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
Sonbull [250]
3 years ago
15

The coordinates for the endpoints of LM are L (-2, -3) and M (4, 5). LM is dilated by a scale factor of ( 1/ 2) from center of d

ilation (3, -2) to form Segment L′ M′ . Which statement is not true?
The length of Segment L′ M′ is one-half the length of Segment LM .

The length of Segment L′ M′ is twice the length of Segment LM .

The slope of Segment L′ M′ is the same as the slope of Segment LM .

Segment L′ M′ is parallel to Segment LM .
Mathematics
1 answer:
taurus [48]3 years ago
3 0

Answer: This is the choice that is not true: "The length of Segment L′ M′ is twice the length of Segment LM".


Justification:


Dilataions are transformations that preserve the directions of the segments. Hence, the image of a transformation has the same shape as the pre-image but different size.


When the scale factor is less than 1 (in this case is 1/2 = 0.5) the image is shrinked as per such factor.


To find the lenghts of the image of the dilation by a scale factor of 1/2 multiply the coordinates by 1/2: (x,y) → (x/2, y/2).


That means that the length of segment  L′ M′ is one-half the length of the segment LM; hence the first option is true and the second option is false.


The resulting segments are parallel which means that their slopes are the same, so the third and fourth statements ("The slope of Segment L′ M′ is the same as the slope of Segment LM" and "Segment L′ M′ is parallel to Segment LM") are true too.




You might be interested in
If you deposit $12,500 in an account that pays 4.5% interest quarterly, what is the balance after 8 years? How much did the acco
Masja [62]

In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:

A=P(1+\frac{r}{n})^{nt}

where,

P: principal = $12,500

A: amount earnt after t years = ?

r: interest rate in decimal form = 0.045 (4.5%)

n: times at year for the compund interes = 4 (quaterly)

Replace the previous values of the parameters into the formula for A and simplify:

\begin{gathered} A=12,500(1+\frac{0.045}{4})^{4\cdot8} \\ A=12,500(1+0.01125)^{32} \\ A=12,500(1.01125)^{32} \\ A=12,500(1.430451402) \\ A\approx17,880.64 \end{gathered}

Hence, the balance after 8 years is approximately $17,880.64 in the account.

The interest earnt by the account is given by the difference between the previous result and the principal invesment:

I = $17,880.64 - $12,500 = $5,380.64

Hence, the interest earnt is $5,380.64

3 0
1 year ago
Restless Leg Syndrome and Fibromyalgia
mixas84 [53]

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.1833.

Step-by-step explanation:

Denote the events as follows:

<em>F</em> = a person with fibromyalgia

<em>R</em> = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\\\\=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=0.183333\\\\\approx 0.1833

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.1833.

6 0
3 years ago
What is the correlation coefficient with the following data points: (2,49), (45,2), (5,6)?
forsale [732]

Answer:

-0.62

Step-by-step explanation:

If you need, you can simply use a linear regression calculator! Most of them give the option to input points and calculate a equation for the line of best fit and a correlation coefficient.

Go to keisan . casio . com <--- Best example of linear regression calculator!

7 0
3 years ago
Write in slope intercept form:<br> (-4,6) slope= -3/4
Hunter-Best [27]

Answer:

Step-by-step explanation:

y= -3/4x+3

8 0
4 years ago
Read 2 more answers
(3,-5),(3,-2),(3,5),(3,8) find the slope.
crimeas [40]

Answer:

0

Step-by-step explanation:

- Plot each point on the graph corextly using (x,y).

- The line should go verticle

- Since x doesnt change, there is no slope / the line will go up and down infinate

5 0
3 years ago
Other questions:
  • Which question is a statistics question that anticipates variability?
    7·1 answer
  • List websites where you can watch anime for free without adds!!
    15·2 answers
  • Leonardo is running the 100 meter dash at his school’s track meet. After 78 meters, his right shoe falls off! He can’t stop to p
    12·2 answers
  • The faces of a triangular pyramid have a base of 5 cm and a height of 11 cm. what is the lateral area of the pyramid?
    5·1 answer
  • Evaluate the line integral by the two following methods. xy dx + x2 dy C is counterclockwise around the rectangle with vertices
    15·1 answer
  • There were 52 riders on a bus. The next bus had 25% more riders. How many riders were on the next bus?
    5·2 answers
  • Jason invests money in an account paying simple interest. He invests $160 and no money is added or removed from the investment.
    12·2 answers
  • 6y + 12x + 4y - 9x - 3x<br> Combining like terms <br> I need some help!
    12·1 answer
  • How many days will it take Yertle the Turtle to climb out of the bottom of a 15-feet deep well if he climbs up 2 1/2 feet each d
    9·1 answer
  • Marcus works at a clothing store and gets an employee discount. The price
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!