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
irakobra [83]
3 years ago
15

Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 t

o form triangle P″Q″R″. If vertex P is at (3, -4) and vertex Q is at (5, -1), what are the coordinates of vertices P″ and Q″?
A. P″(4.5, -6) and Q″(7.5, 1.5)

B. P″(4.5, -6) and Q″(7.5, -1.5)

C. P″(-9, 12) and Q″(15, -3)

D. P″(9, -12) and Q″(15, -3)

E. P"(-9, -12) and Q"(-15, -3)
Mathematics
2 answers:
gladu [14]3 years ago
8 0

Answer:  The correct option is (D) P″(9, -12) and Q″(15, -3).

Step-by-step explanation:  Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.

The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.

We are to find the co-ordinates of the vertices P″ and Q″.

Case I :  ΔPQR dilated to ΔP'Q'R'

The co-ordinates of P' and Q' are given by

Case II :  ΔP'Q'R' dilated to ΔP''Q''R''

The co-ordinates of P'' and Q'' are given by

Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).

Option (D) is CORRECT.

Lynna [10]3 years ago
5 0
If you want to make it easier, just skip it and dilate by 3 instead of by 1.5 and then by 2. The only reason I can instantly assume it's D, it's because on vertex P, (3, -4) is (9,-12), the only answer with +9.
You might be interested in
Which graph shows the solution to the inequality Negative 3 x minus 7 less-than 20
mart [117]

Answer:

qw567

Step-by-step explanation:

8 0
3 years ago
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
dimaraw [331]

Answer:

4

Step-by-step explanation:

g(x) is the graph of f(x) shifted up 4 units.

5 0
1 year ago
Tania took selfies with her 8 cousins. Each cousins is in 2 or 3 picture. There are exactly 5 cousins on each picture. How many
andreev551 [17]

Answer:

4

Step-by-step explanation:

How many selfies did Tania take? (my first answer would be too many, but that's probably not the answer you're looking for :-) )

We know that each cousin appear 2 or 3 times overall.

If she would have taken each cousin exactly 2 times, that would be 16 cousins/photos

If she would have taken each cousin exactly 3 times, that would be 24 cousins/photos

We know there's exactly 5 cousins per photo...

so we have to find a multiple of 5 cousins/photos that is between 16 and 24.

The only possibility is 20 cousins/photos.  20 / 5 = 4 photos.

8 0
3 years ago
For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to x = 12
notsponge [240]
The binomial distribution is given by, 
P(X=x) =  (^{n}C_{x})p^{x} q^{n-x}
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) = (^{100}C_{x})(0.2)^{x} (0.8)^{100-x}
                    where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12                  
∴ P(X≤12) = (^{100}C_{0})(0.2)^{0} (0.8)^{100-0} + (^{100}C_{1})(0.2)^{1} (0.8)^{100-1} + (^{100}C_{2})(0.2)^{2} (0.8)^{100-2} + (^{100}C_{3})(0.2)^{3} (0.8)^{100-3} + (^{100}C_{4})(0.2)^{4} (0.8)^{100-4} + (^{100}C_{5})(0.2)^{5} (0.8)^{100-5} + (^{100}C_{6})(0.2)^{6} (0.8)^{100-6} + (^{100}C_{7})(0.2)^{7} (0.8)^{100-7} + (^{100}C_{8})(0.2)^{8} (0.8)^{100-8} + (^{100}C_{9})(0.2)^{9} (0.8)^{100-9} + (^{100}C_{10})(0.2)^{10} (0.8)^{100-10} + (^{100}C_{11})(0.2)^{11} (0.8)^{100-11} + (^{100}C_{12})(0.2)^{12} (0.8)^{100-12}


Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability. 
7 0
3 years ago
A professional volleyball player can jump an average of 2.5 times higher than the average person. If an an average person can ju
lions [1.4K]
First of all, we know that a professional volleyball player can jump an average of 2.5 times higher than the average person which means that the player could jumps 2.5 times higher than the normal do. For example, if the normal people jumps 3 inches height, the professional player could jumps 2.5(3)=7.5 inches height. In this case, if an an average person can jump 2x inches high which leads to that the professional player could jumps 2.5(2x) higher. As a result, C is your final answer. Hope it help!
5 0
3 years ago
Other questions:
  • The temperature decreased from 71.5*F to 56.8*F overnight. How much did the temperature drop?
    5·2 answers
  • A train covers 168 miles at a speed of 42 mph. How much time dod it take?
    5·1 answer
  • What value of s makes the statement true? (–7 + s) + (–14) = (12 + (–7)) + (–14)
    12·1 answer
  • Evaluate each logarithm. Do not use a calculator. Log (125)(1/25)
    7·1 answer
  • Please help it’s due in 10 minutes!!!
    13·1 answer
  • Whats the solution ​
    7·1 answer
  • W+w+w+6/3+4(-3/4w+7)=9w-(3w-10)<br> What is w?
    15·1 answer
  • What is the factored form of 3x+24y?
    5·2 answers
  • 1-2
    9·1 answer
  • What is a math problem that solves for 6????
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!