1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vesnalui [34]
1 year ago
13

For points K (-6,6) and P (-3,-2), find the following:m:| m:I m:Distance:Equation of a line 1:

Mathematics
1 answer:
atroni [7]1 year ago
4 0

From the question

We are given the points

K(-6,6),P(-3,-2)

Finding the slopre, m

Slope is calculated using

m=\frac{y_{2_{}}-y_1}{x_2-x_1}

From the given points

\begin{gathered} x_1=-6,y_1=6 \\ x_2=-3,y_2=-2 \end{gathered}

Therefore,

\begin{gathered} m=\frac{-2-6}{-3-(-6)} \\ m=\frac{-8}{-3+6} \\ m=\frac{-8}{3} \end{gathered}

Therefore, m = -8/3

The next thing is to find

\mleft\Vert m\mright?

A slope parallel to m

For parallel lines, slopes are equal

Therefore,

\mleft\Vert m=-\frac{8}{3}\mright?

Next, we are to find

\perp m

A slope perpendicular to m

For perpendicular lines, the product of the slopes = -1

Therefore

\perp m=-\frac{1}{m}

Hence,

\begin{gathered} \perp m=-\frac{1}{-\frac{8}{3}} \\ \perp m=\frac{3}{8} \end{gathered}

Therefore,

\perp m=\frac{3}{8}

Next, we are to find the distance KP

Using the formula

KP=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

This gives

\begin{gathered} KP=\sqrt[]{(-3-(-6))^2+(-2-6)^2} \\ KP=\sqrt[]{3^2+(-8)^2} \\ KP=\sqrt[]{9+64} \\ KP=\sqrt[]{73} \end{gathered}

Therefore,

\text{Distance }=\sqrt[]{73}

Next, equation of the line

The equation can be calculated using

\frac{y-y_1}{x-x_1}=m

By inserting values we have

\begin{gathered} \frac{y-6}{x-(-6)}=-\frac{8}{3} \\ \frac{y-6}{x+6}=-\frac{8}{3} \\ y-6=\frac{-8}{3}(x+6) \\ y-6=-\frac{8}{3}x-6(\frac{8}{3}) \\ y-6=-\frac{8}{3}x-16 \\ y=-\frac{8}{3}x-16+6 \\ y=-\frac{8}{3}x-10 \end{gathered}

Therefore the equation is

y=-\frac{8}{3}x-10

You might be interested in
Please help me!!!! precalc question
dangina [55]

Step-by-step explanation:

1. Ampltiude is 1

The period is

\frac{2\pi}{3}

is the period

The phase shift is 0

2. The Ampltiude is 2

The period is 2 pi

The phase shift is 1

3. The amplitude is 3

The period is 2 pi/3

The phase shift is -2

4.The amplitude is 2/3

The period is -10pi

The phase shift is 0

5. The Ampltiude is 1

The period is -2 pi

The phase shift is pi

6. The amplitude is 1/4

The period is -4pi

The phase shift is negative 2pi/3

7. The Ampltiude is 3

The period is 4

The phase shift is 8

7 0
3 years ago
the volume of Cube A is 216 cubic inches. The length of each edge in Cube B is 2 inches longer then the length of each edge in C
Arisa [49]

Answer:

I need points

Step-by-step explanation:

8 0
3 years ago
In a study of the accuracy of fast food​ drive-through orders, one restaurant had orders that were not accurate among orders obs
Evgesh-ka [11]

Answer:Null hypothesis:  

Alternative hypothesis:  

 

 

The p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

and the accuracy of the test yes is acceptable since the p value obtained is large enough to fail to reject the null hypothesis

Step-by-step explanation:

Data given and notation n  

n=367 represent the random sample taken

X=32 represent the orders that were not accurate

estimated proportion of orders that were not accurate

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

 

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

(1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

 

Statistical decision  

It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided . The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

 

So the p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

3 0
3 years ago
Find the volume of the rectangular prism?<br> Write your answer in simplest form.
AURORKA [14]
That’s the right answer
6 0
3 years ago
PLEASE HURRY, ME AND MY FRIEND NEED HELP WITH THIS QUESTION
viktelen [127]

Answer: A

Step-by-step explanation:

If he increases the amount then the less time it will take to pay the loan

3 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the are of a trapezoid
    10·1 answer
  • write the sum of the numbers as the product of their greatest common factor and another sum for 15 81
    9·1 answer
  • Given an equilateral triangle, what kind of symmetry will the figure have: point, line, plane.
    5·1 answer
  • Ken said that he is going to reduce the number of calories that he eats during the day. Ken's trainer asked him to start off sma
    5·1 answer
  • Are the ratios 14:18 and 1:3 equivalent?
    7·2 answers
  • Find the equation of the tangent line to the graph of f(a) = sec(a) at the point (0, 1).
    5·1 answer
  • PLEASEE HELPPP
    5·1 answer
  • Find the volume of the triangular prism below.
    13·1 answer
  • Calculate Mechanical Advantage To lift a crate, a pulley system exerts a force of 2,750 N. Find the mechanical advantage of the
    6·1 answer
  • if a bike race covers 120 mi over 6 days and the cyclists ride the same distance every day how many miles does each cyclist ride
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!