Is the enlargement or a reduction? Find the scale factor of the dilation. Explain

Mathematics

1 answer:

malfutka [58]2 years ago

4 0

Good evening ,

Answer:

In this case the dilation is a reduction (as you can see the image triangle is smaller than the original triangle)

and also the scale factor = OA’/OA = 2/6 = 1/3

since -1 < 1/3 < 1 then it’s a reduction.

Step-by-step explanation:

Look at the photo below for more details (notice OA’ and OA).

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Solve log base 6 (x-6) - log base 6 (x + 4) = 2

Ray Of Light [21]

Answer:

no solutions

Step-by-step explanation:

Since the two terms have the same base, we are able to use the rule for subtracting logarithms:

$log_{b}(x) - log_{b}(y) = log_{b}(\frac{x}{y} )$

Therefore, the equation can be written as:

$log_{6}(\frac{x-6}{x+4} )=2$

By using the definition of a logarithm we can say that:

$\frac{x-6}{x+4} = 6^{2}\\\frac{x-6}{x+4} = 36\\x -6 = 36x+144\\35x = -150\\x =-\frac{30}{7}$

When plugging this solution in, you find that the term $log_{6}(x-6)$ has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so $-\frac{30}{7}$ is not a valid solution. This means that there are no solutions.

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1 year ago

If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pa

tamaranim1 [39]

Answer:

$76.5

Step-by-step explanation:

We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.

An inflation of 2% will increase the price of pair of jeans by 2%, so price of pair of jeans this year would be $75 plus 2% of $75.

$\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}$