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3 years ago

Is it possible to form a square whose area is 18 by connecting four lattice points? Explain.

1 answer:

5 0

Note the squares... 13 is possible because it is a sum of two squares (integers) 9 + 4 .. use (0,3) & (2,0) ... get the square roots and place on different coordinate axes... for a simpler value. but there is none for 15... there is one for 18 ... 18 = 3^2 + 3^2 ... try (0,3) ,(3,0) , (3,6), (6,3).

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3 years ago

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2 years ago

a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th

Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

A positive number is 7 times another number:

a = 7b

If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:

a+3 = 5/2 × (b +3)

To solve this we substitute a with 7b in the second equation:

7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
14b + 6 = 5b + 15 ⇒ collecting like terms
14b - 5b = 15 - 6
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b = 1 ⇒ solved for b

Then, finding a:

a= 7b
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So the numbers are 7 and 1

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3 years ago

Two students are reading a novel. Ashley reads 10 pages per day. Carly reads 8 pages per day, but she starts

natulia [17]

Answer:

On day 20, they should both be on page 200

Step-by-step explanation:

I set the 2 equations up:

10d=8d+40 and then subtracted 8d from both sides

2d=40 and then divided both sides by 2

d=20

I then took 20 and multiplied it by 10 for Ashley (200) and then multiplied it by 8 for Carly (160) and added 40 (200)

Hope this helps!

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3 years ago