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3 years ago

Using the following equation, find the center and radius:

Mathematics

2 answers:

Molodets [167]3 years ago

7 0

Answer:

The center is located at (1, 3), and the radius is 6.

Step-by-step explanation:

Source - I took the test.

il63 [147K]3 years ago

6 0

The correct option is

The center is located at (1, 3), and the radius is 6. By making the given equation as in the general equation of the circle as following x^2 -2x +1+ y^2-6y+9=26+1+9 (x-1)^2+(y-3)^2=36=6^2 So, the coordinates of the center (1,3) And the radius=6

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Discrete MathA coin is flipped four times. For each of the events described below, express the event as a set in roster notation

Vladimir79 [104]

Answer:

a) 25%

b) 50%

c) 87.5%

Step-by-step explanation:

There are $2^4 = 16$ number of outcome in total.

a)First and last flips come up heads. There are 4 outcomes here. Probability of the event is 4/16 = 1/4, or 25%.

- HHHH

- HHTH

- HTHH

- HTTH

b) at least 2 Consecutive flips that is heads. There are 8 outcomes. Probability of event is 8/16 = 1/2, or 50%

- HHHH

- HHHT

- HHTH

- HHTT

- THHH

- THHT

- HTHH

- TTHH

c) At least 2 consecutive flips that are the same. There are 14 outcomes. Probability of 14/16 = 7/8, or 87.5%

- HHHH

- HHHT

- HHTH

- HHTT

- THHH

- THHT

- HTHH

- TTHH

- TTTT

- TTTH

- TTHT

- HTTT

- HTTH

- THTT

6 0

3 years ago

(15y^0 x^-3 z^2/ 3x^3 y^7 z^1/2)^2

ArbitrLikvidat [17]

Hello! For this you are just going to do this step by step, and remember to use PEMDAS. That is the order in which you should do the math. The abbreviation stands for Parenthesis, exponents, multiplication, division, addition and subtraction. So lets get started!
((15y0x−3z23x3)(y7)z12)2=254x6y14z6x6=254y14z6

Hope this helps!! If you need any more help or further explanation just let me know!! :)

6 0

3 years ago

Ami bought some gardening tools. She paid $15 for a rake, $18 for a garden hose, and $47 for a wheelbarrow. What percent of the

trapecia [35]

19 percent.

15/80 = 18.75, rounded is 19.

8 0

3 years ago

List the angles in order from largest to smallest. A) ∠R, ∠P, ∠Q B) ∠R, ∠Q, ∠P C) ∠Q, ∠P, ∠R D) ∠Q, ∠R, ∠P

mars1129 [50]

Answer: A

Step-by-step explanation:

Angles opposite shorter sides of a triangle are smaller, and angles opposite longer sides in a triangle are larger.

8 0

2 years ago

Can someone explain the process getting from:

spin [16.1K]

$\rm 5=e^{3b}$

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

$\rm log_e(5)=log_e(e^{3b})$

We'll apply one of our log rules next:
$\rm \log(x^y)=y\cdot\log(x)$

This allows us to take the exponent out of the log,

$\rm log_e(5)=(3b)log_e(e)$

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
$\rm log_{10}(10)=1$
$\rm log_5(5)=1$
$\rm log_e(e)=1$

So our equation simplifies to this,

$\rm log_e(5)=(3b)\cdot1$

As a final step, divide both sides by 3,

$\rm \frac13log_e(5)=b$

k, hope that helps!

6 0

3 years ago