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dybincka [34]
3 years ago
8

Expand the logarithm. log (y/5)2

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer: 2 log y - log 25

<u>Step-by-step explanation:</u>

Notes: Division expands to subtraction.  Exponent expands to multiplication.

log\bigg(\dfrac{y}{5}\bigg)^2\\\\\\=log\bigg(\dfrac{y^2}{5^2}\bigg)\\\\\\=log(y^2)-log(5^2)\\\\\\=\large\boxed{2log(y)-log(25)}

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15pts please help asap<br> 2.5 as an improper fraction?
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6 0
3 years ago
3 times 2 cubed + 5 squared-18 divided by 6
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Answer:

46

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Theorem: A line parallel to one side of a triangle divides the other two proportionately.
Kisachek [45]

Answer:

Segment BF = 16

Step-by-step explanation:

The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately

The given theorem is the Triangle Proportionality Theorem

According to the theorem, given that segment DE is parallel to segment BC, we have;

\dfrac{AD}{BD} = \dfrac{AE}{EC}

Therefore;

BD = \dfrac{AD}{\left(\dfrac{AE}{EC} \right) }  = AD \times \dfrac{EC}{AE}

Which gives;

BD = 6 \times \dfrac{18}{12}= 9

Similarly, given that EF is parallel to AB, we get;

\dfrac{AE}{EC} = \dfrac{BF}{FC}

Therefore;

BF = FC \times \dfrac{AE}{EC}

Which gives;

BF = 24 \times \dfrac{12}{18} = 16

Therefore, the statement that can be proved using the given theorem is segment BF = 16.

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