The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. In this case, the LCM of ab and bc would be the product of the two numbers divided by their greatest common divisor (GCD), which is b. Therefore, the LCM of ab and bc is abc.
LCM is the multiple of the highest power of prime factors in two or more numbers. Example: LCM of 9, 15, and 25 is 225, which is the multiple of the highest power of prime factors in 9, 15, and 25 (32 x 52).
The GCF is b.
bcd
The GCF is b.
That factors to (b + 3)(a + c)
yes because ab plus bc is ac
If the difference of AB and the difference of BC is 98, it can be expressed mathematically as ( AB - BC = 98 ). To find the sum of AB and C, we need more information about the values of AB and BC. Without additional details about the relationships between AB, BC, and C, we cannot determine the exact sum of AB and C.
Commutativity.
gcd(a,b) = 1, Since lcm is the multiple of a and b, a|lcm(a,b) =⇒ lcm(a,b) = ax b|lcm(a,b) =⇒ b|ax =⇒ ax = bq for q∈Z Since gcd(a,b) = 1,b |x and b≤x =⇒ ab ≤ ax ---→ (O1) However, ax is the least common multiple and ab is a common multiple of a and b, ax ≤ ab ---→ (O2) by (O1) and (O2) , ax = ab lcm(a,b) = ab
All the trigonometric functions are derived from the right angled triangle. If we consider the three sides (AB, BC, CA) of a triangle and the included angle. There is a possibility of getting six functions based on the ratios like AB/AC, BC/AC, AB/BC, BC/AB, AC/BC, AC/AB . So we will have six trigonometric functions
To determine if segments AB and BC are on the same line, you need to check if points A, B, and C are collinear. This can be confirmed by examining if the slope of AB is equal to the slope of BC. If the slopes are the same, then segments AB and BC lie on the same line. Otherwise, they are not collinear.
Do you mean F = abc + abc + ac + bc + abc' ? *x+x = x F = abc + ac + bc + abc' *Rearranging F = abc + abc' + ab + bc *Factoring out ab F = ab(c+c') + ab + bc *x+x' = 1 F = ab + ab + bc *x+x = x F = bc
AB and BC are both radii of B. To prove that AB and AC are congruent: "AC and AB are both radii of B." Apex.
Line AB is perpendicular to BC. you can say this like; Line AB is at a right angle to BC
AB + AC + BC = 48 AB + (AB +9) + (AB + 9 + 3) = 48 Solve and AB = 9 So AB = 9, AC = 18 and BC = 21
To find the possible length for side AB in triangle ABC with sides BC = 12 and AC = 21, we can use the triangle inequality theorem. The sum of the lengths of any two sides must be greater than the length of the third side. Therefore, we can write the inequalities: AB + BC > AC → AB + 12 > 21 → AB > 9 AB + AC > BC → AB + 21 > 12 → AB > -9 (which is always true) BC + AC > AB → 12 + 21 > AB → 33 > AB or AB < 33 Combining these, we get the inequality: 9 < AB < 33.
AC=5 AB=8 A=1 B=8 C=5 BC=40