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lakkis [162]
3 years ago
14

Find vertex for y=x^2 - 10x + 2

Mathematics
1 answer:
NARA [144]3 years ago
8 0
The vertex would be (5,-23)
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Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3) explain and show all steps
spayn [35]

Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3

<em><u>Solution:</u></em>

Given that,

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)

Here "times" represent multiplication

<em><u>The above sentence can be written mathematically as:</u></em>

\frac{-2}{5} \div \frac{8}{9} \times \frac{2}{9} \div \frac{-1}{3}

Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal

\rightarrow \frac{-2}{5} \times \frac{9}{8} \times \frac{2}{9} \times \frac{3}{-1}

Cancelling the common terms in numerator and denominator,

\rightarrow \frac{-2}{5} \times \frac{1}{8} \times \frac{2}{1} \times \frac{3}{-1}

Multiplying terms in numerator and denominator,

\rightarrow \frac{-12}{-40}

Negative sign in numerator and denominator cancels each other

\rightarrow \frac{-12}{-40} = \frac{12}{40}

Reducing to lowest terms we get,

\rightarrow \frac{12}{40} = \frac{3}{10}

In decimal form we get,

\rightarrow \frac{3}{10} = 0.3

Thus solution to given expression is 0.3

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A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.

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A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.

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