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There is a 2 digit number such that the sum of its digits is 6 while the product of the digits is one-third the original number Find the number?
if the digits are A and B, then we are given:A + B = 6A * B = (10A + B) / 3∴ B = 6 - A∴ A * (6 - A) = (10A + [6 - A]) / 3∴ 6A - A2 = (9A + 6) / 3∴ 6A - A2 = 3A + 2∴ 6A - A2 - 3A - 2 = 0∴ A2 - 3A + 2 = 0∴(A - 2)(A - 1) = 0∴A ∈ {1, 2}A + B = 6∴ B ∈ {5, 4}∴ The numbers 15 or 24 both meet these conditions.
What are the dimensions of a garden with an area of 72 square feet and a perimeter of 36 feet?
If the length and width are L and B feet, then 2(L + B) = 36 => L + B = 18 => L = 18 - B L*B = 72 => (18 - B)B = 72 B2 - 18B + 72 = 0 => (B - 6)(B -12) = 0 => B = 6 or B = 12 B = 6 => L = 12 and B = 12 => L = 6 So the dimensions are 6 ft x 12 ft. The dimensions are: length 12 feet and width 6 feet. --- Area = length x width a x b = 72 Perimeter = 2 x length + 2 x width 2a+2b=36 The two equations can be solved by substituting a for b (a2-18a+72=0), with the results a = 6 or 12 and b is the other
Can you help me with this in a 2 by 2 matrix -1 2 -1 -4 times a 2 by 1 matrix 1 2 equals a b what is a and what is b?
-1 2 2 0 x = -1 -4 1 -6 Answer: a = 0 and b = -6
What square of a number minus five times the number is 6 Find all such numbers?
x^2-5x-6+0 (X-6)(x+1) = 0 X = 6 X = -1 or you can use quadratic formula x = (-b+/-sqrt(b^2-4ac))/2 where a = 1 b = -5 c = -6 X = 6,-1
3x2squared plus bx-5 equals 0?
3x2 + bx - 5 = 0 ∴ 3x2 + bx = 5 ∴ x2 + bx/3 = 5/3 ∴ x2 + bx/3 + (b/6)2 = 5/3 + (b/6)2 ∴ (x + b/6)2 = (45 + b2) / 36 ∴ x + b/6 = ±[(45 + b2) / 36]1/2 ∴ x = [-b ± (45 + b2)1/2] / 6
Write the equation of a line in slope intercept form that has a slope of 4 and passes through the point 0 6?
m=4/1 replace x and y with 0 and 6 to get 6=4(0)+b then we can deduce that b=6 so the equation would be y=4x+6, or 4x-y+6=0
What is the smallest digit that can replace B and make the number divisible by 6?
6 (or 0)
There is a 2 digit number such that the sum of its digits is 6 while the product of the digits is one-third the original number Find the number?
if the digits are A and B, then we are given:A + B = 6A * B = (10A + B) / 3∴ B = 6 - A∴ A * (6 - A) = (10A + [6 - A]) / 3∴ 6A - A2 = (9A + 6) / 3∴ 6A - A2 = 3A + 2∴ 6A - A2 - 3A - 2 = 0∴ A2 - 3A + 2 = 0∴(A - 2)(A - 1) = 0∴A ∈ {1, 2}A + B = 6∴ B ∈ {5, 4}∴ The numbers 15 or 24 both meet these conditions.
Who is in and who is out of the World Cup 2014?
Here is a daily update of who are definitely through to the Round of 16 and who are eliminated for World Cup 2014. In brackets are Group & Points to date.After 21 June matches:5 Teams in: Netherlands (B,6), Chile (B,6), Colombia (C,6), Costa Rica (D,6), Argentina (F,6)5 Teams out: Cameroon (A,0), Australia (B,0), Spain (B,0), England (D,0), Bosnia & Herzegovina (F,0)So 27 teams are playing for the remaining 11 spots.
Is -6 an irrational number?
-6 is rational, as it can be written as 1/b (-6/1). An example of an irrational number is pi, as it has an infinite amount of decimal places.
What two numbers multiply to give you negative 12 but add up to give you 4?
16
How do you write a program in C to swap two variables without using the third one by taking some values?
xor swap is the swap you are asking for XORSwap( int a, int b ) { a = a ^ b; b = a ^ b; a = a ^ b; } xor is a bitwise operation like '&'(and) and '|'(or) but with the resulting value being one but not the other. 0 ^ 0 is 0 1 ^ 0 is 1 0 ^ 1 is 1 1 ^ 1 is 0 so if a is 6 and b is 3 a is 110 in binary b is 011 in binary step 1 a = a ^ b; a = 110 ^ 011 1 ^ 0 = 1 1 ^ 1 = 0 0 ^ 1 = 1 a is 101 after step 1 b remains 011 after step 1 step 2 b = a ^ b; b = 101 ^ 011 1 ^ 0 = 1 0 ^ 1 = 1 1 ^ 1 = 0 a remains 101 after step 2 b is 110 after step 2 step 3 a = a ^ b; a = 101 ^ 110 1 ^ 1 = 0 0 ^ 1 = 1 1 ^ 0 = 1 a is 011 after step 3 b remains 110 after step 3 a started as 110 ( 6 ) b started as 011 ( 3 ) a ended as 011 ( 3 ) b ended as 110 ( 6 ) no extra variables needed
What are the dimensions of a garden with an area of 72 square feet and a perimeter of 36 feet?
If the length and width are L and B feet, then 2(L + B) = 36 => L + B = 18 => L = 18 - B L*B = 72 => (18 - B)B = 72 B2 - 18B + 72 = 0 => (B - 6)(B -12) = 0 => B = 6 or B = 12 B = 6 => L = 12 and B = 12 => L = 6 So the dimensions are 6 ft x 12 ft. The dimensions are: length 12 feet and width 6 feet. --- Area = length x width a x b = 72 Perimeter = 2 x length + 2 x width 2a+2b=36 The two equations can be solved by substituting a for b (a2-18a+72=0), with the results a = 6 or 12 and b is the other
Can you help me with this in a 2 by 2 matrix -1 2 -1 -4 times a 2 by 1 matrix 1 2 equals a b what is a and what is b?
-1 2 2 0 x = -1 -4 1 -6 Answer: a = 0 and b = -6
6 b to an 0 in c?
Six Balls to an Over in Cricket.
What square of a number minus five times the number is 6 Find all such numbers?
x^2-5x-6+0 (X-6)(x+1) = 0 X = 6 X = -1 or you can use quadratic formula x = (-b+/-sqrt(b^2-4ac))/2 where a = 1 b = -5 c = -6 X = 6,-1
3x2squared plus bx-5 equals 0?
3x2 + bx - 5 = 0 ∴ 3x2 + bx = 5 ∴ x2 + bx/3 = 5/3 ∴ x2 + bx/3 + (b/6)2 = 5/3 + (b/6)2 ∴ (x + b/6)2 = (45 + b2) / 36 ∴ x + b/6 = ±[(45 + b2) / 36]1/2 ∴ x = [-b ± (45 + b2)1/2] / 6
