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sergij07 [2.7K]
3 years ago
12

I need help on ratio of x-coordinates and ratio of y-coordinates

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

Ratio of x-coordinates:

\frac{-1}{-2}=\frac{1}{2}

\frac{2}{4}=\frac{1}{2}

\frac{2}{4}=\frac{1}{2}

\frac{-2}{-4}=\frac{1}{2}

Ration of y-coordinates:

\frac{2.5}{5}=\frac{1}{2}

\frac{1}{2}=\frac{1}{2}

\frac{-2}{-4}=\frac{1}{2}

\frac{-2}{-4}=\frac{1}{2}

Step-by-step explanation:

The table is asking for the ratio of x-coordinates for each point (A, B, C and D) for both the image and pre-image.  The ratio is the image 'x' or 'y' value ÷ the pre-image 'x' or 'y' value.  Each ratio should be expressed in simplest form and should show the same pattern of dilation, or same scale factor.  In this case, the second figure is 1/2 the size of the original figure.  

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2,               7.3

3,               8.7

4,               10.1

The rate of change of height, H per week, t,\left (\dfrac{dH}{dt} \right )  for plant B per week is given as follows;

\dfrac{dH}{dt} =  \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{10.1 - 7.3 }{4 - 2} = \dfrac{2.8}{2} = 1.4 \ inches/week

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