Answer:
Step-by-step explanation:
Given
Required
Find the equivalent
We start by changing the / to *
Factorize 10a - 5
Expand 4a² - 1
Express (2a)² - 1² as a difference of two squares
Difference of two squares is such that:
The expression becomes
Combine both fractions to form a single fraction
Divide the numerator and denominator by 2a - 1
Simplify the numerator
Hence,
=
Answer:
See explanation below
Step-by-step explanation:
First we will going to rewrite 54 into its prime factors: 54 = 3³(2)
So, the expression can be written as:
<u>*We used the fact that a square root is like having a 1/2 exponent so we multiplied the exponents inside the root by 1/2 and then simplified them*</u>
Answer:
3 seconds
Step-by-step explanation:
We have to give us the following function h (t) = - 16 * t ^ 2 + 48 * t + 3
Now, they tell us that the height is 3 feet, therefore replacing that value we have left:
3 = -16 * t ^ 2 + 48 * t + 3, operating cancels 3. And it would be:
-16 * t ^ 2 + 48 * t = 0
Removing common factor -16 * t, it would be:
(-16 * t) * (t - 3) = 0
We have two solutions:
-16 * t = 0 ---> t = 0
t - 3 = 0 ---> t = 3
Because the time cannot be 0 seconds, the time it would take the ball in the air is 3 seconds.
A^2+B^2=C^2
6*6+6*6 = sqrt(72) so... 8.49 blocks in a Northwest Direction
216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 =