The answer is 54 pi in^3. All you have to do is multiply 3x3, then multiply that by 6 and you get the answer 54.
The formula is y=mx+b
To get the slope or m, use this formula
(the second y minus the first y)/(the second x minus the first x)
Now set it up.
(10-7)/(2--1)
3/3=slope is 1.
y=1x+b
Insert one of the points for x and y.
i will do (-1,7)
7=1(-1)+b
7=-1+b
8=b
Insert this into the final equation:
y=1x+8
Try it out. If you're not sure, try both points. If it works, then you set it up correctly.
Answer: it will cost £78.0672 to travel the 192 miles to Brighton.
Step-by-step explanation:
The minibus runs at 16 miles to a gallon of diesel. If there are 4.55 litres to a gallon and diesel costs £1.43 per litre, it means that the cost of a gallon of diesel would be
4.55 × 1.43 = £6.5056
This means that the cost of running 16 miles is £6.5056
Therefore, the amount that it will cost to travel the 192 miles to Brighton would be
(192 × 6.5056)/16 = £78.0672
Given:
The expression is:

It leaves the same remainder when divided by x -2 or by x+1.
To prove:

Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting
in the given polynomial.


Substituting
in the given polynomial.



Now, substitute the values of P(2) and P(-1) in (i), we get




Divide both sides by 3.


Hence proved.
82. Dora bought one package of each 1-pound pork, 2-pound pork and 4-pound pork.
Thus, she got a total of:
=> 1 pound + 2 pounds + 4 pounds = 7 pounds of pork.
Question: How many ¼ pound of hamburger she can make then with this given number of pork in pounds.
=> ¼ = 1 / 4 = .25
Now, let’s divide 7 pounds by .25 pounds
=> 7 / .25 = 28
Thus, She can make 28 hamburgers in all.