Simplify the expression: 1–6+–3t+–4+–10
2 answers:
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Answer:
A) Non-collinear- does not lies on straight line
B) Collinear- lie on straight line
Step-by-step explanation:
We have to check collinearity of three points.
The points are said to be collinear if,
A) A(2, 5, 3), B(3, 7, 1), C(1, 4, 4)
Thus, the given points are not collinear.
B) D(0,-5,5), E(1,-2,4), F(3,4,2)
Thus, the given points are collinear.
Answer:
The third number (c) is 54.
The other ones are 70 and 56.
Step-by-step explanation:
We have 3 numbers, let's call them a, b and c.
We know that the sum of the three numbers is 180, thus:
We also know that the first number is 10 more than the mean of the three numbers <em>(Note: the mean is the sum of the numbers divided by the number of numbers).</em> Thus:
Finally the second number is 4 less than the mean:
Now we have our set of equations and we can proceed to solve them:
Solving for a in our first equation we have: and substituting this in our second equation we have:
Now taking this last result into our first equation we have:
Now we are going to solve for b in our second equation and substitute this in our third equation:
But we know that a =70, so we can substitute it in our last line:
Now we just need to find b and we can use our first original equation to do this: