All categories

3 years ago

The circle below is centered at the point (3,1) and has a radius of length 2. What is its equation?

Mathematics

2 answers:

Orlov [11]3 years ago

6 0

Answer:

The correct option is B.

Step-by-step explanation:

The standard form of the circle is

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

Where, (h,k) is the center of the circle and r is the radius of the circle.

It is given that the center of the circle is (3,1) and the radius of the circle is 2.

The equation of the circle is

$(x-3)^2+(y-1)^2=2^2$

This equation is represents by option B, therefore option B is correct.

Paul [167]3 years ago

3 0

It is letter B.
Equation of a circle is in the form:
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center of the circle with radius r.

You might be interested in

Which expression is equivalent to square root 55x^7y6/11x^11y^8

Novay_Z [31]

Answer:

$\large\boxed{\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt5}{x^2y}}$

Step-by-step explanation:

$\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{55}{11}\cdot\dfrac{x^7}{x^{11}}\cdot\dfrac{y^6}{y^8}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\sqrt{5x^{7-11}y^{6-8}}=\sqrt{5x^{-4}y^{-2}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt5\cdot\sqrt{x^{-4}}\cdot\sqrt{y^{-2}}=\sqrt5\cdot\sqrt{x^{(-2)(2)}}\cdot\sqrt{y^{(-1)(2)}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt5\cdot\sqrt{(x^{-2})^2}\cdot\sqrt{(y^{-1})^2}\qquad\text{use}\ \sqrt{a^2}=a$

$=\sqrt5\cdot x^{-2}\cdot y^{-1}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\to a^{-1}=\dfrac{1}{a}\\\\=\sqrt5\cdot\dfrac{1}{x^2}\cdot\dfrac{1}{y}=\dfrac{\sqrt5}{x^2y}$

6 0

3 years ago

Lois is riding in the country. after riding her bike at a constant speed for 4 hours, she finds that she traveled a distance of

never [62]

She is going 13 miles an hour or 52 divided by 4

7 0

3 years ago

Read 2 more answers

Mrs. Greensmith works a PC Richards and earns $35 per week plus a 12% commission o sales. How much would she earn for the week i

n200080 [17]

Answer: $245

she makes $35 every week (her wage, i’m assuming) regardless of how many sales she makes.

in order to find out how much money she makes out of her sales, you have to multiply the percentage commission by how much her sales was: so .12x1750 = $210 from sales.

you then add up her wage and her sales money, so $35 from wage + $210 from sales = $245 total for the week

answer: $245

8 0

2 years ago

Read 2 more answers

What is the value of b?

tresset_1 [31]

Answer:

Step-by-step explanation:

Using the law of cosines in ΔABC

b² = a² + c² - (2ac cosB) ← substitute in values

= 25² + 28² - (2 × 25 × 28 × cos36.9°)

= 625 + 784 - 1400 cos36.9°

= 1409 - 1400 cos36.9° ( Take the square root of both sides )