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IgorLugansk [536]
4 years ago
6

Show that the points A(2,-2), B(14, 10), C(11, 13) and

Mathematics
1 answer:
Vedmedyk [2.9K]4 years ago
6 0

Answer:

  is not a rectangle

Step-by-step explanation:

The midpoints of the diagonals are ...

  AC midpoint = ((2, -2) +(11, 13))/2 = (13/2, 11/2)

  BD midpoint = ((14, 10) +(-2, 1))/2 = (6, 11/2)

The midpoints of the diagonals are different, so this is not a rectangle or any sort of parallelogram.

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three numbers are in an arithmetic progression. Their sum is 3 and the sum of their squares is 11. what are the three numbers
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The three numbers are 12, 18 and 24

Arithmetic progression

Let the 3 number in arithmetic progression be:

a-d, d, a+d ...

If their sum is 3, then;

a-d+d+a+d = 3

2a + d = 3 ........... 1

If the sum of their squares is 11, then;

(a-d)² + d² + (a+d)² = 11

a²-2ad+d²+d²+a²+2ad+d²  11

2a²+3d² = 11 ....... 2

Solving the equations simultaneously, d = 6 and a = 12

First-term = 12

second term = 18

Thirs term = 24

Hence the three numbers are 12, 18 and 24

Hope this helps you!!!!!! :D

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Step-by-step explanation:

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You have two coupons for a store. Coupon 1 is for $10 dollars off. Coupon 2 is for 15% off. Coupon 2 is for 15% off. You can onl
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Answer:

Purchases greater than 66.67 dollars should use coupon 2, while purchases between 20 dollars and 66.67 should use coupon 1.

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Coupon 1 must be used as long as those 10 dollars represent more money than 15% of coupon 2.

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In this case, coupon 2 would only be a discount of 3 dollars (20 * 0.15).

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Answer:

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