Answer:
The vertex form of the equation is
.
Step-by-step explanation:
You will use the equation
to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get
.
Then, we substitute the point as our x and y to get
(a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the
to get
. Finally, divide by 9 on both sides to get
.
Now, substitute your
back into the equation to get y =
.
This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get
.
Answer:
55/24
Step-by-step explanation:
First, multiply 1 7/8 by 5/6, obtaining 15/8 times 5/6, or 75/48.
Next, multiply 2 1/3 by 5/16. This is equivalent to multiplying 7/3 by 5/16, and the result of this multiplication is 35/48.
Now combine 75/48 and 35/48, obtaining 110/48, or 55/24.
Your answer is going to be odd
To determine how much of the barrel is left to fill, you must subtract the amount of water already in it from the total mass of the bucket.
25.5 - 5.2 = 20.3 Litres
In order to the fill the entire barrel, Kelly must collect 20.3 Litres of water. You must then covert the measurement from litres to millilitres so that the bucket and barrel are measured in the same units.
20.3L = 20300mL
You must then divide the amount of space left by the mass of the bucket. This will determine the least number of buckets needed to fill the barrel.
20300 <span>÷ 800 = 25.375
That means the you would have to do a minimum on 25.375 buckets to fill the barrel, or 26.
Hope this helps :) </span>