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
givi [52]
3 years ago
14

What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?

Mathematics
2 answers:
olchik [2.2K]3 years ago
3 0

Option A: \frac{1}{3} is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}

Also,

\begin{aligned}A C &=\sqrt{(-12+21)^{2}+(9-18)^{2}} \\&=\sqrt{9^{2}+(-9)^{2}} \\&=\sqrt{81+81} \\&=\sqrt{162}\\&=9\sqrt{2} \end{aligned}

Dividing A'C' by AC, we have,

\frac{A'C'}{AC} =\frac{3\sqrt{2} }{9\sqrt{2}} =\frac{1}{3}

Thus, \frac{1}{3} is the dilation factor

Digiron [165]3 years ago
3 0

Answer: One-third

Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!

You might be interested in
The expression a÷ 4 is equal to __- for a = 2.6.
Arisa [49]
Oh yeah I have to get to the church ⛪️
5 0
3 years ago
Please try to help ASAP, thanks so much!!
ehidna [41]
kids surf the internet for 35-60 minutes per day, the average is 52
4 0
3 years ago
Read 2 more answers
Emma had 10 Balls in a bag. The balls were numbers 1 through 10. She wanted to test the probability of drawing a ball that is a
Goryan [66]

Answer:

  • 30%
  • Unlikely

Step-by-step explanation:

<u>The balls - multiples of 3 are:</u>

  • 3, 6 and 9

<u>The probability of a multiple of 3 is:</u>

  • 3 out of 10 or
  • P = 3/10 = 30%

30% probability is in the range 0%-50% so this event is unlikely

5 0
3 years ago
Read 2 more answers
Help me, Thanks!!
Marrrta [24]

2.) dT/dt = -t^2 + 3t

dT = (-t^2 + 3t)dt

T = -t^3/3 + 3t^2/2 + C

at 4:00 AM

80 = -4^3/3 + 3*4^2/2 + C

C = 80 + 4^3/3 - 3*4^2/2

C = 77.33

T = -t^3/3 + 3t^2/2 + 77.33

at 8:00 AM

T = -8^3/3 + 3*8^2/2 + 77.33

T = 2.67 deg

5 0
3 years ago
The maximum number of students in a classroom is 26. if there are 16 students sign up for the art class,how many more students c
Marizza181 [45]
Maximum 12 fr longgg
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the product of 3.39 and 10(2)
    9·1 answer
  • Find the center and radius of the circle whose equation is given below: x2 + (y − 3)2 = 16.
    8·1 answer
  • Need help fast i'll give the brainiest to who ever is right! tell me where to but the dots
    6·1 answer
  • There is an ice cream and candy shop next-door that is the same size as your bakery. How many 30th of the space does it take up
    6·1 answer
  • 7,896,123.5 place value of 7
    15·1 answer
  • A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boa
    6·1 answer
  • Suki named a fraction that was not a multiple of. Which fraction could she have
    12·1 answer
  • Please Help!! I will give brainliest<br><br> The question is attached below
    7·1 answer
  • Find the value of x and y <br> (5y-23) <br> (2x+13)<br> (3x)<br> 47
    15·1 answer
  • Find the area. Use 3.14 for the value of pi . Round your answer to the nearest tenth.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!