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3 years ago

13

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

t:
x^2 + 4x + y^2 − 6y = −4

1 answer:

Nitella [24]3 years ago

5 0

Answer:

Circle with center at (-2,3) and radius r=3.

Step-by-step explanation:

Rewrite equation in standard form.

(x-a)^2+(y-b)^2=r^2

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

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11. 3/4 of 12=<br> 12. 6/7 of 49<br> 15. 2/3x27<br> 16. 3/8 x 16

Zarrin [17]

Step-by-step explanation:

3/4 of 12

3/4 × 12 = 9

6/7 of 49

6/7 × 49 = 42

2/3 × 27 = 18

3/8 x 16 = 6

8 0

3 years ago

HELP PICTURE IS SHOWN

Vedmedyk [2.9K]

The answer is c) 45 times PI cubed.

4 0

3 years ago

Simplify 6m2n3 – 3m3n2 + 8m2n3 + 12m3n2

NISA [10]

Hello! Hope I can assist you.

Let us simplify some terms first!

$6m\cdot \:2n\cdot \:3 \ \textgreater \ 36mn$
$3m\cdot \:3n\cdot \:2 \ \textgreater \ 2\cdot \:3^2mn$
$8m\cdot \:2n\cdot \:3 \ \textgreater \ 48mn$
$12m\cdot \:3n\cdot \:2 \ \textgreater \ 72mn$

$36mn-2\cdot \:3^2mn+48mn+72mn$

From here, group like terms
$36mn-2\cdot \:3^2mn+48mn+72mn$

$\mathrm{Add\:similar\:elements:}\:36mn+48mn+72mn=156mn$
$156mn-2\cdot \:3^2mn$

$2\cdot \:3^2mn \ \textgreater \ 2\cdot \:9mn \ \textgreater \ 18mn$

$156mn-18mn$

$\mathrm{Add\:similar\:elements:}\:156mn-18mn=138mn$

Hope this helps!

6 0

3 years ago

Which of the following vectors are orthogonal to (-1,3)? Check all that apply.

Aliun [14]

First vector orthogonal<span> to ⟨−</span>3<span>,4</span>

7 0

3 years ago

Please help me with this question.

Rufina [12.5K]

m∠AOC = 108°

m∠AOC = 3m∠AOB

⇒m∠AOB = (m∠AOC) / 3 = 108 / 3 = 36°

3 0

2 years ago