Make the numerator be the sum of a multiple of the denominator and a remainder...
30/8 is equal to:
(24+6)/8 is equal to
24/8+6/8
3+6/8
3 3/4
Answer:
m = - 8 ± 6
Step-by-step explanation:
Given
m² + 16m - 8 = 0 ( add 8 to both sides )
m² + 16m = 8
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(8)m + 64 = 8 + 64
(m + 8)² = 72 ( take the square root of both sides )
m + 8 = ± 
= ± 
= ± 6
Subtract 8 from both sides
m = - 8 ± 6
Here are the examples of functions in real life.
1. ATM
If you want to withdraw money from your account, the amount of money dispensed by the machine is the amount you request{input}.As a result, the amount requested is a function of the amount distributed{output}. The machine will never give you more or less than what you asked for.
2.Places you can drive with Two Gallons of Fuel
If you still have two gallons of gas in your car's tank, you can visit several locations before running out of gas. As a result, there could be several answers to this question. In this case, the input is two gallons of fuel, and the output is a list of places you can visit with that amount of fuel.
3. Number of Sodas in a Vending Machine
The number of sodas you get from a vending machine is determined by the amount of money you put into it. If you put the same amount in twice and choose the same soda, you will get the same number of cans as you did the first time. In this case, the number is determined by the amount fed into the machine.
Learn more about functions here:
brainly.com/question/12431044
#SPJ9
Answer:Since the volume of a cylinder formula involves the radius, you can solve for the radius and double it to find the diameter.
Write the formula. Volume=π⋅radius2⋅height.
Substitute the dimensions of the shape into the formula. Use 3.14 as the value for π. 791.28=3.14⋅r2⋅28.
Solve the equation for the variable.
Step-by-step explanation:
To calculate distance between two points we use the distance formula sqrt((x2−x1)^2+(y2−y1)^2).
To start, we find the square of the distance between x1 and x2 and y1 and y2. The distance between x1 and x2, or 1 and 3, is 2. The distance between y1 and y2, or 3 and -4, is 7.
Now we square 2 and 7 and add them together to get 4 + 49 = 53.
The last thing we do to find the distance is take the square root of 53. 53 is not a perfect square and is also a prime number so our answer in simplest form is still sqrt53.<span />
