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Use the distance formula to calculate the lengths two adjacent sides If they are the same length, then it is a square.
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Yahoo is not a site to do your homework
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These are pretty easy ^_^
1. get a piece of graph paper and draw out the top two squares of a coordinate plane (because you'll only be using the two) graph the coordinates they gave you, and see if it's a square or a rectangle
2. Figure out all your perfect squares ( 1*1=1, 2*2=4, 3*3=9 etc.) and see if any of those come out to 25
3.Find out the area of that rectangle :) (10*28) then find out what one quarter of the width is (28/4) use that new number multiplied by 10 to give you the new width. Then just compare the numbers.
4. Find out if 400 has a square root or not. The simplest thing to do would be to just keep multiplying numbers by themselves until you find one that equals 400. If you keep multiplying the numbers in order and none of them equal to 400, then the square root of 400 is IRRATIONAL. If there is a number multiplied by itself that equals to 400, then the square root of 400 is RATIONAL. Start multiplying by a number that you know multiplied by itself is less than 400 (Like 10, because 10*10=100) then just keep going (11*11, 12*12 etc.)
Sorry if it took a lot to explain :) I wanted to explain the questions step by step. I hope I helped and good luck! :)
1. get a piece of graph paper and draw out the top two squares of a coordinate plane (because you'll only be using the two) graph the coordinates they gave you, and see if it's a square or a rectangle
2. Figure out all your perfect squares ( 1*1=1, 2*2=4, 3*3=9 etc.) and see if any of those come out to 25
3.Find out the area of that rectangle :) (10*28) then find out what one quarter of the width is (28/4) use that new number multiplied by 10 to give you the new width. Then just compare the numbers.
4. Find out if 400 has a square root or not. The simplest thing to do would be to just keep multiplying numbers by themselves until you find one that equals 400. If you keep multiplying the numbers in order and none of them equal to 400, then the square root of 400 is IRRATIONAL. If there is a number multiplied by itself that equals to 400, then the square root of 400 is RATIONAL. Start multiplying by a number that you know multiplied by itself is less than 400 (Like 10, because 10*10=100) then just keep going (11*11, 12*12 etc.)
Sorry if it took a lot to explain :) I wanted to explain the questions step by step. I hope I helped and good luck! :)