All categories

2 years ago

The equation of a circle is given below.

Mathematics

1 answer:

hram777 [196]2 years ago

8 0

Answer:

The center of the circle is (2/3, 0) and radius is ±6units

Step-by-step explanation:

Given the equation of a circle given as shown;

(x-2/3)²+y² = 36

To get the radius and centre of the circle, we will compare the equation with the general equation of a circle given as;

(x-a)²+(y-b)² = r² where (a, b) is the centre of the circle and r is the radius.

Comparing with the given equation,

we will see that;

a = 2/3, b = 0 and r² = 36

If r² = 36

r = ±√36

r = ±6

This shows that the center of the circle (a, b) = (2/3, 0) and radius is ±6

You might be interested in

What is the sum 2, 3, 4, and 5?

borishaifa [10]

Answer:

Step-by-step explanation:

We can find the sum of these numbers by adding them together.

The cumulative rule of addition lets us add numbers together in any order we want.

So, for 2 + 3 + 4 + 5 …

2 + 3 = 5

So now we have 5 + 4 + 5

5 + 4 = 9

Now we have 9 + 5

And 9 + 5 = 14

So, your answer is 14

Hope this helps!

4 0

1 year ago

You are selling t-shirt for $15 each as a fundraiser. You sold 17 less today then you did yesterday. Altogether you have raised

jeyben [28]

Answer: 28

Step-by-step explanation:?

4 0

2 years ago

Your grandparents invested $2,000 for you on the day you were born. How much will this investment be worth on your 25th birthday

algol [13]

We know that, Amount in Compound interest is given by :

$\bigstar \ \ \boxed{\sf{Amount = Principal\bigg(1 + \dfrac{Rate \ of \ Interest}{100}\bigg)^{Time \ Period}}}$

Given : Principal = $2000

Given : Annual yield is 5% and the interest is compounded quarterly

It means : Interest is compounded 4 times in a year

$\implies \sf{Rate \ of \ Interest = \dfrac{R}{4} = \dfrac{5}{4}}$

$\sf{\implies Time \ period = (25 \times 4) = 100}$

Substituting all the values in the formula, we get :

$\implies \sf{Amount = 2000\bigg(1 + \dfrac{\dfrac{5}{4}}{100}\bigg)^{100}}$

$\implies \sf{Amount = 2000\bigg(1 + \dfrac{5}{400}\bigg)^{100}}$

$\implies \sf{Amount = 2000\bigg(1 + \dfrac{1}{80}\bigg)^{100}}$

$\implies \sf{Amount = 2000\bigg(\dfrac{81}{80}\bigg)^{100}}$

$\implies \sf{Amount = 2000 \times (1.0125)^{100}}$

$\implies \sf{Amount = 2000 \times 3.463}}$

$\implies \sf{Amount = 6926.8}$

8 0

2 years ago

Please help. Don’t understand this math problem!!!

Fittoniya [83]

Answer:

1). Option (C)

2). Option (A). degree of 3 = 0

Step-by-step explanation:

A polynomial having one term is called 'Monomial' in algebraic terms.

3 is a number that is a polynomial with a single term.

Therefore, the given expression is a polynomial.

Hence Option (C) is the answer.

3 can be written as 3x⁰ (Since x⁰ = 1)

Therefore, degree of the polynomial is 0.

Option (A). degree of the polynomial = 0

6 0

3 years ago

Aimee and Ben are purchasing a condominium and are financing $415,500. The mortgage is a 20-year 3/1 ARM at 2.75% with a cap str

Sonbull [250]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

<span>Bart and April are purchasing a house with a 15-year, 2/1 ARM for $315,000 at 5.85% with a 2/8 cap structure. What will the difference in payments be from year 2 to year 3?

$333.68 </span>

4 0

3 years ago