Divide these polynomials using long division.

Mathematics

1 answer:

MariettaO [177]3 years ago

5 0

The steps are more or less the same, except for one new addition:

1.Divide the tens column dividend by the divisor.

2.Multiply the divisor by the quotient in the tens place column.

3.Subtract the product from the divisor.

4.Bring down the dividend in the ones column and repeat.

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Which of the following equations is written in standard form?

Harlamova29_29 [7]

Standard Form is ax + by = c, where a, b, and c are not fractions and a is not negative.

So, you can go through each of your options to see which ones work with those rules.

A. 2.5x + 3y = 12 No, this is not in Standard Form. 2.5 can be rewritten as 2 $\frac{1}{2}$ , menaing A is a fraction, which you can't have.

B. -10x - 3y = 1 No, this is not in Standard Form. A is -10, but A can't be negative.

C. 2x + 3y = 12 Yes, this is in Standard Form. It follows all of the rules.

D. 5x + 5y = 10 Yes, this is in Standard Form. It follows all of the rules.

So, C and D are both written in Standard Form.

6 0

3 years ago

What is the solution of x=2+\sqrt(x-2) x = 2 x = 3 x = 2 or x = 3 no solution

svp [43]

$D:x\geq2\\\\
x=2+\sqrt{x-2}\\
\sqrt{x-2}=x-2\\
x-2=x^2-4x+4\\
x^2-5x+6=0\\
x^2+x-6x+6=0\\
x^2-2x-3x+6=0\\
x(x-2)-3(x-2)=0\\
(x-3)(x-2)=0\\
x=3 \vee x=2$