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
alexandr402 [8]
3 years ago
12

Triangle abc has coordinates a (3,3), b (0,0), and c (3,0). if the triangle is rotated 180 degrees about point b, what will be t

he coordinates of the images of a and c (a' and c')? write sentences describing your steps.
Mathematics
1 answer:
Leviafan [203]3 years ago
3 0

By plotting the given points in the co-ordinate plane, we observe that it forms a right angled triangle.

Now the line-segment BC is inclined at an angle of 45 degrees in the first quadrant. We are rotating that line by 180 degrees i.e. keep point B where it is and move the point A(3,3), then it will pass through the 2nd quadrant. It will still form a 45 degree angle, but in the 3rd quadrant. Therefore, the rotated point now has co-ordinates A' (-3, -3).

Now, for the line-segment BC. Again we keep point B where it is, and move point C (3,0) 180 degrees, then it will pass through the 1st and end up in the 2nd quadrant and point C will have the co-ordinates C' (-3, 0).

So, the points after rotation are A' (-3, -3) and C' (-3, 0)

You might be interested in
Miss. Joyce has $72 to spend on parking and admission to the theater.the parking will cost $10, and the mission tickets will cos
leonid [27]

Step-by-step explanation:

15.50n +10=72

15.50×4+10=72

62+10=72

6 0
3 years ago
Given a+b=7 and a–b=3, find:<br><br> 2^a*2^b
seropon [69]

Answer:

128

Step-by-step explanation:

5+2=7

5-2=3

2^5=32

2^2=4

32*4=128

Hope this helps:)

7 0
3 years ago
12 + 4x &gt; 24 or 10 - 12x &gt; 22
Wewaii [24]

Answer:

10 - 12 × > 22 Yan Yong sagot

8 0
3 years ago
if £500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years
Hoochie [10]

Answer:

£562.43

Step-by-step explanation:

£500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years

Given data

P= £500

t= 3 years

r= 4%

The expression for the compound interest is given as

A= P(1+r)^t

substitute

A= 500(1+0.04)^3

A= 500(1.04)^3

A= 500*1.124864

A= 562.432

Hence the final amount is £562.43

4 0
2 years ago
Solve for u. u+1/4=-4/5
DedPeter [7]

Answer:

u = (-21)/20

Step-by-step explanation:

Solve for u:

u + 1/4 = (-4)/5

Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u)/4 + 1/4:

(4 u)/4 + 1/4 = -4/5

(4 u)/4 + 1/4 = (4 u + 1)/4:

1/4 (4 u + 1) = -4/5

Multiply both sides of (4 u + 1)/4 = (-4)/5 by 4:

(4 (4 u + 1))/4 = (-4)/5×4

4×(-4)/5 = (4 (-4))/5:

(4 (4 u + 1))/4 = (-4×4)/5

(4 (4 u + 1))/4 = 4/4×(4 u + 1) = 4 u + 1:

4 u + 1 = (-4×4)/5

4 (-4) = -16:

4 u + 1 = (-16)/5

Subtract 1 from both sides:

4 u + (1 - 1) = (-16)/5 - 1

1 - 1 = 0:

4 u = (-16)/5 - 1

Put (-16)/5 - 1 over the common denominator 5. (-16)/5 - 1 = (-16)/5 - 5/5:

4 u = (-16)/5 - 5/5

-16/5 - 5/5 = (-16 - 5)/5:

4 u = (-16 - 5)/5

-16 - 5 = -21:

4 u = (-21)/5

Divide both sides by 4:

u = ((-21)/4)/5

5×4 = 20:

Answer:  u = (-21)/20

3 0
3 years ago
Other questions:
  • For each of the following pairs of waveforms, use the convolution integral to find the response y(t) of the LTI system with impu
    7·1 answer
  • In 2000, the number of students enrolled at Arlington Country Day School was 823 students. In 2010, the population was approxima
    12·2 answers
  • Help........ASAP.............
    11·2 answers
  • Find the perimeter of a regular nonagon with sides measuring 14.
    13·2 answers
  • 4.5.11
    14·1 answer
  • For his long distance phone service, Keith pays a $3 monthly fee plus 11 cents per minute. Last month, Keith's long distance bil
    5·1 answer
  • Help please! any help is appreciated
    14·1 answer
  • Reflect the given triangle over<br> the line y=-x.
    5·1 answer
  • The circle graph shows how Lila spent her after-school time during the month of October.
    15·1 answer
  • I need help to find the lcm of 81 and 3
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!