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
kodGreya [7K]
3 years ago
8

What is an equation for the translation of (x – 2)2 + (y + 1)2  = 16  by 3 units left

Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0
Answer: ( x + 1)² + (y - 4)² = 16

Explanation:

1) The given equation,  ( x - 2)² + (y + 1)² = 16, represents a circumference with center (2,-1) and radius √16 = 4.

1) The translation will not modify the radius of the circunference, siince translations are rigid transformations.

2) The translation 3 units to the left and 5 units upward certainly will move the center of the circunference.

This is how:

(x,y) → (x - 3, y + 5)

(2, -1) → (2 - 3, - 1 + 5) = (- 1, 4)

3) Then, keeping the same radius and being the center (-1,4), the equation of the circumference after the translation will be:

( x + 1)² + (y - 4)² = 16 ← answer


You might be interested in
5.3 Q4
barxatty [35]

The derivative of the function g(x) as given in the task content by virtue of the Fundamental theorem of calculus is; g'(x) = √2 ln(t) dt = 1.

<h3>What is the derivative of the function g(x) by virtue of the Fundamental theorem of calculus as given in the task content?</h3>

g(x) = Integral; √2 ln(t) dt (with the upper and lower limits e^x and 1 respectively).

Since, it follows from the Fundamental theorem of calculus that given an integral where;

Now, g(x) = Integral f(t) dt with limits a and x, it follows that the differential of g(x);

g'(x) = f(x).

Consequently, the function g'(x) which is to be evaluated in this scenario can be determined as:

g'(x) = \int\limits^{e^x}_1 2 ln(t) dt = 1

The derivative of the function g(x) as given in the task content by virtue of the Fundamental theorem of calculus is; g'(x) = √2 ln(t) dt = 1.

Read more on fundamental theorem of calculus;

brainly.com/question/14350153

#SPJ1

8 0
1 year ago
What is this?<br><img src="https://tex.z-dn.net/?f=%20%5C%5C%20" id="TexFormula1" title=" \\ " alt=" \\ " align="absmiddle" clas
liberstina [14]

Answer:

TeX, stylized within the system as TeX, is a typesetting system which was designed and written by Donald Knuth and first released in 1978. TeX is a popular means of typesetting complex mathematical formulae

Step-by-step explanation:

TeX, stylized within the system as TeX, is a typesetting system which was designed and written by Donald Knuth and first released in 1978. TeX is a popular means of typesetting complex mathematical formulae

7 0
3 years ago
Read 2 more answers
The table shows the relationship between Megan's earnings and the hours that she worked.
zavuch27 [327]
I got 76 for the missing value
8 0
3 years ago
Which quadrilateral’s diagonals do not create a 90° angle at its intersection?
Shtirlitz [24]
A Rhombus and a Kite are the same thing they are the answer
4 0
3 years ago
Read 2 more answers
A doctor has invented a relaxation method that he
likoan [24]

Answer:

Exam score

Step-by-step explanation:

The response variable also known as the d pendent variable, is simply the variable we intend to measure based in a set of variables (independent variables or explanatory variables) which might cause it to change. For instance, the scenario above aims to look into how a certain relaxation method will affect the exam score, here, the variable we intend to measure is the response variable which is exam score. The exam score is affected by the impact the relaxation method has on the student, hence, the relaxation method is the independent or explanatory variable.

4 0
3 years ago
Other questions:
  • How do I solve this?
    7·1 answer
  • Which of the following figures has an area that can be found using the formula A=(pi)r2
    7·1 answer
  • The Vanderworks spend $127.75 a year for a daily newspaper. They receive it 365 days a year. How much does one paper cost
    12·1 answer
  • Line segment XY was used to draw a copy of ABC.XY is 3.5 centimeters long. What is the length of
    8·2 answers
  • What times 4 equals -384
    8·2 answers
  • In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65–69 worked. A recent report from
    10·2 answers
  • Lara baked a pan of brownies for a potluck. The number of squares she cuts the brownies into will depend on the number of people
    10·1 answer
  • Which functions have an additive rate of change of 3? Select two options.
    7·1 answer
  • Make up an equation for a quadratic function whose graph satisfies the given condition. Use whatever form is most convenient. i.
    13·1 answer
  • Can someone pls help with this tyyy
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!