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
Basile [38]
3 years ago
15

If a point ,located at (3,-2),is rotated clockwise 90 about the origin,what are the coordinates of its image ’?

Mathematics
1 answer:
azamat3 years ago
3 0

Answer:

(-2, -3)

Step-by-step explanation:

90° clockwise rotation:

(x, y) -----> (y, -x)

Let's apply this to our coordinates:

(x, y) -----> (y, -x)

(3, -2) -----> (-2, -3)

Simply make the old y-coordinate the new x-coordinate, and make the old x-coordinate negative and make the new y-coordinate.

Therefore, the coordinate of the new point is (-2, -3).

You might be interested in
Help me show work please<br>​
GREYUIT [131]
Angle 4 would also be 135. the two on the top would add to 180, making a whole circle altogether that equals 360. so, you would do 180-135 = 45. angle 5 is 45. angle 7 would also be 135 because angle 4 and 7 are vertical angles.
5 0
3 years ago
A coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces. A random sample of 15 co
Luda [366]

Answer:

We conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

Step-by-step explanation:

We are given that a coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces.

A random sample of 15 containers were weighed and the mean weight was 31.8 ounces with a sample standard deviation of 0.48 ounces.

Let \mu = <u><em>mean weight of coffee in its containers.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq 32 ounces     {means that the mean weight of coffee in its containers is at least 32 ounces}

Alternate Hypothesis, H_A : \mu < 32 ounces      {means that the mean weight of coffee in its containers is less than 32 ounces}

The test statistics that would be used here <u>One-sample t-test statistics</u> as we don't know about population standard deviation;

                             T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean weight = 31.8 ounces

             s = sample standard deviation = 0.48 ounces

             n = sample of containers = 15

So, <u><em>the test statistics</em></u>  =  \frac{31.8 -32}{\frac{0.48}{\sqrt{15} } }  ~ t_1_4  

                                      =  -1.614

The value of t test statistics is -1.614.

<u>Now, at 0.01 significance level the t table gives critical value of -2.624 at 14 degree of freedom for left-tailed test.</u>

Since our test statistic is more than the critical value of t as -1.614 > -2.624, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

8 0
3 years ago
yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson h
algol [13]

Answer:

30-2x

Step-by-step explanation:

yuson has to finish am total of 30 hours in community service

she does 2 hours each day

in x days, hour of service done=2x

after x days hours of service left=30-2x

therefore the linear equation representing the hours yuson has left after x days is:

30-2x

6 0
3 years ago
Tim's company offers a reimbursement package of $0.65 per mile plus $145
zalisa [80]

Answer:

C = 0.65x + 145

Step-by-step explanation:

Assume:

Number of miles = x

Annual maintenance = $145

Total reimbursement = C = $0.65*x + $145 = $0.65x + $145

4 0
3 years ago
Use the figure to find the measure of angle 1. *
QveST [7]

Answer:  angle 1 = 110 degrees

This is because angle 1 and the red 110 degree angle are corresponding angles.

They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)

Corresponding angles are congruent only when we have parallel lines like this.

6 0
3 years ago
Other questions:
  • What is the remainder when 1408 is divided by 9
    6·1 answer
  • Louie ascended 6.75 miles up a mountain. Then he descended 3.4 miles down the mountain. What is Louie's location compared to his
    14·2 answers
  • Answer please have 20 questions? will give the brilest.
    6·1 answer
  • Factor completely 4x^4− 20x^3 + 12x^2
    9·1 answer
  • Can I get some help please?
    9·1 answer
  • In a scale drawing of a statue the scale is 1 in. = 1 foot. If the scale drawing is 9 in., how tall is the statue?
    15·1 answer
  • Use the graph of f to estimate the local maximum and local minimum.
    15·1 answer
  • 1Q: i will answer your questions if mark ME Brainleist
    12·2 answers
  • A population of fish starts at 8000 and decreases by 6% per year. use an exponential function defined the population of fish in
    15·2 answers
  • 20.<br> 30a³-26a² - 36a + 8<br> (10a - 2) <br><br> i have to divide
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!