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
Please help! how do i know if it’s sin, cos, or tan if they’ve already given me all three numbers ?
zysi [14]

Answer:

Here you can use any!

sin x = 64/80

cos x = 48/80

tan x = 64/48

5 0
2 years ago
What is the question?
max2010maxim [7]

Answer:

(23, 4)

Step-by-step explanation:

If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.

Step 1: Rewrite 2nd equation

x = 5y + 3

Step 2: Substitution

2(5y + 3) - 5y = 26

Step 3: Distribute

10y + 6 - 5y = 26

Step 4: Combine like terms

5y + 6 = 26

Step 5: Isolate <em>y</em>

5y = 20

y = 4

Step 6: Find <em>x</em>

x - 5(4) = 3

x - 20 = 3

x = 23

And we have our final answer!

7 0
3 years ago
Read 2 more answers
It costs $2.57 to buy a box of crackers. Which of the following equation shows the amount of money needed, x, to buy m boxes of
liraira [26]
The answer will be B. X= 2.57m. Hope it help!
8 0
3 years ago
What is the median of those in the the picture please help
Molodets [167]

Answer:

Median is 24.5

Step-by-step explanation:

Median is the middle number in a set of numbers. If we have two middle numbers, we get the average. And from the question, listing them out, we have this

0,1, 2, 3,4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49.

The middle number here is 24 and 25. Getting their average will be 24.5

5 0
3 years ago
I WILL GIVE BRAINIEST
Anit [1.1K]

Answer:

10 hours, 30 minutes.

Step-by-step explanation:

Distance ÷ Speed = Time

525 ÷ 50 = 10.5

7 0
3 years ago
Other questions:
  • Which expression correctly represents the product 12(8 + 5) after applying the distributive property?
    6·2 answers
  • One-eleventh of all sales at Joe's Diner are for cash. If cash sales for the week were $380, what were Joe's total sales?
    15·1 answer
  • A box can hold 4 books how many books can 5 boxes hold
    11·2 answers
  • Which undefined terms are needed to define a line segment?
    9·2 answers
  • Solve the equation.Find the product of each sum and difference. (2c + 8)(2c – 8)
    7·2 answers
  • A rectangle has a height of 3 and a width of 2x^2+3x-5 express the area of the rectangle
    6·1 answer
  • My little cuz need help can you help her please
    12·2 answers
  • Write out the following decimal <br>300+.10+0.004​
    13·1 answer
  • Find the volume of a rectangular prism with a length of 13.4 ft, a width of 10.3 ft and
    11·2 answers
  • I want pictures of how you did it on paper! please please please help me
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!