Answer:
x = π(n -
)
Step-by-step explanation:
Find attached Solution
So she had x oranges
she put the oranges into p boxes with 3 in each box and had 2 left so
total=3 times p+2 or
total=3p+2
She would have done 512 jumping jacks on the 10th day.
9514 1404 393
Answer:
- 6x +y = -6
- 6x -y = 8
- 5x +y = 13
Step-by-step explanation:
To rewrite these equations from point-slope form to standard form, you can do the following:
- eliminate parentheses
- subtract the x-term
- subtract the constant on the left
- if the coefficient of x is negative, multiply by -1
Of course, any operation you do must be done <em>to both sides of the equation</em>.
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1. y -6 = -6(x +2)
y -6 = -6x -12 . . . . . eliminate parentheses
6x +y -6 = -12 . . . . . add 6x
6x +y = -6 . . . . . . . . add 6
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2. y +2 = 6(x -1)
y +2 = 6x -6
-6x +y +2 = -6
-6x +y = -8
6x -y = 8 . . . . . . . . multiply by -1
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3. y -3 = -5(x -2)
y -3 = -5x +10
5x +y -3 = 10
5x +y = 13
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<em>Additional comment</em>
The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.
Step-by-step explanation:
a = 2i + j - k
b = -1 -7j + k
a × b = (2i + j - k) (-1 + 7j + k)
-2i + 14ij + 2ik - j + 7j^2 + jk + k -7jk - k^2
-2i + 14ij + 2ik -j +7j^2 +jk - 7jk + k - k^2
-2i + 14ij + 2ik - j +7j^2 - 6jk + k - k^2