Answer: The slope is 15/4.
Step-by-step explanation:
M = (y2 - y1)/(x2 - x1)
M = (5 - (-10))/(-1 - (-5))
M = (5 + 10)/(-1 + 5)
M = 15/4
Answer: 33 degrees
Step-by-step explanation:
See paper attached. (:
Answer:
C≈9.42m
Using any of this formulas
C=2πr
C=2πrd=2r
Solution:
C=πd=π·3≈9.42478m
The functions and their properties are
- The function f(x) has its vertical asymptote at x = 0
- The x-intercept of the function h(x) is (0.5,0)
<h3>How to match the functions and their properties?</h3>
The equations of the functions are given as:
f(x) = ln(x)
g(x) = -1/2f(x - 2)
h(x) = f(x - 1/2)
From the given graph, we can see that the function f(x) has its vertical asymptote at x = 0
h(x) = f(x - 1/2) implies that the function f(x) is shifted 1/2 units right to form h(x)
This means that the x-intercept of the function h(x) is 1/2 units to the right of the x-intercept of the function f(x)
Hence, the x-intercept of the function h(x) is (0.5,0)
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It will take the first car 5.5 hours to catch up to the second car.
Step-by-step explanation:
Speed of second car = 55 miles per hour
As the car has started one hour before; it has already traveled
Distance = Speed * Time
Distance = 55*1 = 55 miles
Let,
x be the number of hours.
Distance covered in x hours = 55x
S(x) = 55x+55
Speed of first car = 65 miles per hour
Distance covered in x hours = 65x
F(x) = 65x
For catching up;
F(x) = S(x)
Dividing both sides by 10
It will take the first car 5.5 hours to catch up to the second car.
Keywords: speed, distance
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