Michael cuts a piece of wood for a project . The first cut is show and can be represented by the equation y= - 1/3 x + 6 . The s
econd cut needs to b parallel to the 1st it will pass the point (0, -2) what's the equation he cuts out ?
2 answers:
Answer: The answer is (A)
Step-by-step explanation: Given that Michael cuts a piece of wood for a project . The first cut is shown in the given figure and represented by the equation The second cut should be parallel to the first one and will pass through the point (0, -2). We are to find the equation of the second cut.
The equation of the first cut is
So, slope will be
Since the second cut is parallel to the first one, so the slope of the second cut will be equal to the slope of the first one. Also, the second cut passes through the point (0, -2), so its equation will be
Thus, (A) is the correct option.
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<h3>Answer: 28</h3>
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Explanation:
Method 1
Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.
There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.
Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.
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Method 2
There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.
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Method 3
Use the nCr combination formula with n = 8 and r = 2
There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).
Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.
Answer:
No graph so we'll use the quadratic formula
x^2+x-4=0
a = 1
b = 1
c = -4
x = -1 +- sqr root (1^2 - 4 * 1 * -4) / 2
x = (-1 +- sqr root (1 +16) ) / 2
x1 = (-1 + sqr root (17)) / 2
x2 = (-1 - sqr root (17)) / 2
Step-by-step explanation:
