Answer:
Step-by-step explanation:
Given that there is a group of 17 people in a party. There takes place a number of hand shakes between them.
To show that there is always two people who shake hands with the same total number of people.
If possible let each person did a different number of handshake.
We know that since there are 17 people, there cannot be more than 16 hand shakes for any one in the group.
Hence if different hand shakes must be 0,1,2...16
Consider the last person having 16 hand shakes. He has shaken hand with each other person in the group thus making it clear that no one could have done 0 hand shakes. Since we get a contradiction, our assumption was wrong. That is, there is always two people who shake hands with the same total number of people.
At the same rate, it will take 638.3 seconds to run 1 mile.
hope it helps you .
Answer: x = 4
y = - 3
Step-by-step explanation:
The given system of simultaneous equations is expressed as
x-3y = 13 ------------------------1
2x+4y=-4--------------------------2
We would apply the method of substitution in solving the equations. From equation 1, we would make x to stand alone by adding 3y to the left hand side and the right hand side of the equation. It becomes
x - 3y + 3y = 13 + 3y
x = 13 + 3y
Substituting x = 13 + 3y into equation 2, it becomes
2(13 + 3y) + 4y = - 4
26 + 6y + 4y = - 4
26 + 10y = - 4
Subtracting 26 from the left hand side and the right hand side of the equation, it becomes
26 - 26 + 10y = - 4 - 26
10y = - 30
Dividing the left hand side and the right hand side of the equation by 10, it becomes
10y/10 = - 30/10
y = - 3
Substituting y = - 3 into x = 13 + 3y, it becomes
x = 13 + 3 × - 3
x = 13 - 9
x = 4
Answer:
Step-by-step explanation:
I'm pretty sure that the equation for slope is y2 -y1
-----------
x2 - x1
Substitute in the info, and simplify to find the slope.
Answer:
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I hope u got it. Plz mark brainliest.
