Answer:
The relationship is proportional for the turtle and the equation is Distance = 54*Time
Step-by-step explanation:
Turtle’s run:
Distance (meters) | Time (minutes)
108 | 2
405 | 7.5
540 | 10
1768.5 | 32.75
Rabbitt’s run:
Distance (meters) | Time (minutes)
800 | 1
900 | 5
1107.5 | 20
1524 | 32.5
The relationship between distance traveled and time is proportional if this equation is satisfied:
Distance = k*Time or k = Distance/Time
where k is a constant
For the turtle:
108/2 = 405/7.5 = 540/10 = 1768.5/32.75 = 54
Then, the relationship is proportional and the equation is Distance = 54*Time
For the rabbit:
800/ 1 = 800
900/5 = 180
1107.5/20 = 55.375
1524/32.5 = 46.89
Then, the relationship is not proportional.
Answer:
see explanation
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Consider the given equations
3x - 4y = 12 ( subtract 3x from both sides )
- 4y = - 3x + 12 ( divide terms by - 4 )
y =
x - 3 ← in slope- intercept form
with slope m = 
3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )
y = -
x + 4 ← in slope- intercept form
with slope m = - 
Then
× -
= - 1
Since the product of their slopes = - 1 then the lines are perpendicular
Answer:
2
Step-by-step explanation:
Answer:
A=300
Step-by-step explanation:
995-165=830
830+795=1625
1625-1200=425
425-125=300
Answer:
y = -4x - 7
Step-by-step explanation:
y = mx + b
parallel lines have the same slope m, which in this case is -4
y = -4x + b
now plug in the desired included point to find the y intercept
1 = -4(-2) + b
1 = 8 + b
b = -7