All categories

3 years ago

What equation represents a circle with a center at (-3, -5) and a radius of 6 units

Mathematics

1 answer:

kupik [55]3 years ago

3 0

Answer:

(x+3)^2 + (y +5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle with the formula

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x- -3)^2 + (y - -5)^2 = 6^2

(x+3)^2 + (y +5)^2 = 6^2

(x+3)^2 + (y +5)^2 = 36

You might be interested in

A biologist is studying a certain type of algae. She starts with only 1 algae bloom and observes that the number of algae blooms

attashe74 [19]

Answer:

$h = \log_{3}{a_h}$

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

$a_{n} = a_{1}r^{n-1}$

a₀ = 1, r = 3, and n = h

So,

$a_{h} = 3^{h}$

$h = \log_{3}{a_h}$

$h = \log_{3}{6561} = 8$

6 0

3 years ago

Read 2 more answers

What is the slope of the line passing through -7,-2 and 4,1

Vladimir [108]

The slope is for that would be 3/11

4 0

4 years ago

The sum of three consecutive integers is 45. What are the integers

Blababa [14]

Divide 45 by 3 ( the quantity of consecutive numbers) This will give you the middle number, then use the number higher and lower.

45/3 = 15

14 + 15 + 16 = 45

The 3 numbers are 14, 15 and 16

3 0

4 years ago

AB is a diameter. 48° B A What is the measure of BC? 180° 84 42° 96°

elena-14-01-66 [18.8K]

Answer:

84°

Step-by-step explanation:

The central angle of a circle is twice any inscribed angle subtended by the same arc.

because AB is a diameter, we also know that the triangle angle at C is 90° (all the inscribed triangles with their baseline being a diameter are right-angled).

as always, the sum of all angles in a triangle is 180°.

so, we know the triangle angle at A is

180 - 90 - 48 = 42°.

this is also the inscribed angle of the arc BC.

the central angle for arc BC (that is what is requested here) is then twice that angle : 2×42 = 84°

3 0

3 years ago

[(√4 + 3)2 – 9] / (√9 – 1)3 * 2

Ket [755]

Answer:

$\frac{1}{12}$

Step-by-step explanation:

$\frac{(\sqrt{4} + 3)2 - 9}{ (\sqrt{9} - 1)3 * 2}=\frac{(2+3)2-9}{(3-1)6}=\frac{10-9}{2*6}=\frac{1}{12}$

8 0

3 years ago