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notka56 [123]
3 years ago
6

(05.02 MC)

Mathematics
1 answer:
Anon25 [30]3 years ago
8 0

Option C:

It is  \frac{1}{3} throughout the line.

Solution:

Point on the larger shaded triangle are (0, 0) and (–6, –2).  

Point on the smaller shaded triangle are (–6, –2) and (–9, –3).

Slope of the line:

 $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Slope of the larger triangle:

Here,  x_{1}=0, y_{1}=0, x_{2}=-6, y_{2}=-2

 $m=\frac{-2-0}{-6-0}

 $m=\frac{-2}{-6}

 $m=\frac{1}{3}  

Slope of the smaller triangle:

Here,  x_{1}=-6, y_{1}=-2, x_{2}=-9, y_{2}=-3

 $m=\frac{-3-(-2)}{-9-(-6)}

 $m=\frac{-3+2}{-9+6}

 $m=\frac{-1}{-3}

 $m=\frac{1}{3}

Both slopes are equal.

It is  \frac{1}{3} throughout the line.

Hence option B is the correct answer.

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u'(0)=y'(0)\\u'(0)=2

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