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Anna11 [10]
3 years ago
10

Three of the vertices of a parallelogram are (2, 1) (4, 7), and (6, 5). What are the three possible coordinates of the fourth ve

rtex? (0, 3) (-1, 4) (3, 3) (4, -1) (4, 4) (8, 11)
Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0
You can do this without drawing even. Let's say the coordinates are 
A, B and C, respectively, and we're looking for D.

If the other vertex is opposite A(2,1), it will be at B+C-A = (8, 11) 
If the other vertex is opposite B, it will be at A+C-B = (4, -1)
If the other vertex is opposite C, it will be at A+B-C = (0, 3)

Explanation: think of one of the vertexes as a corner of the parallelogram and you want to travel to the opposite corner. That means you must add both vectors that represent the sides. So from A to D, you'd have to add (B-A) and (C-A). That gives us A+(B-A)+(C-A) simplifies to B+C-A.
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What is 859 under a thousand as a mixed number?
Semmy [17]
To convert the improper fraction \frac{1000}{859} into a mixed number, you first want to divide the numerator (1000) by the denominator (859):
1000 \div 859 = 1 R141

The quotient, which is 1, will be your whole number part of your mixed number. The remainder, 141, will become the numerator of the fraction part of your mixed number. The original denominator of your improper fraction, 859, is still the denominator of your mixed number. So your mixed number form of your improper fraction is:
\frac{1000}{859} = 1 \frac{141}{859}

Your answer is 1 \frac{141}{859}

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Step-by Step explaination:

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3 years ago
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