Answer:
Hi,
Step-by-step explanation:
The playground 's area is the difference of 2 squares:
20²-10²=(20+10)*(20-10)=30*10=300 (ft²)
Answer:
b. f(x) = -3(x+1)^2+2
Step-by-step explanation:
i hope this helps :)
For a binomial expansion with exponent 5, the general equation is as follows
(x + y)⁵ = x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵
when expanded from left to right the powers of x decrease from 5 to 0 and powers of y increase from 0 to 5
substitute x =2x and y = 5
(2x + 5)⁵ = (2x)⁵ + 5(2x)⁴5 + 10(2x)³5² + 10(2x)²5³ + 5(2x)5⁴ + 5⁵
<span>= 32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125
</span>we use the pascals triangle to find the coefficient
we can use the binomial theorem to find the 4th term as well
exponent - 5
term - 4
5!/ (5-4)!4! * (2x)⁴5⁵⁻⁴
=120/24 *16x⁴*5
=400x⁴
Answer:
6^2x+52
Step-by-step explanation:
Answer:
Both 4x^2 and 64 are perfect squares
Step-by-step explanation:
If you are looking for the difference of squares, the two terms both have to be squares. We know that 64 is a square because it is 8 x 8. Also, we can say 4x^2 is a square because it can also be written as (2x)^2. We are basically looking for an option that tells us that they are square. This is option 1.
The second option is invalid because being an even number does not mean the number is a square.
The third option does not help the case much either. Just because there is a common perfect square factor, does not mean the numbers themselves are perfects squares.
