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
lora16 [44]
3 years ago
8

The image of a triangle after it has been dilated with a center at the origin has vertices at A’(-12,6) B’(6,-18) and C’ if the

pre-image of A ‘Point Ahas coordinates of (-18,9) and the pre- image of C point C has coordinates of (18,12) which statements are true ? Check All that apply •The coordinates of C are (27,18) •the coordinates for C are (12,8) •the scale factor is 1.5 •the scale factor is 0.75 •the scale factor is 2/3 •the coordinates of B are (9,-27) •the coordinates of B are (4,-12)
Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
7 0

Answer:

  • scale factor is 2/3.
  • coordinates of B are (9,-27).
  • coordinates of C' are : (12,18)

Step-by-step explanation:

The image of a triangle after it has been dilated with a center at the origin has vertices at A’(-12,6) B’(6,-18) and C’ .

Point A has coordinates of (-18,9) and the pre- image of C' point C has coordinates of (18,12).

Clearly when we compare point A and point A' we see that the transformation is a dilation.

let the scale factor of dilation is 'k'.

i.e. A→ A'

i.e. k(-18,9)=(-12,6)

(-18k,9k)=(-12,6)

i.e. -18k=-12

and 9k=6

Hence, on solving we get:

k=2/3

i.e. the scale factor is 2/3.

Also,

we find the coordinates of B(c,d) by:

2/3(c,d)=(6,-18)  since B→ B'

2/3×c=6

Hence c=9

and 2/3 ×d=-18

d=-27.

Hence, the coordinates of B are (9,-27).

Also the coordinates of C are (18,12)

Hence, coordinates of C' are:

(\dfrac{2}{3}\times 18,\dfrac{3}{2}\times 12)\\\\=(12,18)

Hence, the coordinates of C' are : (12,18)

Nesterboy [21]3 years ago
4 0

Answer:

scale factor is 2/3.

coordinates of B are (9,-27).

coordinates of C' are : (12,8)

You might be interested in
What is this?!?!!? it makes no senss
12345 [234]

Answer:

if a varible is by itself with no key it would mean a 1 but this would most likely mean multiplication although there is no parenthesies my awnser would be 6!

Step-by-step explanation:

but that would be the same as the question.

5 0
2 years ago
Which of the following phrases are inequalities?
suter [353]

Answer:

B, C D

Step-by-step explanation:

Inequalities are the "alligators"  <   or >  or the "alligators" with lines  ≤  or ≥

<  less than

>greater than

≤  less than or equal to

≥  greater than or equal to

7 0
3 years ago
Read 2 more answers
If a member variable is declared , all objects of that class share that variable. A(n) function is not a member of a class, but
Tcecarenko [31]

Answer:

a shs s s s ss bsbsbsbs s s s s s s s s s s s s s

5 0
3 years ago
What’s 2x+y=4 in slope intercept form
PIT_PIT [208]
Y = - 2x + 4

sjnddkmcdkcndkcmsknckdmckdndk
8 0
3 years ago
Read 2 more answers
Find all solutions to the equation. cos^2x + 2 cos x + 1 = 0
Black_prince [1.1K]

Answer:

x = pi, 3pi, 5pi  etc

x = -pi, -3pi, -5pi etc

Step-by-step explanation:

cos^2 x + 2 cos x + 1 = 0

replace cos x with m

m^2 + 2m +1 = 0

solve by factoring  (this is a^2 +2ab+b^2 = (a+b)^2  where a =m and b=1)

(m+1)^2=0

take the square root of each side

m+1 =0

m=-1

now replace m with cos x

cos x = -1

take arccos  of each side

arccos cos x = arccos (-1)

x = pi, 3pi, 5pi  etc


3 0
3 years ago
Other questions:
  • . He has $75 in his checking account and has already spent $53.86 on food. Which inequality represents how much Jeremy has left
    10·1 answer
  • Solve the inequality 4(n-3)- 6 &gt; 18
    5·2 answers
  • Which strategies can be used to solve this problem?
    7·1 answer
  • 51. Jonathan is selling vintage albums to a rare music
    10·1 answer
  • I want to wrap an oatmeal container. It is round with two round bases. How much paper would I need to
    13·1 answer
  • A town has a population of 5000 and grows at 4% every year. What will be the population after 7 years, to the nearest whole numb
    13·2 answers
  • Suppose you have two hyperbolas that are the same except that the transverse axis and conjugate axis are switched. How does swit
    5·1 answer
  • B. Suppose Q is the midpoint of PR. What is the<br> justification for the statement that PQ = QR?
    15·1 answer
  • Write an equation that represents the distance d and Miles traveled by the monarch butterfly and t days
    5·1 answer
  • Which number represents a repeating decimal?<br> 1/6, 25%, 0.5020202
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!