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To test primality, you need to check whether the number is divisible by the prime numbers less than the integer part of its square root. I did it by noticing that 999,919 is almost 1,000,000 when I was determining what number would be close to its square root. The square root of 1,000,000 is 1,000. Then, since 999,919 is 1,000,000 - 81, it is one square number minus another: 1,0002 - 92. So, I know that 999,919 can be factored because of the Pythagorean theorem: a2 + b2 = c2, which can be rewritten as a2 = c2 - b2 = (c - b)(c + b). By substituting 999,919 for a2, 9 for b, and 1000 for c, I have 999,919 = (1000 - 9)(1000 + 9) = 991 x 1009. So, because 999,919 has factors other than 1 and itself, it cannot be a prime number.
a2+b2=c2 a=24+b=24=c2 576=576 ------------ 2 576
If that's + c3, the answer is c(c - 1)(c + 1)(c + 1)
Irrational numbers can be represented on a number line. For example, to graph the square root of two, draw a line of 1 unit (1 unit = the distance between the points of two whole numbers) from -1 which is perpendicular to the number line. Then, using a compass, place the pointy end on 0, the pencil tip on the end of the drawn line that is not touching the number line and drawing an arc so that it hits the number line on the positive side. Draw a point at where the arc meets the number line. That point is the square root of 2. This works because of Pythagoras theorem (a2+b2=c2, 12+12=22).
1. Determine the height difference (a) between the start and end of the slope by subtracting the starting height from the final height (if it is a downhill slope the difference will be a negative number) 2. Determine the horizontal distance (b) between the starting point and the final point. If you only know the actual linear distance (c) along the slope, you can figure the horizontal distance using the Pythagorean Theorem: a2+b2=c2. For example, if the linear distance (c) along the slope from start to finish is 1000 feet, and the height difference (a) is 75 feet, then using the theorem you would have 752+b2=10002or 5625+b2=1000000. Your horizontal distance (b) would therefore be b2=994375 or b=997.2 feet 3. Divide the height difference (a) by the horizontal distance (b) and multiply by 100. This gives you the grade of the slope in percent. In the example it would be 75 ÷ 997.2 × 100 = 7.5% grade
C2+6c-9
(c + d)(c - d)
There is a formula for the difference of squares. In this case, the answer is (C + D)(C - D)
A trinomial is a polynomial with three unlike terms, ex. a+b+c, a2+b2+c2
on the back
Here~ D2 D2 D2 B D2 C2 B A C2 C2 C2 A C2 B A G D2 D2 D2 G G A B C2 C2 C2 C2 D2 C2 B A G D2 D2 D2 B D2 D2 D2 B D2 D2 D2 E2 D2 D2 B C2 C2 C2 A C2 C2 C2 A C2 C2 C2 B2 C2 B A G
Any, it does not matter.
12c
A c2 c2 c2
Nokia C2-03 is not compatible for youtube videos, it is not possible to watch any video from the internet options
#include<iostream.h> #include<conio.h> class complex { int a,b; public: void read() { cout<<"\n\nEnter the REAL PART : "; cin>>a; cout<<"\n\nEnter the IMAGINARY PART : "; cin>>b; } complex operator +(complex c2) { complex c3; c3.a=a+c2.a; c3.b=b+c2.b; return c3; } complex operator -(complex c2) { complex c3; c3.a=a-c2.a; c3.b=b-c2.b; return c3; } complex operator *(complex c2) { complex c3; c3.a=(a*c2.a)-(b*c2.b); c3.b=(b*c2.a)+(a*c2.b); return c3; } complex operator /(complex c2) { complex c3; c3.a=((a*c2.a)+(b*c2.b))/((c2.a*c2.a)+(c2.b*c2.b)); c3.b=((b*c2.a)-(a*c2.b))/((c2.a*c2.a)+(c2.b*c2.b)); return c3; } void display() { cout<<a<<"+"<<b<<"i"; } }; void main() { complex c1,c2,c3; int choice,cont; do { clrscr(); cout<<"\t\tCOMPLEX NUMBERS\n\n1.ADDITION\n\n2.SUBTRACTION\n\n3.MULTIPLICATION\n\n4.DIVISION"; cout<<"\n\nEnter your choice : "; cin>>choice; if(choice==1choice==2choice==3choice==4) { cout<<"\n\nEnter the First Complex Number"; c1.read(); cout<<"\n\nEnter the Second Complex Number"; c2.read(); } switch(choice) { case 1 : c3=c1+c2; cout<<"\n\nSUM = "; c3.display(); break; case 2 : c3=c1-c2; cout<<"\n\nResult = "; c3.display(); break; case 3 : c3=c1*c2; cout<<"\n\nPRODUCT = "; c3.display(); break; case 4 : c3=c1/c2; cout<<"\n\nQOUTIENT = "; c3.display(); break; default : cout<<"\n\nUndefined Choice"; } cout<<"\n\nDo You Want to Continue?(1-Y,0-N)"; cin>>cont; }while(cont==1); getch(); }
Using the Pythagorean Theorem, a2 +b2=c2 where c is the hypotenuse. So if we say that the legs are equal to 4 cm and 5 cm respectively we can rewrite the equation 42+52=c2 -> 16+25=41=c2 so then, c= the square root of 41, which is an irrational number.