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iren [92.7K]
3 years ago
7

Quadrilateral ABCD has vertices A(1, -3) , B(2, 1), C(6, 3), and D(7, -1). Prove or disprove that the Quad ABCD is a rectangle.

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0
If AC=BD, than Quad ABCD is a rectangle
AC
√(3+3)²+(6-1)²
√6²+5²
√36+25
√61
BD
√(1+1)²+(2-7)²
√2²+(-5)²
√4+25
√29
Quad ABCD is not a rectangle because √61 and √29 are not equal.
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4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4​
eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

a_n=a_1+d(n-1) and we are given enough info to fill in:

a_n=-35+4(n-1) and

a_n=-35+4n-4 and

a_n=-39+4n or in linear format:

a_n=4n-39 where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

a_2=4(2)-39 so

a_2=8-39 and

a_2=-31

The third term:

a_3=4(3)-39 and

a_3=12-39 so

a_3=-27 and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

a_5=4(5)-39 and

a_5=20-39 so

a_5=-19

7 0
3 years ago
Evaluate 2 tan 45 - tan 60​
Darya [45]

Answer:

2 - √3

Step-by-step explanation:

tan45 = 1

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2 tan 45 - tan 60​

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6 0
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Answer:

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Step-by-step explanation:

fiction books= X

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then,

fiction books= X

non fiction books = X-12

but Y= X - 12

from. the statement,

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Part B: 16x+TY=M
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Answer:

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