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Slav-nsk [51]
3 years ago
7

The image of (6. – 9) after a dilation with respect to the origin is (4,-6). What is the scale factor

Mathematics
1 answer:
qaws [65]3 years ago
3 0

Answer:2/3 or .666666

Step-by-step explanation:

The dilation is a contraction

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12,789

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Point A is located at (5, 10) and point B is located at (20, 25).
Alla [95]
Let's say the point is C, so C partitions AB into two pieces, where AC is at a ratio of 3 and CB is at  a ratio of 7, thus 3:7,

\bf \left. \qquad  \right.\textit{internal division of a line segment}
\\\\\\
A(5,10)\qquad B(20,25)\qquad
\qquad 3:7
\\\\\\
\cfrac{AC}{CB} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(5,10)=3(20,25)\\\\
-------------------------------\\\\
{ C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\
-------------------------------

\bf C=\left(\cfrac{(7\cdot 5)+(3\cdot 20)}{3+7}\quad ,\quad \cfrac{(7\cdot 10)+(3\cdot 25)}{3+7}\right)
\\\\\\
C=\left( \cfrac{35+60}{10}~~,~~\cfrac{70+75}{10} \right)\implies C=\left(\cfrac{95}{10}~~,~~\cfrac{145}{10}  \right)
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C=\left( \cfrac{19}{2}~~,~~\cfrac{29}{2} \right)\implies C=\left( 9\frac{1}{2}~~,~~14\frac{1}{2}  \right)
8 0
3 years ago
The number of people attending the first basketball game of the season was 840. The number of people attending the last game of
melamori03 [73]

Answer:

Step-by-step explanation:

percent increase = (new number - original number) / (original number) * 100

                             = (1200 - 840) / (840) * 100

                             = (360) / 840 * 100

                              = 0.4285 * 100

                              = 42.85% rounded to nearest percent = 43% <==

5 0
3 years ago
find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times
Vlad1618 [11]

Answer:

DANG some of these questions are from like 2017 and still havent been answerd

Step-by-step explanation:

7 0
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