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
D.y = -3/5x - 2
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Answer: 5^7 x 3^7
You could also write 15^7
Answer: Time taken by him in going = 8 hours
Time taken by him in returning = 9 hours
Step-by-step explanation:
Let the total distance from home to New York is x miles,

Also, he drove his car from his home to New York at the rate of 45 mph,
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And, returned over the same road at the rate of 40 mph.
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According to the question,
Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Hence, the total distance from home to New York = x miles = 360 miles
⇒ 

⇒ 

Answer:
x>-1
Step-by-step explanation: