The lines are parallel that mean that they both have a slope of 2
Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
<span>the highest common factor is forty-five</span>
Answer:
The solution to the system of equations is (1.6,-2)
Step-by-step explanation:
You have to plug the x which is -2 into the equation.
You would get y=2/3(-2)+3
Then you would calculate that to get y=1.6
Lastly you combine the y answer to the x answer to get the coordinates (1.6,-2)
Answer:
1 is Yes, 2 is No, 3 is No, 4 is No
Step-by-step explanation:
