Mathematics: I need help.................................

I need help................................. - id6964664, Schoolworkspace453

alialbinn6969

29.01.2022

Option (C)

Step-by-step explanation:

AB and BC are perpendicular to each other at point B.

Ordered pairs representing points A and B are (-3, -1) and (4, 4)

Slope of AB, $(m_1) = \frac{y_2-y_1}{x_2-x_1}$

$=\frac{(4+1)}{4+3}$

$=\frac{5}{7}$

Let the slope of perpendicular line BC = m_2

By the property of perpendicular lines,

$m_1\times m_2=-1$

$\frac{5}{7}\times m_2=-1$

$m_2=-\frac{7}{5}$

Equation of line BC → y - y' = m₂(x - x')

$y-4=(-\frac{7}{5})(x-4)$

y = $-\frac{7}{5}x+\frac{28}{5}+4$

5y = -7x + 28 + 20

7x + 5y = 48

-7x - 5y = -48

Option (C) will be the answer.

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tammydbrooks43

16.01.2022

The length of the original rectangle is = 8.4 cm

The width of the original rectangle is = 5.3 cm

Now we have been given that, the rectangle is enlarged by a scale factor of 4 which means both the dimensions are multiplied by 4 times.

So, new length of the rectangle is = $8.4\times4=33.6$ cm

New width of the rectangle is = $5.3\times4=21.2$ cm

Hence, the dimensions of the enlarged rectangle are 33.6 cm by 21.2 cm.

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