Answer: 
+ 
= 
Step-by-step explanation:
The standard form of equation of a circle is written in the form:
+ 
= 
where a and b are the coordinates of the center and r is the radius.
All we need to do is to covert the given equation into this form, how do we do that?
We will achieve this by using the completing method of solving quadratic equation.
Firstly re - write the equation , that is
- 6x + 
-4y = 12
The next thing is to Complete the square for each of x and y
How do we do this ?
i. multiply the coefficient of x and y by 1/2
ii. square the results
iii. Add the result to both sides of the equation , that is
- 6x + 
- 4y + 
= 12 ++
The next thing is to write the Left hand side of the equation as a perfect square binomial and simplify the Right hand side. That is
+ = 25 , that is
+ =
Which is now in standard form of the equation of a circle.
ok well if Jeff rode his bike on a trail that was 1/3 of a mile and he did it nine times these is what you would do-
1/3x9=3
hope this helps
Answer:
I can only say it is not the first one
Step-by-step explanation:
I don't really know the rest of it but I know that the first one is not correct
She took a total of 60 minutes
she answered both mulitiple choice and extended response in the total time which is 60 minutes
she took 2 minutes on rach multiple choice question and 6 minutes for the extended response
let x=number of multiple choice questions
let y=number of extended response questions
we can deduce that
total time =x*2+y*6
60=2x+6y
also we can deduce
20=x+y
since 20 ia the sum of multiple choice and extended response
for part 2 we just solve the system of equations
60=2x+6y
20=x +y
lets multiply the second equation by 2 so we can get rid of x
60=2x+6y
40=2x+2y
subtracting the two equations from each other to yields
20=0 +4y
y=5
to get x we substitute in one of the equations we derived from question 1
x+y=20
substituting y for its value we get
x+5=20
x=15
Answer:
360π
Step-by-step explanation:
Put the given numbers in the volume formula and do the arithmetic.
V = πr²h . . . . . r is the radius; h is the height
V = π(6²)(10)
V = 360π
The volume is 360π cubic units.
