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arsen [322]
3 years ago
10

HELP PLEASE ILL GIVE BRAINLIEST

Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Lol I don't know how to make a table on this site, but I will try!

___________________________________________

health: __7__⊥__14___⊥__21__⊥__28_

   fire:          12    ║                      24     ║          36        ║

__________________________________________

There are not any common factors between 7 and 12 until they are multiplied

The health inspector and the fire inspector will visit on the same day in 84 days

Hope I helped! Comment if you have a question about my answer! :)

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Consider the following division of polynomials.
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x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

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and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

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and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

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The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the t
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The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

<h3>What is triangle inequality theorem?</h3>

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

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There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.

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Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

Learn more about the triangle inequality theorem here;

brainly.com/question/26037134

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