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Nata [24]
3 years ago
5

Please help me with this question.

Mathematics
2 answers:
dalvyx [7]3 years ago
5 0
West                                                                                                     East  
           
            M        N                                             J - - - - 356 km - - - - - P
                         l - - - - - - - 522 km - - - - - - - l
             l - - - - - - - - - - - - - - - - - - - - - - 928 km - - - - - - - - - - - - - - l

928 - 356 = 572
             l - - - - - - - - - - - - 572 km - - - - - - - l - - - - 356 km - - - - - - l

572 - 522 = 50 km      So Newton is 50 km East of Mayfield

Amiraneli [1.4K]3 years ago
4 0
Newton is 762 Km east of Mayfield. 

I send you a file wich the answer. 

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Add and Subtract Rational Expressions with a Common Denominator
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Answer:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}

Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}

Operating on the numerators:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}

Removing parentheses:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}

Simplifying:

\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}

The expression cannot be further simplified.

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Step-by-step explanation:

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Read 2 more answers
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Step-by-step explanation:

You need the sum of

3 + 6 + 9 + 12 + ... + 294 + 297

Factor out a 3 from the sum

3 + 6 + 9 + 12 + ... + 294 + 297 = 3(1 + 2 + 3 + 4 + ... + 98 + 99)

You need to add all integers from 1 to 99 and multiply by 3.

The sum of all consecutive integers from 1 to n is:

[n(n + 1)]/2

The sum of all consecutive integers from 1 to 99 is

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= 3 * 9900/2

= 14,850

4 0
3 years ago
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