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
You loan a friend $3,000. You charge 5.4% interest and they will pay you back in 6 months. How much interest will your friend ha
Hoochie [10]

Answer:

The answer is 1092

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What numbers are always prime numbers?
VashaNatasha [74]
2 ,3,5,7,11,17,19,23,29,31, 37,41,43,47,53,59,61
67,71,73,79,83,89,97.....
4 0
3 years ago
23. Kelvin travelled of his journey at 45 km/h and of the remaining journey at 90 km/h. The rest of his journey was completed in
Sonja [21]

Answer:

4.6 hours

Step-by-step explanation:

we first need to calculate the total distance he covered and total time taken whole for the journey.

Distance= speed X time

time = Distance/speed

let the total distance be X. he covers 2/5 if the journey first.

2/5 = 0.4

Time = 0.4x/45 hours

the remaining journey is 3/5x

he covers 1/3 X 3/5= 0.2x

time taken = 0.2/90 X hours

the remaining distance = 100× 1.2 = 120km

we add 0.4x + 0.2x to get the fraction he had covered

0.6x.

the remaining distance was X - 0.6x = 0.4 X

thus 120 km represents 0.4x of the journey

we calculate now the value of X

0.4x = 120

X = 300km

Total time taken = 0.4x/45 + 0.2/90 + 1.2 hours

replace X to get time

2.7 hours + 0.7 hours + 1.2 hours

= 4.6 hours

3 0
1 year ago
1. Which of the following points is a solution of y > |x| + 5?
Dennis_Churaev [7]
1.   iThis  is shaped like a V with its vertex at the point (0,5)
( its ( 1,7)

2. -3 <= -1-1 = =2

so its (-1, -3)

7 0
3 years ago
Read 2 more answers
Find the slope from the given table:<br> х Y<br> -3. 8<br> 0. 7 <br> 3. 6
Gelneren [198K]
The answer is plus +3 for slope
6 0
2 years ago
Read 2 more answers
Other questions:
  • PLS HELP I NEED IT REALLY FAST WILL AWARD BRAINLIEST!! MAKE SURE TO INCLUDE HOW YOU DID IT.
    15·1 answer
  • I need an urgent help to answer these questions please
    15·1 answer
  • The product of w and 5 is less than or equal to -15
    8·1 answer
  • Find the answer<br> 29°<br> 36°<br> 49°<br> 61°
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B6%7D%20%3D%202.449489742783..." id="TexFormula1" title=" \sqrt{6} = 2.44948974278
    8·2 answers
  • Two students, Tony and Mike, factored the trinomial 8x2 − 12x − 8. Tony factored it as 4(x − 2)(2x + 1) and Mike factored it as
    12·1 answer
  • Give the sum of -2 3/8 + 1 1/4 in simplest form
    10·1 answer
  • Solve the following system of equations:<br><br> x − 2y = 14<br> x + 3y = 9
    12·2 answers
  • **PLEASE ANSWER** 20 POINTS, Rebeka claimed the equation 3x + 4 = 10 has two solutions. Explain the error in Rebeka’s claim.
    7·1 answer
  • 1)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!