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How minus times minus is plus?
Let y= ab+(- a)(b) +(-a)(-b) factor out -a y= ab+(-a){b+(-b)} y=ab+(-a)(0) y =ab -------------------(1) now factor out b y= b{a+(-a)}+(-a)(-b) y= b(0) +(-a)(-b) y= (-a)(-b)-----------------(2) equate (1) and (2) (-a)(-b)=ab minus x minus = positive
How do you work out what bc is in algbra?
Algebraic Properties of Real Numbers The basic algebraic properties of real numbers a,b and c are: Closure: a + b and ab are real numbers Commutative: a + b = b + a, ab = ba Associative: (a+b) + c = a + (b+c), (ab)c = a(bc) Distributive: (a+b)c = ac+bc Identity: a+0 = 0+a = a Inverse: a + (-a) = 0, a(1/a) = 1 Cancelation: If a+x=a+y, then x=y Zero-factor: a0 = 0a = 0 Negation: -(-a) = a, (-a)b= a(-b) = -(ab), (-a)(-b) = ab
What is a Zero product postulate?
ab = 0 if and only if (a = 0 or b = 0)
Ab equals 0 if and only if a equals 0 or b equals 0?
yes
Prove A plus Ab equals A using boolean algebra theorem?
A+A*b does not mean A plus Ab the operation signified by "+" is called "or" the operation signified by "*" is called "and" there are four possible outcomes of a+a*b if a=1 and b=1 the result is 1 if a=1 and b=0 the result is 1 if a=0 and b=1 the result is 0 if a=0 and b=0 the result is 0 a+a*b is 1 if a is 1 and a+a*b is 0 if a is 0 regardless of the value of b thus a+a*b=a Q.E.D.
Why is a negative times a negative a positive?
Here is a proof. Let a and b be any two real numbers. Consider the number x defined as x = ab + (-a)(b) + (-a)(-b). We can write this out differently as x = ab + (-a)[ (b) + (-b) ] Then, by factoring out -a , we find that x= ab + (-a)(0) = ab + 0 = ab. Also, x = [ a + (-a) ]b + (-a)(-b) And by factoring out b, we find that x=0 * b + (-a)(-b) = 0 + (-a)(-b) = (-a)(-b). Therefore x = ab and x = (-a)(-b) Then, by the transitivity of equality, we have ab = (-a)(-b).
How minus times minus is plus?
Let y= ab+(- a)(b) +(-a)(-b) factor out -a y= ab+(-a){b+(-b)} y=ab+(-a)(0) y =ab -------------------(1) now factor out b y= b{a+(-a)}+(-a)(-b) y= b(0) +(-a)(-b) y= (-a)(-b)-----------------(2) equate (1) and (2) (-a)(-b)=ab minus x minus = positive
What blood type can donate donate to all blood?
Ab+ universal receiver o- universal donor blood types: can donate to: can receive from: ab+: ab+: ab+ ab- a+ a- b+ b- o+ o- ab-: ab+ ab-: ab- b- a- o- a+: a+ ab+: a+ a- o+ o- a-: a+ a- ab+ ab-: a- o- b+: b+ ab+: b+ b- o+ o- b-: b- b+ ab- ab+: b- o- 0+: o+ a+ b+ ab+: o- o+ o-: o+ o- a+ a- b+ b- ab+ ab-: o-
If a (0 0) and b (8 2) what is the length of ab?
The length of ab can be found by using the Pythagorean theorem. The length of ab is equal to the square root of (0-8)^2 + (0-2)^2 which is equal to the square root of 68. Therefore, the length of ab is equal to 8.24.
How do you work out what bc is in algbra?
Algebraic Properties of Real Numbers The basic algebraic properties of real numbers a,b and c are: Closure: a + b and ab are real numbers Commutative: a + b = b + a, ab = ba Associative: (a+b) + c = a + (b+c), (ab)c = a(bc) Distributive: (a+b)c = ac+bc Identity: a+0 = 0+a = a Inverse: a + (-a) = 0, a(1/a) = 1 Cancelation: If a+x=a+y, then x=y Zero-factor: a0 = 0a = 0 Negation: -(-a) = a, (-a)b= a(-b) = -(ab), (-a)(-b) = ab
What is a Zero product postulate?
ab = 0 if and only if (a = 0 or b = 0)
What are four groups of blood?
A, B, AB and 0
Is a 2-to-1 mux functionally complete?
Yes. AND operation = f(A,B) = AB = A'f(0,B) + Af(1,B) = A'(0B) + A(1B) = A'0 + AB OR operation - f(A,B) = A+B = A'f(0,B) + Af(1,B) = A'(0+B) + A(1+B) = A'B + A1 NOT operation - f(A) = A' = A'f(0) + Af(1) = A'(1) + A(0)
Ab equals 0 if and only if a equals 0 or b equals 0?
yes
when father have ab mother 0 plus child have?
A or B
A3 - b3 equals?
0
Prove A plus Ab equals A using boolean algebra theorem?
A+A*b does not mean A plus Ab the operation signified by "+" is called "or" the operation signified by "*" is called "and" there are four possible outcomes of a+a*b if a=1 and b=1 the result is 1 if a=1 and b=0 the result is 1 if a=0 and b=1 the result is 0 if a=0 and b=0 the result is 0 a+a*b is 1 if a is 1 and a+a*b is 0 if a is 0 regardless of the value of b thus a+a*b=a Q.E.D.
