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
Margarita [4]
3 years ago
11

The image of F(-5,-9) after translating along <4, 6 > and then translating along < 3, 5> is? F’(?,?)

Mathematics
1 answer:
dusya [7]3 years ago
5 0
<h3>Answer:  (2, 2)</h3>

==============================================

Explanation:

The phrasing "translated along <4,6>" is another way of saying "shift 4 to the right, shift 6 up"

In general, "translated along <m,n>" is the same as writing (x,y) \to (x+m, y+n). If m is positive, then we shift m units to the right. If m is negative, then we shift to the left. The same story happens with the n, but we focus on the y coordinate.

-------------

With all that in mind, starting at F(-5,-9) and translating along <4,6> has us arrive at (-1, -3). Add 4 to the x coordinate and add 6 to the y coordinate.

We can say

(x,y) \to (x+4,y+6)\\\\(-5,-9) \to (-5+4,-9+6)\\\\(-5,-9) \to (-1,-3)\\\\

Showing that (-5,-9) moves to (-1,-3)

This is after the first translation, but there's a second translation.

We'll apply the same idea, but different numbers this time

(x,y) \to (x+3,y+5)\\\\(-1,-3) \to (-1+3,-3+5)\\\\(-1,-3) \to (2,2)\\\\

So (-1,-3) moves to (2,2)

Overall we have

  • (-5,-9) move to (-1,-3) after the first translation
  • (-1,-3) move to (2,2) after the second translation

Therefore, the original point ends up at (2,2) which is the final answer

--------------

Extra info:

A nice shortcut is that the vectors <4,6> and <3,5> can be added to get <4+3,6+5> = <7,11>. So overall, we're shifting 7 units to the right and 11 units up when we combine the two translation vectors.

You might be interested in
The distance between two locations, A and B, is calculated using a third location C at a distance of 15 miles from location B. I
Jobisdone [24]
We will first calculate ∠A:
∠∠A = 180° - ( 105° + 20 ° ) = 180° - 125° = 55°
Then we will use the Sine Law:
15 / sin 55° = AB / sin 20°
15 / 0.81915 = AB / 0.342
AB · 0.81915 = 15 · 0.342
AB · 0.81915 = 5.13
AB = 5.13 : 0.81915
AB = 6.26 ≈ 6.3 miles
Answer: The distance between the locations A and B is 6.3 miles.
4 0
3 years ago
Read 2 more answers
What is the following sum? 4(5√x^2 y) +3(5√x^2 y)
Levart [38]

the answer is 35 x √ 2 y

3 0
3 years ago
Read 2 more answers
Events C and D are____.<br><br> P(A) = 1/3<br> P(B) = 1/3<br> P(A ∩ B) = 0<br> P(A | B) ≠ 0
snow_tiger [21]
The answer is A hope you get it right (:
6 0
3 years ago
The table shows values for the function
maw [93]

Answer:

its b

Step-by-step explanation:

because its on usatestprep

4 0
3 years ago
Solve using system of equations
IgorC [24]

Answer:

x=8

Step-by-step explanation:

set both equations equal to each other

x^2-3x-10=-2x=2

combine like terms

x^2=1x+8

x+8

Hope this helps!

8 0
3 years ago
Other questions:
  • 50 points! Reduce the fraction to lowest terms.
    14·2 answers
  • Solve for x<br> (-4/3) x - 6 = -26<br><br> A. −27<br> B. −15<br> C. 15<br> D. 27
    6·2 answers
  • The circumference of a circle is 75.36 cm. What is the area of the circle?
    14·2 answers
  • It is 3:00pm here, and Australia is 13 hours ahead of us. What time is it in Australia?
    10·2 answers
  • give me 3 pictures showing the application of the sum and the product of the roots of quadratic equations in real life . describ
    9·2 answers
  • FREE BRAINLIEST!! ill also answer questions that you have posted if you answer these 2 questions correctly!! ((Answer both quest
    9·2 answers
  • Press "F" to pay respects
    13·2 answers
  • Find the value of b in rectangle
    11·1 answer
  • Which equation represents a line that is perpendicular to y = 5x +2 and goes through
    11·1 answer
  • What is the volume of a square pyramid with a 10 x 10 foot base and an altitude of 6 feet?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!