Answer:
y=(x+5)²/6 + 1/3
Step-by-step explanation:
Use the distance formula to plug in the values you know:
√(y+1)² =√(x+5)² +( y-2)²
the square roots cancel out
(y+1) ²= (x+5)² +(y-2)²
(y+1) (y-1)= (x+5)² + (y-2) (y-2)
y²+2y+1= (x+5)² + y² -4y+4
the y² cancel out
2y+ 4y = (x+5)² + 4-1
6y= (x+5)² +3
y= (x+5)² /6+ 1/3
We have no factors to go by
Answer:
2 cars
Step-by-step explanation:
105 + 895 + 1120 = 2120
He has to pay 2120 of downpayment
2120 - 1919 = 201
Subtract what he already has
He needs 201 more dollars to rent his first apartment
He needs to do 1.21818182 cars...
You cant do 1/5 of a car so he has to do 2 cars
Complete question is;
It took Priya 5 minutes to fill a cooler with 8 gallons of water from a faucet that was flowing at a steady rate. Let w be the number of gallons of water in the cooler after t minutes. Which of the following equations represent the relationship between w and t? Select all that apply
A) w = 1.6t
B) w = 0.625t
C) t = 1.6w
D) t = 0.625w
Answer:
Option A: w = 1.6t
& Option D: t = 0.625w
Step-by-step explanation:
We are told It took Priya 5 minutes to fill a cooler with 8 gallons of water at a steady rate.
Thus;
Rate of filling = 8 gallons/5 minutes = 1.6 gallons/minutes
Now, we are told that w is the number of gallons of water in the cooler after t minutes.
Thus, to find w, we will multiply the rate by t minutes.
w = 1.6 gallons/minutes × t minutes
w = 1.6t gallons
Or we can write as;
w/1.6 = t gallons
0.625w = t gallons
Therefore, options A & D are correct.
Answer:
b²√(30b)
Step-by-step explanation:
The number 30 has factors 2, 3, 5, so there are no squares.
The square root of the 5th power of b is b^(5/2) = (b^2)(b^(1/2)). That is, the square of b^2 can be removed.
![\sqrt{30b^5}=\sqrt{b^4\cdot30b}=\boxed{b^2\sqrt{30b}}](https://tex.z-dn.net/?f=%5Csqrt%7B30b%5E5%7D%3D%5Csqrt%7Bb%5E4%5Ccdot30b%7D%3D%5Cboxed%7Bb%5E2%5Csqrt%7B30b%7D%7D)