Answer:
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Step-by-step explanation:
Vectorially speaking, the dilation of a vector with respect to a given point is defined by the following formula:
[tex]P'(x,y) = O(x,y) + r\cdot [P(x,y)-O(x,y)][/tex], [tex]r > 1[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Dilated point.
[tex]r[/tex] - Scale factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]P(x,y) = (-3, 4)[/tex], [tex]Q(x,y) = (-8,3)[/tex], [tex]R(x,y) = (-1,-6)[/tex] and [tex]r = 8[/tex], then the new coordinates of the triangle are, respectively:
[tex]P'(x,y) = (0,0) + 8\cdot [(-3,4)-(0,0)][/tex]
[tex]P'(x,y) = (-24, 32)[/tex]
[tex]Q'(x,y) = (0,0) + 8\cdot [(-8,3)-(0,0)][/tex]
[tex]Q'(x,y) = (-64, 24)[/tex]
[tex]R'(x,y) = (0,0) + 8\cdot [(-1,-6)-(0,0)][/tex]
[tex]R'(x,y) = (-8,-48)[/tex]
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Answer:
(-24, 32), (-64, 24) and (-8,-48)
Step-by-step explanation:
Which triangle side lengths form a right triangle? Choose all that apply.
➪ 5, 6, 7
➪ 6, 8, 14
➪ 8, 15, 17
➪ 10, 12 15
➪ 15, 20, 15
➪ 16, 18, 20
Your answer would be C (8,15,17) and E (15,20,15) or is it 25?
Step-by-step explanation:
:)
A private jet flies the same distance in 14 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was 181mph less than 3 times the speed of the private jet, find the speed of each jet.
Answer:
Private Jet = 181 mph Commercial Jet = 362 mph
Step-by-step explanation:
private jet travels distance D in 14 hours
commercial jet travels distance D in 7 hours
so commercial jet speed is twice the private jet
y = 2x
commercial jet speed = 3 · (private jet speed) - 181 mph
y = 3x - 181
2x = 3x - 181
2x - 3x = -181
-x = -181
x = 181
y = 2x
y = 362
362 = 3(181) - 181
Can you help me with this question please
Answer:
Triangle a was reflected across the x-axis to form triangle b
Use 4 terms of the series to approximate :
[tex]from \: trapezium \: rule \\ n = 4 \\ h = \frac{(1 - ( - 5))}{4} = \frac{3}{2} \\ from \: the \: pic \: \\ approximate \: value \: is \: 5.409[/tex]
If
you had 2 angles that equal 180 degrees and you was given a angle of
55 degrees What degree is the missing angle? *
Answer:
125 degrees for 540 degrees total
Step-by-step explanation:
Answer:
125° is the missing angle.
Step-by-step explanation:
Sum of all angles in a quadrilateral is 360°.
180°+55°+X°= 360°
235° + x = 360°
x = 360°-235°= 125°
x = 125°
Find the 12th term of the geometric sequence 5, –25, 125, ...
HELP ASAP WILL NAME BRAINLEST
Step-by-step explanation:
[tex]U _{ {12}^{th} } = a {r}^{(n - 1)} \\ = 5 \times {5}^{12 - 1} \\ = 244140625 \\ {12}^{th} \: term \: is \: 244140625[/tex]
1. You are rolling a pair of dice. What's the probability of getting different numbers on both dice?
Answer:
5/6Step-by-step explanation:
Total outcomes:
6*6 = 36Outcomes with same numbers on both dice:
6Outcomes with different numbers on both dice:
36 - 6 = 30Probability of different numbers on both dice:
30/36 = 5/6Find the value of y. It’s geometry hw! plz only answer if you know how to do this. thank you
Answer:
48
Step-by-step explanation:
Imagine that all of the other angles within the circle are gone except for the angle "y".
Now kindly look at the image.
We would be left with angle y as the inscribed angle and 96° for the measure of the intercepted arc.
The relationship between intercepted arcs and inscribed angles is that the inscribed angle is equal to half the measure of the intercepted arc.
So y is equal to half of the measure of its intercepted arc. ( Which in this case has a measure of 96° )
so y = [tex]\frac{96}{2}[/tex]
96/2=48
Hence the value of y is 48
Help me find the value of x plss
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Answer:
What do we see in triangle -- adj and hyp
cosine since it is SOH CAH TOA
cos(14)/1 =x/480
Answer = 465.74 the real rounding is 466
Muhammad Ali Jinnah Story
Answer:
Muhammad Ali was one of the greatest boxers in history, the first fighter to win the world heavyweight championship on three separate occasions. In addition, he was known for his social message of black pride and black resistance to white domination and for refusing induction into the U.S. Army during the Vietnam War.His quickness and mobility was a His quickness and mobility was a revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.
Complete this table. FRACTION DECIMAL PERCENT 3. (a) 0.6 (b) (99) 4. (a) (b) 5% (99)
Answer:
for number 3 fraction is ⅗ and percentage is 60%
for number 4 the fraction is 1/20 and the decimal is 0.05
Step-by-step explanation:
hope it will help
should I show the working?
Find the geometric mean between each pair of numbers 8 and 12
Step-by-step explanation:
......................................................
The authors of a paper studied a random sample of 350 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent.
Category Description
IS Information sharing
OC Opinions and complaints
RT Random thoughts
ME Me now (what I am doing now)
O Other
The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper).
Twitter Type IS OC RT ME O
Observed count 50 61 64 102 73
Required:
Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05.
Answer:
The null hypothesis is rejected.
Step-by-step explanation:
Assuming the proportions in each of the categories is the same which is 1/5 = 0.20.
H0: p1 = p2 = p3 = p4 = p5 = 0.2
Ha: H0 is not true.
The table is as below:
Twitter Type: Observed Count p E=350*p (O-E)^2/E
IS 50 0.2 70 5.7143
OC 61 0.2 70 1.1571
RT 64 0.2 70 0.5143
ME 102 0.2 70 14.6285
O 73 0.2 70 0.1286
-----------------------------------------------------------------------------------------------
Total 22.1428
The test statistic [tex]\chi^2[/tex] is 22.1421
The degree of freedom d is n-1=5-1 =4
The corresponding p-value from the chi-squared table is .000188.
As this value is less than the p-value for the H0 thus we reject the null hypothesis.
A recipe used 1/4 cup of sugar for every 3 cups of flour. How much sugar was used for each cup of flour?
Answer:
12 cups of sugar
Step-by-step explanation:
3÷0.25=12
1/4=0.25
I’ll give points + brainalist (:
Answer:
The right answer to the question is b
Answer:
B [tex]x \leq 1[/tex]
Step-by-step explanation:
Isolate the x.
[tex]-5x + 10 \geq 5\\-5x \geq -5\\x \leq 1[/tex]
The [tex]\geq[/tex] sign flipped to [tex]\leq[/tex] , because you're dividing with a negative number.
Will give the brainliest answer and 20 points to anyone who can give a complete answer and not a scam link or a joke answer or begging for points (those 3 types of answers will be reported)
Courtney and Christy both leave the coffee shop at the same time, but in opposite directions. If Christy travels 9 mph faster than Courtney and after 7 hours they are 189 miles apart, how fast is each traveling?
Courtney is traveling ___________ mph.
Christy is traveling _____________ mph.
Answer:
Courtney is travelling at 9mph
Christy is travelling at 18mph
Step-by-step explanation:
Courtney's speed = x
Christy's speed = y
Christy travels 9 mph faster than Courtney: x+9=y
Distance = speed * time
Courtney's distance after 7 hours = 7x
Christy's distance after 7 hours = 7y
After 7 hours, they're 189 miles apart:
7x+7y=189
x+y=27
x+y=27
x+x+9=27
2x=18
x=9
y=x+9
y=9+9
y=18
Help? I forgot everything about this.
In the figure shown, KN is parallel to LM.
When comparing KJN and LJM, Tara states that
Explain why Tara’s statement is correct.
Answer:
Triangle KJN is just a scaled down version of triangle LJM, so the angles are the same.
Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
From the given figure, KN is parallel to LM.
Here, ∠KJN = ∠LJM (Reflexive property)
Hence, Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ2
One coin is flipped six times. What is the probability of flipping two heads and four tails?
Answer:
1/6 x 1/6 = 1/36
1/36 is our probability of getting two heads and four tails.
PLEASE HELP ASAP I NEED THIS HW IN A HOUR! I MARK BRAINLIEST! Which data set could be represented by the box plot shown below?
Answer:
B is correct.
Step-by-step explanation:
the median must be 69. only in B the median is 69.
The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle
Answer:
The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle
31.416
Step-by-step explanation:
The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle
2 times Pi (3.14) times the radius (5)
Answer:
31.416
Step-by-step explanation:
2 times Pi (3.14) times the radius (5)
I've been asking since yesterday :(
Candace is designing a rectangular garden. The garden's diagonal must be 37.7 feet, and the ratio between the garden's base and height must be 12:5. Find the length of the garden's base and height. The garden's base is feet and its height is
Answer:
Step-by-step explanation:
let the base=12x
and height=5x
(12x)²+(5x)²=37.7²
144x²+25x²=37.7²
169x²=37.7²
(13x)²=37.7²
13x=37.7
x=37.7/13=2.9
base=12×2.9=34.8 ft
height=5×2.9=14.5 ft
Every hour of training raises the salary $ _____.
Answer:
salary increases by $ 10 every hour
Help out plsss ......
Answer: 5 hours will take two days.
Step-by-step explanation:
People dont matter here. but what does is hours. 2 hrs a day = 5 days
3hrs a day = 4 days, 4 hrs a day = 3 days, 5hrs = 2 days.
When hrs a day go up 1 the amount of days is reduced at a rate of 1. It's about finding the rate of change. So our rate of change was +1 hour = -1 day.
2,5
3,4
4,3
5,2
A right cylinder has a radius of 3 and a height of 12. What is its surface area? O A. 72 units O B. 90 units O c. 45rt units O D. 108r units
Answer:
[tex]A=72\pi\ units^2[/tex]
Step-by-step explanation:
Given that,
The radius of the cylinder, r = 3
Height of the cylinder, h = 12
We need to find the surface area of the cylinder. The formula for the surface area of a cylindrical object is given by :
[tex]A=2\pi rh\\\\=2\times \pi\times 3\times 12\\\\=72\pi\ units^2[/tex]
So, the surface area of the cylinder is equal to [tex]72\pi\ units^2[/tex].
Which statement about the linear factors and zeros of a quadratic function is always
true?
A. The constants of the linear factors are the opposite of the function's zeros.
B. A function's zeros can be determined by setting each linear factor equal to 0 and
solving.
C. If a function's zero is an integer, then the coefficient of the variable in the linear factor
must be one.
D. Multiplying the constants of the linear factors gives one of the function's zeros, and
adding the constants gives the other zero.
What is the perimeter of the triangle. Please look at photo. I need you help. Thank you in advance♡
Solve for x.
-1/5(x-4)= -2
Answer:
14
Step-by-step explanation:
Steps shown in the image
HELPP FAST PLEASEEEE
Answer:
30%
Step-by-step explanation:
because I have answered this one and for it right
The diagram shows the floor plan of a hotel lobby. The carpet that she wants to buy for that floor costs $3 per square foot. How much will it cost to carpet the lobby?
Answer: $ 1 710
Step-by-step explanation:
Area of parallelogram = base x height = 27 x 20 = 540ft2
Area of triagne = 1/2 x base x height = 1/2 x 3 x 20 = 30ft2
total = 540 + 30 = 570ft2
570 ft2 x $3 = $1 710
Which side of XYZ is the longest? A. WY B. XZ C. YZ D. Cannot be determined
Answer:
B
Step-by-step explanation:
In a triangle the longest side is opposite the largest angle.
∠ Y = 180° - (60 + 43)° = 180° - 103° = 77°
∠ Y is the largest angle in the triangle, then the side opposite is the longest
That is XZ is the longest side → B
