Complete the square in the denominator.
Rewrite the given transform as
Now take the inverse transform:
The first one you have 
=
. To solve this you would multiply both sides by 3.
=x
Then simplify by dividing the numerator and denominator by 3.
=x (or in a mixed fraction 1
)
The second one you have 
=
. To solve this you would multiply both sides by x.
x=3
Now you would divide both sides by .
x=
You now then multiply 3 by 24 and then divide by 7.
x= (in a mixed fraction would be 10
)
Answer:
d = 5t + 20
Step-by-step explanation:
d represents the distance and t represents the time, in hours
Let he equation which model this situation ⇒ d = a t + b
Where a and b are constant.
Let the gas station is the starting point
So, at gas station t = 0 , d = 20
∴ 20 = 0 * a + b ⇒ b = 20
When he reaches home 2 hours later notes that he has traveled 30 miles.
and with substituting with b = 20
∴ 30 = 2 * a + 20
2a = 30 - 20 = 10 ⇒ a = 10/2 = 5
∴ d = 5t + 20
The equations that can be used to model this situation <u>d = 5t + 20</u>
For solving of the area of a square pyramid, we can use the formula below:
A=a²+2a sqrt (a²/4 +h²)
where s for the slant height, r for the a/2, where a is the side length and h for the height
Substitute the values,
A=40²+(2*40) SQRT (40²/4 +21²)
A=3920
The answer is 3920 for the area of the square pyramid.
The hand went around 7 numbers.
