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:
An 8 inch Circle has a diameter of 8 inch, whereas the 8 inch square has length and width of 8 inch
Step-by-step explanation:
For a circle to be an 8 inch, the diameter should be 8 inches. Square's sides are equal, so we would have 8 inches on each side of the square. The area of this 8 inch square would be 64 in^2, whereas the 8 inch circle's area is 50.24 inch ^2. (because (3.14)(r^2))
Answer:
Difference= $25.28
Step-by-step explanation:
Giving the following information:
She took $48.95 with her to spend. She spent $23.57 at one store.
<u>To calculate the money she has left, we need to use the following formula:</u>
Difference= total amount of money - money spent
Difference= 48.95 - 23.57
Difference= $25.28
True
An easy way to tell if a number is irrational if you cannot count it, or convert it into a decimal/fraction.
Such as pie, square root of 11, etc.
Answer: Weight of Charles = 177.5 pounds
Weight of dos = 22.5 pounds.
Step-by-step explanation:
Let x = Weight of Charles
y = Weight of dog.
As per given , we have the following system of linear equation :
We can write (ii) as :
Subtract equation (iii) from (i) , we get
Put this value in (1) , we get
Hence , Weight of Charles = 177.5 pounds
Weight of dos = 22.5 pounds.
