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]
2 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]2 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
Help asap I will give u huge amount of brainly points
Minchanka [31]

Answer:

\boxed{\sf -\dfrac{5}{8}}

Use BODMAS rule,

where:

  • brackets
  • order
  • division
  • multiplication
  • addition
  • subtraction

Given expression:

\rightarrow \sf -\dfrac{1}{5} \times [\:4-14\times\left(\dfrac{1}{4} \right)^2]

simplify exponent

\rightarrow \sf -\dfrac{1}{5} \times [\:4-14\times\left(\dfrac{1}{16} \right)]

\rightarrow \sf -\dfrac{1}{5} \times [\:4-\(\dfrac{14}{16}]

\rightarrow \sf -\dfrac{1}{5} \times [\:4-\(\dfrac{7}{8}]

\rightarrow \sf -\dfrac{1}{5} \times [\:\dfrac{32}{8} -\(\dfrac{7}{8}]

\rightarrow \sf -\dfrac{1}{5} \times [\:\dfrac{25}{8}]

multiply fractions

\rightarrow \sf -\dfrac{25}{40}

\rightarrow \sf -\dfrac{5}{8}

8 0
1 year ago
Read 2 more answers
A random sample of 30 receipts for individuals shopping at the Community DrugStore showed the sample mean to be x-bar = $28.19 w
Triss [41]
Yes the answer to this question is B.
7 0
3 years ago
Read 2 more answers
I need help with this.
I am Lyosha [343]

Answer:

9x2 and 9x2

Step-by-step explanation:

3 0
3 years ago
The black figure is an ellipse
mash [69]
There is no figure here
8 0
3 years ago
1. Write down the solution set for each system with variables x, y, and z. zi cexo
insens350 [35]

Answer: need point so HA!

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • The cost of a car is $15,570. You plan to make a down payment of $1,500, and a monthly payment of $338.08 for 60 months. What is
    15·2 answers
  • Evaluate |x|/x if x is a non zero interger​
    7·1 answer
  • every sixth visitor to an animal shelter gets a free animal calendar every twentieth visitor gets a free animal toy. Which visit
    14·1 answer
  • HELP PLEASE i give brainlist
    6·1 answer
  • Find the product of z1 and z2, where z1 = 2(cos 70° + i sin 70°) and z2 = 4(cos 200° + i sin 200°)
    13·2 answers
  • What is the decimal expansion of 16 ?
    9·1 answer
  • 2x/3x^3 in a simplest form?
    5·1 answer
  • Add (7x^6+10x^2-10)+(3x^6-6x^3+4)
    11·2 answers
  • Which is true about the diagram below?
    13·2 answers
  • Chloe has $15 to spend on pencils. Each box of pencils costs $2. How many
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!