Which set of ordered pairs (x, y) could represent a linear function?A = {(-6,3), (-3,0), (0, -3), (3,-5)}
B= Y(-1,2), (2, 1), (5,0), (8, -1)}
C = {(-4,-7), (-1, -3), (2.0), (5,3)}
D = {(-5, -8), (-2,-4), (1,1), (4,6)}
Answers
Set of ordered pairs (x, y) could represent a linear function
B= {(-1,2), (2, 1), (5,0), (8, -1)}
Option B is correct
Linear Function
Linear function is a function whose graph is a straight line .
Slope
Slope of a line tells us how steep the line is . Slope of a line is same at all the points.
Slope formula is
Lets find out slope of any two points in each option
A = {(-6,3), (-3,0), (0, -3), (3,-5)}
Slopes are not same
Lets check the second option
B={(-1,2), (2, 1), (5,0), (8, -1)}
The slope of any two points are equal .
slope are same . So it represents a linear function .
C = {(-4,-7), (-1, -3), (2.0), (5,3)}
Slopes are not same . So it is not a linear function
D = {(-5, -8), (-2,-4), (1,1), (4,6)}
Slopes are not same . so it is not a linear function .
Option B is correct.
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What quadrant would the ordered pair (–4,–6) fall in?
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In this case we will be using the function, cosine which is adjacent / hypotenuse
Cos(60) = x / 39
Simplify,
x = 39cos(60) which brings us to the solution of 19.5 meters.
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Answers
Answer:
Dilation by a scale factor of 2 followed by a reflection over the y axis.
Step-by-step explanation:
The Y-axis is the vertical axis. So that cancels out the two about the x-axis. Then I counted the length of both triangles bases. Luckily for this one their bases aren't tilted but just flat. The big one is 6 and the small 3. Since it is going from one to the other you must find what number completes their equation. 3x = 6.
2
So that's how I got the last part of the problem
Sorry if this doesn't make sense. It seems just like ramble but it should help.
B. 72
C. 56
D. 8
Answers
Divide both sides by 8.
8Z/8 = 64/8
Z = 64/8
Z = 8
Your final answer is D. 8.
Answers
Answer:
Given speed of train = 108 km/hour ⇒ Speed of train = 108 × 5/18 = 30 m/sec Since, we know that Distance = Speed × time ⇒ Distance = 30 × 32 = 960 m ∴ Length of train is 960 m
Step-by-step explanation:
Final answer:
The length of the train is calculated by using the formula 'distance = speed * time'. After converting the speed from km/h to m/s, we find that the length of the train is 960 meters.
Explanation:
To answer your question, we'll need to use the concept of speed in physics. Speed is essentially distance covered per unit of time. Since we are given that the train is running at a speed of 108 km/h and it crosses a pole in 32 seconds, we can use these metrics to find the length of the train, as the train length is the distance covered when the train crosses the pole.
First, we need to convert the speed from km/h to m/s, as we need the answer in a standard form. 1 km = 1000 m, and 1 hour = 3600 seconds. So, 108 km/h = 108 * 1000 m/3600 s = 30 m/s.
Next, we use the formula 'speed = distance/time'. Here, we need to find the distance (or the length of the train), so we rearrange that formula to get 'distance = speed * time'. That means, the length of the train = speed of the train * time taken to cross the pole = 30 m/s * 32 s = 960 m.
So, the length of the train is 960 meters.
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