and the total rentalcost, r is r = 2(210) + 0.10m.
An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Jodi rents a car for 2 weeks.
It costs $210 for each week plus $0.10 per mile.
Let, the number of miles traveled, m, and the total rental cost, r.
The rent of the car for 2 weeks is;
The equation represents the relationship between the number of miles traveled, m, and the total rentalcost, r is;
r = the rent of the car for 2 weeks + the total rental cost
r = 2(210) + 0.10m
Hence, the equation represents the relationship between the number of miles traveled, m, and the total rentalcost, r is r = 2(210) + 0.10m.
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A. (-6, -4) B. (-4,-6) C. (6,4) D. (4,6)
Answer:
Option C is correct.i.e., ( 6 , 4 ) lie on given line.
Step-by-step explanation:
Given Equation, y - 4 = -2 ( x - 6 )
Option A:
From given point, x = -6 and y = -4
LHS = y - 4 = -4 - 4 = -8
RHS = -2 ( x - 6 ) = -2 ( -6 - 6 ) = -2 × ( -12 ) = 24
LHS ≠ RHS
⇒ This point does not lie on given line.
Option B:
From given point, x = -4 and y = -6
LHS = y - 4 = -6 - 4 = -10
RHS = -2 ( x - 6 ) = -2 ( -4 - 6 ) = -2 × ( -10 ) = 20
LHS ≠ RHS
⇒ This point does not lie on given line.
Option C:
From given point, x = 6 and y = 4
LHS = y - 4 = 4 - 4 = 0
RHS = -2 ( x - 6 ) = -2 ( 6 - 6 ) = -2 × ( 0 ) = 0
LHS = RHS
⇒ This point lie on given line.
Option D:
From given point, x = 4 and y = 6
LHS = y - 4 = 6 - 4 = 2
RHS = -2 ( x - 6 ) = -2 ( 4 - 6 ) = -2 × ( -2 ) = 4
LHS ≠ RHS
⇒ This point does not lie on given line.
Therefore, Option C is correct.i.e., ( 6 , 4 ) lie on given line.
Step-by-step explanation:
Area of parallelogram
= base x height
= 5 x 4
= 20