ANSWER
The midpoint of both diagonals is
EXPLANATION
We can use either diagonals to determine the midpoint.
We use the midpoint formula
Let us use the first diagonals H(-2,2) and J(4,-2)
Using the second diagonals also gives,
Answer:
- 8
Step-by-step explanation:
Given
(3x² - 5)(4 + 4x²)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(4 + 4x²) - 5 (4 + 4x²) ← distribute both parenthesis
= 12x² + 12
- 20 - 20x² ← collect like terms
= 12 - 8x² - 20
The coefficient of the x² term is - 8
Answer:
Step-by-step explanation:
1. regroup terms
2. Rewrite 
as 
and 343 as 
3. Since both terms are perfect cubes, factor using the sum of cubes formula, 
, where 
and 
4. Factor 
out of 
5. Regroup
6. Factor again
The "rule of 72" says that the doubling time in years is approximately 72 divided by the interest rate in percent. To make the money grow by a factor of 4 requires that it double twice, so will take twice as long as the period to double once.
2×72/11.3 ≈ 12.7 . . . . years
_____
The "rule of 72" is an approximation. The actual quadrupling time for this interest rate and compounding is about 12.6 years. (The actual product of doubling time and nominal interest rate is about 71.25.)
