All categories

3 years ago

PLEASE ANSWER I AM ON A TIMED TEST

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

4 0

I think is c if is right can u mark me brainless please

You might be interested in

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

Someone help please

Nadya [2.5K]

The answer is letter C. Hope I helped.

8 0

3 years ago

Las Vegas, Nevada and Phoenix, Arizona are 290 miles apart. If it takes a driver 4.5 hours to drive from Las Vegas to Phoenix, w

Furkat [3]

Answer:

64.4 miles per hour

Step-by-step explanation:

divide the amount of miles by the amount of hours to get miles per hour

5 0

4 years ago

Solve the following equation.Please show your work.<br><br>7x-(3x+10)=-46

m_a_m_a [10]

First, you have to distribute the -1 throughout the parentheses, which gives you 7x-3x-10=-46.

Then, you combine 7x and -3x, which gives you 4x-10=-46.

Then, you add 10 to both sides of the equation, which gives you 4x=-36.

FInally, you divide both sides of the equation by 4, which gives you x=-9.

4 0

3 years ago

Read 2 more answers

Need help ASAP!!!!!!

ki77a [65]

Answer:

D) The function is always decreasing

Step-by-step explanation:

As you move along the x axis, the x value approaches: a) negative infinity when x < 0 and b) 0 when x > 0

8 0

3 years ago