What is true about the dilation?

Mathematics

1 answer:

JulijaS [17]3 years ago

4 0

Either the first or the third choice is correct. We can't tell which one without seeing the rest of the words ... the ones that are cut out of the picture.

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What is the equation of the line that is paralle to y=3x-8 and passes thur the point (4,-5)

Brrunno [24]

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Answer:

The equation is-: y=3x

Step-by-step explanation:

$\large\displaystyle\text{$\begin{gathered} \sf{Substitute \ the \ values \ into \ the \ formula \ y-y_1=m(x-x_1)} \\ \sf {parallel \ lines \ have \ same \ slopes, \ thus} \\ \sf{slope \ of \ the \ 2nd \ line = 3}\\ \sf{now \ substitute \ the \ values} \\ \sf {y-(-5)=3(x-4)}\\ \sf{y+5=3(x-4) (It's \ Point-Slope\;Form, \ see \ below \ for \ slope-intercept)}\\ \sf {y+5=3x-12} \\ \sf{y=3x-12-5} \\ \sf{y-3x-17} \end{gathered}$}}$

$\pmb{\tt{done \ !!}}$

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4 0

2 years ago

There are 5 different coloured cups in a row.

Marizza181 [45]

There are 12 possible arrangements.

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Considering that the blue cup has to be on one end, we consider the number of arrangements possible with the other 4 cups, then multiply by 2(considering the blue on each end).

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Considering green and yellow before red and purple, there are $2 \times 2 = 4$ outcomes(G-Y-R-P, G-Y-P-R, Y-G-R-P and Y-G-P-R).
Another two possible outcomes are yellow-purple and green-red, or vice-versa, thus 4 + 2 = 6 outcomes.
To account for the blue on the end, multiplying by 2. $2 \times 6 = 12$
There are 12 possible arrangements.