The result is x^2 +x +4 -21/(x+3).
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Polynomial long division tends to be easier than numerical long division because the quotient term never needs adjustment. It is always the ratio of the highest degree terms of the dividend and divisor.
See the attachment for the intermediate steps.
Circle's Standard Form Equation:
First you need to substitute the C (0,-2) in the equation, where: Xo = 0 and Yo = -2;
Now you substitute the Point (3,-5) values in the last expression, where: X = 3 and Y = -5;
Now you get the R^2 value and substitute in the equation that you found putting the C values on it:
Here is your standard form equation of the circle.
Answer:
To subtract mixed numbers, subtract the whole number parts of the mixed numbers and then subtract the fraction parts in the mixed numbers. Finally, combine the whole number answer and the fraction answer to express the answer as a mixed number. Subtract. Simplify the answer and write as a mixed number.
Step-by-step explanation:
Well, let's first solve each equation:
1.) -4x + 6 - 3x = 12 - 2x - 3x
To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):
-7x + 6 = 12 - 5x
Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:
-7x + 6 = 12 - 5x
+5x +5x
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-2x + 6 = 12
Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:
-2x + 6 = 12
-6 -6
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-2x = 6
Finally, divide by -2 on each side, to find out what the value of 'x' is:
-2x = 6
÷-2 ÷-2
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x = -3
So, the answer is not 'A.'
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Now, we test out the rest of the equations, the exact same way:
2.) 4x + 6 + 3x = 12 + 2x + 3x
Combine your like-terms, on each side of the equal sign:
7x + 6 = 12 + 5x
Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:
7x + 6 = 12 + 5x
-5x -5x
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2x + 6 = 12
Next, subtract 6 from both sides:
2x + 6 = 12
-6 -6
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2x = 6
Finally, divide by 2, on both sides:
2x = 6
÷2 ÷2
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x = 3
So, the answer is 'B.'
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3.) 4x + 6 - 3x = 12 - 2x - 3x
Again, we combine the like-terms, on both sides of the equal sign:
x + 6 = 12 - 5x
Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:
x + 6 = 12 - 5x
+ 5x + 5x
______________
6x + 6 = 12
Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:
6x + 6 = 12
- 6 - 6
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6x = 6
Now, divide by 6, on both sides:
6x = 6
÷ 6 ÷ 6
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x = 1
So, the answer is not 'C.'
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4.) 4x + 6 - 3x = 12x + 2x + 3x
First, we combine the like-terms:
x + 6 = 17x
Next, we get both terms, with the variable, 'x,' to the same side:
x + 6 = 17x
-x -x
_____________
6 = 16x
Now, divide by 16, on both sides:
X = 3/8
So, 'D,' is not the answer.
_______________________
The answer is, 'B.'
I hope this helps!
2 times 10^4 means 2 with 4 zeroes after it or 20000
4 times 10^6=4 with 6 zeros after it or 400000
compare
20000 and 4000000
we can see that 4000000 is 200 times of 20000
therefor the answer is C
we can also do
(4 times 10^6)/(2 times 10^4)=4/2 times (10^6)/(10^4)=2 times 10^2=200
answer is C
