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2 years ago

The equation of a circle is (x-1)^2 +(y-2)^2=4. What is the center of the circle and what is the radius of the circle?

Mathematics

1 answer:

Virty [35]2 years ago

8 0

Answer:

Step-by-step explanation:

(x-1)²+(y-2)² =4 compare the given equation with the general one

(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius

so center is at ( 1, 2) and radius is 2

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A line segment is divided in two segments, such that the ratio of the long segment to the short segment is equivalent to the go

vova2212 [387]

Answer:

9.271 inches.

Step-by-step explanation:

Let AC be the length of original line segment and point B divides it into two segments such that AB is longer and BC is smaller segment.

$AB+BC=AC=15$

We can describe the golden ratio as:

$\frac{AB}{BC}=\frac{AC}{AB}=1.618$

$\frac{AC}{AB}=1.618$

$\frac{15}{AB}=1.618$

$\frac{15}{1.618}=AB$

$9.270704=AB$

$AB=9.271$

We can verify our answer as:

$AB+BC=15$

$9.271+BC=15$

$9.271-9.271+BC=15-9.271$

$BC=5.729$

$\frac{AB}{BC}=1.618$

$\frac{9.271}{5.729}=1.618$

$1.618=1.618$

Hence proved.

Therefore, the length of the longer side would be 9.271 inches.

4 0

3 years ago

The university needs to transport 421 fans from the stadium parking lot to the football game. If a van holds 10 people, how many

Tasya [4]

421/10= 42.1 vans since you can’t bring a 0.1 van you’ll have to bring a whole extra van so 43 vans

answer: one person will be in the partially full van

7 0

2 years ago

During a phone call, Beyunka was told of the most recent transactions in her company's business account. There were deposits of

Norma-Jean [14]

Answer:

The amount of change in the balance of the account is an increase of $3160.57.

Step-by-step explanation:

i) first deposit is given as $1250

ii) second deposit is given as $3040.57

iii) first withdrawal is given as $400

iv) second withdrawal is given as $400

v) third withdrawal is given as $400

vi) first penalty removed is $35

vii) second penalty removed is $35

viii) therefore the change to the balance is given by

$1250 + $3040.57 - $400 - $400 - $400 + $35 + $35 = $3160.57

viii) Therefore the amount of change in the balance of the account is an increase of $3160.57.

4 0

2 years ago

The hull speed of a boat is approximated by the

Law Incorporation [45]

a=1.34

b=ln-10

ln>10

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find the slope<br> 1) y=4x+5

OlgaM077 [116]

Answer: there's the slope!!!

Step-by-step explanation:I saw the slope

6 0

3 years ago