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
gladu [14]
3 years ago
7

XYZ has coordinates X(2, 3), Y(1,4), and Z(8,9). A translation maps X to X'(4,7). What are the coordinates for Y' and Z' for thi

s translation?​
Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Answer:

The coordinates are Y'(x,y) = (3, 8) and Z'(x,y) = (10, 13).

Step-by-step explanation:

First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:

X'(x,y) = X(x,y) + T(x,y) (1)

Where T(x,y) is the vector translation.

If we know that X(x,y) = (2,3) and X'(x,y) = (4,7), then the vector translation is:

T(x,y) = X'(x,y)-X(x,y)

T(x,y) = (4,7) - (2,3)

T(x,y) = (2, 4)

Then, we determine the coordinates for Y' and Z':

Y'(x,y) = Y(x,y) + T(x,y)

Y'(x,y) = (1,4) + (2,4)

Y'(x,y) = (3, 8)

Z'(x,y) = Z(x,y) + T(x,y)

Z'(x,y) =(8,9) + (2,4)

Z'(x,y) = (10, 13)

The coordinates are Y'(x,y) = (3, 8) and Z'(x,y) = (10, 13).

You might be interested in
Describe how to solve problems for the area of a reduced or enlarged figure when the scale factor and dimensions of the original
Nataly [62]
Find the area of the original figure and multiply that by the square of the scale factor.
3 0
2 years ago
Read 2 more answers
evan needs to buy some wood to build a box 12in long, 8in wide and 10in high to fill with sand. how much cardboard is needed to
12345 [234]
Surface area: 592in^2
Volume: 960in^3
8 0
3 years ago
I will give u brainliest
il63 [147K]
83° because




step by step explanation::
3 0
3 years ago
the average growth of human hair is 0.5 inch per month. find how long it takes a human to grow 3 inches of hair
I am Lyosha [343]
The answer is 6months beacuse 3/.05 =6
6 0
3 years ago
Read 2 more answers
Area codes have three digits. The first digit must not be 0 or 1, the middle digit must be 0 or 1, and the last digit must not b
disa [49]
There are 10 digits 0 1 2 3 4 5 6 7 8 9 if we can't use 0 and 1 then there are only 8 choices for the first digit and only 2 choices for the second digit and 10 for the third so there are 8*2*10 =160 possibilities. I think ???
4 0
2 years ago
Other questions:
  • What is 433.38 in word form
    12·2 answers
  • An omelette costs $1.50 more than Mario's order of pancakes. After treating his family to breakfast, Mario is sure that 4 omelet
    14·2 answers
  • Evaluate the function: <br>y= -2x + 11 when x = 5.<br>y=_____​
    9·1 answer
  • Height of a table tennis net: 6 in. height of a tennis net: 3ft
    14·1 answer
  • A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are repres
    5·1 answer
  • Question 15 (5 points)
    14·2 answers
  • Your savings account pays 2.5% interest per year. How much interest does the account pay per month.
    13·1 answer
  • Hw help ASAP PLZZZZZZ
    6·1 answer
  • Calculus question, PLEASE HELP WITH THIS, due tonight!!
    15·1 answer
  • Write an expression that is equivalent to three over four (5z+ 16). WILL GIVE BRAINLIEST
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!