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
yuradex [85]
3 years ago
6

Graph the line with slope -1/2 passing through the point (-1,-2)

Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0

Answer:

See attachment for graph

Step-by-step explanation:

Given

m = -\frac{1}{2}

(x_1,y_1) = (-1,2)

Required

Graph the line

First, is to determine the equation of the line using:

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

So:

-\frac{1}{2} = \frac{y - 2}{x - -1}

-\frac{1}{2} = \frac{y - 2}{x +1}

\frac{-1}{2} = \frac{y - 2}{x +1}

Cross multiply:

(y -2) * 2 = -1 * (x + 1)

(y -2) * 2 = -x -1

Solve for y - 2

y -2 = -\frac{x}{2} -\frac{1}{2}

Solve for y

y  = -\frac{x}{2} -\frac{1}{2} + 2

y  = -\frac{x}{2} +\frac{-1+4}{2}

y  = -\frac{x}{2} +\frac{3}{2}

<em>The above equation will then be plotted on the graph (See attachment)</em>

You might be interested in
The original height of the leaning tower of pisa was 184.5 feet. at a distance of 140 feet from the base of the tower, the angle
NeTakaya
The answer is D. 9.1
8 0
3 years ago
Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and
Brums [2.3K]

Answer:

t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

p_v =P(t_9>10.349)=1.34x10^{-6}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

Step-by-step explanation:

1) Data given and notation      

\bar X=51.6 represent the sample mean

s=1.1 represent the standard deviation for the sample      

n=10 sample size      

\mu_o =48 represent the value that we want to test    

\alpha=0.05 represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean score is higher than 48, the system of hypothesis would be:      

Null hypothesis:\mu \geq 48      

Alternative hypothesis:\mu > 48      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

Calculate the P-value      

First we find the degrees of freedom:

df=n-1=10-1=9

Since is a one-side upper test the p value would be:      

p_v =P(t_9>10.349)=1.34x10^{-6}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.        

5 0
3 years ago
A student said we cannot subtract 1.97 from 20 because one 1.97 has two decimal digits and 20 has none do you agree with this st
Pie

Answer: We can

Step-by-step explanation: 20.00

                                         -      1.97

                                             

5 0
3 years ago
HELP QUICK choose the equation that represents the graph below
stiks02 [169]

Answer:

y= -2/3x+6

Step-by-step explanation:

so answer is C

7 0
2 years ago
Which graph represents a proportional relationship
vodomira [7]

Answer:

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A square park has an area of 1⁄16 square miles and a length of 1⁄4 mile. What is the width of the park?
    13·1 answer
  • In January, Jeff bought three rabbits. By February, the rabbit population
    14·1 answer
  • Name all of the obtuse angles that share a side with ZVON.
    9·1 answer
  • The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. What is the surface area of
    10·1 answer
  • In recent year a letter to Europe from the United States cost $0.94 to mail. A letter mailed within United States cost $0.44. Na
    15·1 answer
  • Ethan was given a gift card for a coffee shop. Each morning, Ethan uses the card to buy one cup of coffee. Each cup of coffee co
    7·1 answer
  • These data sets provide the responses of 10 students in class A and class B who were asked how many hours they slept at night.
    5·1 answer
  • I WILL MARK BRAINIEST <br> PLEASE ANSWER QUESTION 26
    15·2 answers
  • PLZZ HELP ME THIS IS A NO RETAKE QUIZ IT WOULD BE GREATLY APPRECIATED
    15·1 answer
  • If theater has 22 rows and the last row has 63 seats and the first row has 27 with the common difference of 3 how many seats are
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!