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 :)
The number in exponential form should have an exponent of 3 so x^3 equals 3^3 (3×3×3=27). Since the exponent is the same, set the bases equal. Answer: A. X=3
Answer:
$2.95 for a small popcorn
Step-by-step explanation:
you do 8 multiplied by $7.50
which gives you $60 for the total spent together on tickets and then you do
$60 minus the total cost which is $83.60 and you get $23.60 left and then
you divide $23.60 by 8 because there is 8 people and you get a total of 2.96 for a popcorn
Answer: Option C
, 
Step-by-step explanation:
If the lines m and n are parallel then the large triangle and the small triangle are similar triangles, because they have equal angles.
By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a', b', c' then:
In this case
So:
Now solve the equation for the variable y
We know that
and
Then
Finally the answer is:
,
