Answer:
(x + 3)² + (y - 7)² = 81
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
here (h, k ) = (- 3, 7 ) and r = 9 , then
(x - (- 3) )² + (y - 7)² = 9² , that is
(x + 3)² + (y - 7)² = 81
I'm assuming this is x^2 + 3x - 4 and x(x^2 + 3x - 2)
1.) First distribute x(x^2 + 3x - 2) to get x^3 + 3x^2 - 2x.
2.) Because you are subtracting all the terms from x^3 + 3x^2 - 2x, it's the same thing as distributing -1 to x^2 + 3x - 4 and then adding it to x^3 + 3x^2 - 2x.
3.) -1(x^2 + 3x - 4) = -x^2 - 3x + 4
4.) Add (x^3 + 3x^2 - 2x) + (-x^2 - 3x + 4)
5.) x^3 + 2x^2 - 5x + 4 is your final answer.
Answer:
307/500
Step-by-step explanation:
307 is a prime number.
The way to find this out is to take 0.614 and multiply it by 1,000 because then it will be a natural number. 0.614*1,000=614.
now you take 614/1,000 because that's what you multiplied it by and simplify it.
614/2 and 1,000/2=307/500 and this cannot be simplified any more than this because 307 is a prime number.
The first is proportional the second is proportional and the third is not proportional
You have to keep order of operations in mind.
1. Take care of the parentheses; distribute.
-3+6x-3=-20-8x
Simplified: 6x-6=-20-8x
2. Isolate the x variable.
Add 8x to both sides and add 6 to both sides.
14x=-14
3. Solve for x.
Divide by 14 on both sides.
x=-1
