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3 years ago

HEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Mathematics

1 answer:

Bingel [31]3 years ago

8 0

2(2/5+1/5)=2•3/5=6/5=1 1/5
Answer is C

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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

pishuonlain [190]

Answer:

Part A:

$m_1m_2=-1$

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

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

Part B:

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

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 = $\frac{b}{a}$

5 0

3 years ago

What is the inverse function of d(x ) = -2x - 6?<br> DO NOT answer if you're not sure

rjkz [21]

First make the equation equal y

Y=-2x-6

Then rearrange to make x the subject

2x=-y-6

X=(-y-6)/2

Then change the y's to x's

Inverse=(-x-6)/2

7 0

3 years ago

Quadrilateral ABCD is inscribed in this circle.

Lana71 [14]

(6x+19)° + x° = 180°
7x° = 180°-19°
7x° = 161°
x = 23°

m∠B = 6(23) + 19
= 157°

3 0

3 years ago

Read 2 more answers

Please help! i also have to show work, so please make it as clear as possible :)

Yanka [14]

Answer:

Check below or above

Step-by-step explanation:y

8 0

2 years ago

Florences monthly take home pay is $5000 and her monthly rent is $900. If both her monthly and take home lay and her rent increa

max2010maxim [7]

If 5000 gets increased by 200, then you end up with 5200.

if 900 gets increased by 200, then it'd be 1100.

so in short, if we take 5200 to be the 100%, what is 1100 in percentage from it?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
5200&100\\
1100&p
\end{array}\implies \cfrac{5200}{1100}=\cfrac{100}{p}\implies p=\cfrac{1100\cdot 100}{5200}$

5 0

3 years ago