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
Alex_Xolod [135]
3 years ago
12

Find the center and radius of the circle whose equation is given below: (x − 2.5)2 + (y + 5.4)2 = 1.21

Mathematics
2 answers:
Vladimir79 [104]3 years ago
8 0

Answer:

The center is at (2.5, -5.4)  and the radius is 1.1

Step-by-step explanation:

The formula for a circle is

(x-h)^2 + (y-k)^2 = r^2

Where (x,k) is the center and r is the radius)

(x − 2.5)^2 + (y + 5.4)^2 = 1.21

(x − 2.5)^2 + (y -  - 5.4)^2 = 1.1^2

The center is at (2.5, -5.4)  and the radius is 1.1

irinina [24]3 years ago
3 0

Answer:

The center of the circle is  (2.5,  5.4) and the radius of the circle is 1.1

Step-by-step explanation:

We are to find the center and radius of the circle whose equation is given as;

(x − 2.5)² + (y + 5.4)² = 1.21  ----------------------------------------------------(1)

All we need to do is to compare it with a standard equation of a circle.

A standard equation of a circle with center (a,b) and radius r is given as;

(x -a)² + (y - b)² = r²   ---------------------------------------------------------(2)

where a, b is the center of the circle and r is the  radius of the circle

Comparing equation (1) and (2)

C(2.5 , 5.4)  

r² = 1.21

But what we are looking for is just r, so we will take the square root of both-side

√r² = √1.21

r= 1.1

Therefore the center of the circle is  (2.5,  5.4) and the radius of the circle is 1.1

You might be interested in
What is the answer to x+y=3​
Nadusha1986 [10]

Answer:

(x+y)² =(x+y)(x+y)    Then you FOIL (First, outer, inner, last)

(x+y)² =(x+y)(x+y) = xx + xy + xy + yy [and when you combine like terms] = x² + 2xy + y²

(x+y)3 = (x² + 2xy + y²)(x+y) Then you FOIL (First, outer, inner, last)

(x+y)3 = (x² + 2xy + y²)(x+y) = x2x +2xxy + xy2 + x2y + 2xyy + y2y [and when you combine like terms] = x3 + 3x2y+ 3xy2 + y3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
2. Which number is a solution of the inequality? <br> -5 <br> -6<br> 6<br> 7
Sveta_85 [38]
I don’t understand your answerso you can be more specific?
7 0
2 years ago
If there is 1/6 of a cake and Mitchell only wants 3/12 of it. how much of the cake does he want?
kherson [118]

he wants 1/24 of the cake

8 0
3 years ago
Read 2 more answers
The southward translation of the rose garden is along which axis? What integer represents a change of four yards south?
Sphinxa [80]

Going south means you're going in the negative direction along the y axis

Going 4 yards south would be represented as -4 on the y axis number line (this is the vertical number line)

3 0
3 years ago
 If the function G(x) = (x - 8)2 + 6 has the same shape as F(x) = x2 + 6, how far to the right of F(x) is G(x) shifted?
nikitadnepr [17]
G(x) = (x - 8)^2 + 6\ \ \ and\ \ \ F(x) = x^2 + 6\\\\Ans.\ G(x)\ is\ shifted\ 8\ units\ right\ to\ the\ F(x)
8 0
3 years ago
Other questions:
  • Pearl got a job through an employment agency. this job pays $54,670 and the agency fee is equal to 25% on one months pay.
    8·2 answers
  • Evaluate.<br><br> –345 + 562 – (–209)
    5·1 answer
  • A population of deer mice consists of 200 individuals and has an r = 0.1. A population of wood rats consists of 100 individuals
    8·1 answer
  • You have been assigned the job of doubling an investment by putting it in an account that earns 8% simple interest annually. Abo
    11·1 answer
  • 6.
    11·1 answer
  • You roll a 6-sided die twice. What is P(1, less than 3)? Simplify
    7·1 answer
  • Write an expression that represents the area in square feet of each room in the house shown. Then
    6·1 answer
  • Please help me on dis question
    6·1 answer
  • A curve passes through the point 1,-11 and its gradient at any point is ax2+b, where a and b are constants. The tangent to the c
    13·1 answer
  • Simplify by dividing negative five over eight ÷ negative three over four.. (5 points)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!