Let any integer be represented by x.
Then, the consecutive integer (the number that follows) should be x+1.
The statement wants us to prove;
(x+1)²-x²=x+(x+1) <-- solve left hand side
x²+x+x+1²-x²
2x+1 (solution for left hand side)
Now solve for right hand side.
x+(x+1)= 2x+1
As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.
Hope I helped :)
Answer:
x = 15
y = 63
Step-by-step explanation:
9x - 7 + 4x - 8 = 180
13x = 195
x = 15
9x - 7 = 2y + 2
126 = 2y
y = 63
1. 70 2. 22 3. 55 4. 45 5. 65
Answer:
D
Step-by-step explanation:
The best bet would be D because if its going counterclockwise 360 degrees then it would make a full rotation going back to the same position although I would work out the problem to the best of your ability just to make sure because I'm not entirely sure about my answer.
It would be B) 3/15
You distribute 5 to both 3x and 4, giving you 15x+20=23
Then, you subtract 20 from both sides of the equation, giving you 15x = 3
And then you divide both sides by 15 so you can isolate x
