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2 years ago

Is it 3/20 or 15, not sure?? it said simplest form let me know please, only correct answers.

Mathematics

2 answers:

aksik [14]2 years ago

8 0

Answer:

3/20 it's looking for fractions

Reptile [31]2 years ago

8 0

Answer:

15 or 15/1

Step-by-step explanation:

imagine there is a 1 under -6:

$- \frac{5}{2} \times - \frac{ 6}{1}$

multiply the numerator together:

-5 × -6 = 30

multiply the denominator together:

2 × 1 = 2

so the fraction is

$\frac{30}{2}$ = 15/1

so, 15/1 is equal to 15

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A. Show that the vector v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope of v is the negative

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Part A:

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Part B:

Slope of vector = $\frac{b}{a}$

Step-by-step explanation:

Condition for perpendicular is:

$m_1m_2=-1$

Part A:

Consider the vector v = ai + bj

x component of vector=a

y component of vector=b

Slope of vector= $m_1=\frac{y}{x}=\frac{b}{a}$

Consider the line ax + by = c:

Rearranging the equation:

ax+by=c

by=c-ax

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

In our case the slope of above line is:

$m_2=\frac{-a}{b}$

According to the condition of perpendicular:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector is also calculated above.

Since the slope of vector is negative reciprocal of the slope of the given line:

According to equation of line ax + by = c

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

Slope of given line=m= $\frac{-a}{b}$

negative reciprocal of the slope of the given line = $\frac{b}{a}$

Slope of vector = $\frac{b}{a}$

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