3 years ago

Write the equation in standard form, then identify center and radius of circle.

Mathematics

1 answer:

Natalka [10]3 years ago

6 0

Answer:

Step-by-step explanation:

Given

x^2 + y^2 - 16y - 36 = 0

x^2 + y^2 - 16y = 36

x^2 + y^2 - 16y + (16/2)^2 = 36 + 8^2

x^2 + (y - 8)^2 = 64 + 36

x^2 + (y - 8)^2 = 100

The center is at (0,8) and the radius is 10

Try and follow it from the graph below.

You might be interested in

If the expression $3^1 times 9^2 times 27^3 \times 81^4 is simplified to the form 3^n, what is the value of n?

Darina [25.2K]

Answer:

$n=30$

Step-by-step explanation:

Given expression:

$3^1\times 9^2\times 27^3\times 81^4$

The given expression needs to be simplified to the form $3^n$

Applying the exponents rule to simplify.

$3^1\times 9^2\times 27^3\times 81^4$

Writing all numbers as product of 3.

⇒ $3^1\times (3\times3)^2\times (3\times3\times3)^3\times (3\times3\times3\times3)^4$

Writing each in exponents form.

⇒ $3^1\times (3^2)^2\times (3^3)^3\times (3^4)^4$

Using power of a power rule $[\ (a^x)^y=a^{xy}\ ]$

⇒ $3^1\times 3^4\times 3^9\times 3^16$

Using multiplication rule of exponents $[\ a^x\times a^y=a^{x+y}\ ]$

⇒ $3^{1+4+9+16}$

⇒ $3^{30}$

So we have $3^n=3^{30}$

∴ $n=30$

8 0

3 years ago

find the total amount in the account to the nearest cent if the interest is compounded annually $2750 at 8% for 2 years

mote1985 [20]

Answer:

$3190

Step-by-step explanation:

5 0

3 years ago

If fx) is a linear function, which statement must be true?

Hitman42 [59]

Answer:

B. f(x) has no x2-term.

9 0

3 years ago

A roller coaster at six flags is 1.5 kilometers long. how many miles is it?

bagirrra123 [75]

The answer will be 0.932057

8 0

3 years ago

Marking brainliest <br><br> Is this a good start for my argumentative essay against animal testing?

VikaD [51]

What’s a good start I don’t see anything

3 0

2 years ago

Read 2 more answers