The last set is a function
a function can’t have the same two x values
Answer:
a)
0.8 hours
b)
1.1 kilometers/min
Step-by-step explanation:
a)
D = distance between town A and town B = 45 kilometers
v = speed of the train traveling from town A to town B = 60 kilometers per hour
t = time taken for the train to travel from town A to town B
Time taken is given as
t = D/v
inserting the values
t = 45/60
t = 0.8 hours
b)
D = distance between town A and town B = 45 kilometers
v = speed of the train traveling from town A to town B = ?
t = time taken for the train to travel from town A to town B = 40 minutes
Speed of the train is given as
v = D/t
inserting the values
v = 45/40
v = 1.1 kilometers/min
(-3, 1) y = 2/5x - 4
x₁ y₁ slope (m) = 2/5x
Since the equation we are looking for is perpendicular to y = 2/5x - 4, we need to find the opposite reciprocal slope. We have to flip the slope upside down and turn it negative.
2/5 ⇒ 5/2 ⇒ -5/2
So far, we have the equation y = -5/2.
Now, we need to find the y intercept by plugging in the given point into point slope form, which is...
y - y₁ = m(x - x₁)
The subscripts in the y and x are just the x and y in (-3,1). They are just placeholders, not exponents.
y - 1 = -5/2(x + 3)
y - 1 = -5/2x - 15/2
+ 1 + 1
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y = -5/2x - 13/2 ⇒ final equation
The greatest number is 75431
