Answer:
24+8x (correct)
2(12+4x) (correct because if we are to combine it will be 24+8x)
4(2x+6x) (incorrect because if we are to combine it will be 8x+24x)
4(6)+2x (incorrect because if we are to combine it will be 24+2)
24+8 incorrect because there is no x value
4(2x+6) correct if we are to combine it will be 8x+24
10 is the sqrt of 100, 10*10=100.
ANSWER
EXPLANATION
The prime factorization of the two numbers are
and
To find the least common multiple , we collect the factors with the powers and multiply them out.
The highest power of 2 is
The highest power of 3 is
The highest power of 5 is
and the highest power of 7 is
Therefore
Answer: 4
Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.
Answer:
length = 10 in, width = 6 in
Step-by-step explanation:
Let the width be x.
Then, length = (x+4)
Area = 60 in²
Area of a rectangle = width × length
60 = x × (x+4)
60 = x² + 4x
x² + 4x - 60 = 0
Splitting the middle term :-
x² + 10x - 6x - 60 = 0
x (x + 10) - 6 ( x + 10) =0
(x + 10) ( x - 6)
x = -10 (doesn't fulfill our requirement)
x = 6
So, width = 6 in
length = 6+4 = 10 in