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Elenna [48]
3 years ago
7

The circle below is centered at the point (4,1) and has a radius of length 2. What is it’s equation?

Mathematics
2 answers:
boyakko [2]3 years ago
8 0

Answer:

B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k ) = (4, 1) and r = 2, hence

(x - 4)² + (y - 1)² = 4 → B

vekshin13 years ago
5 0

Answer:

Option B:

(x-4)^2+(y-1)^2 = 4

Step-by-step explanation:

Given

Centre = (h,k) = (4,1)

Radius = r = 2

The standard equation of circle is:

(x-h)^2+(y-k)^2=r^2

Putting the values of h,k and r

(x-4)^2+(y-1)^2 = (2)^2\\(x-4)^2+(y-1)^2 = 4

Hence, the correct option is option B

(x-4)^2+(y-1)^2 = 4

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Find the amount that results from the given investments. $200 invested at 9% compounded after a period of 4 years
Yanka [14]

Answer:

The amount of invested money after a period of 4 years:

A = 200 x (1 + 9/100)^4 = 282.32 dollar

Hope this helps!

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8 0
2 years ago
What is the value of 5³ ?
ArbitrLikvidat [17]

Answer:

125

Step-by-step explanation:

5^3 = 5 x 5 x 5

5 x 5 x 5 = 25 x 5

25 x 5 = 125

6 0
2 years ago
Read 2 more answers
Need help doing this questions, all help is appreciated thanks.
vichka [17]

Answer:

The answer to your question is the third option

Step-by-step explanation:

To know if two lines are parallel we must get their slopes if the slopes are equal, the lines are parallel.

Data

A (2,2)

B (3,6)

C(0,5)

D(1,9)

Formula

slope = \frac{y2 - y1}{x2 - x1}

Process

1.- Calculate the slope of line 1

slope 1 = \frac{6 - 2}{3 - 2}

slope 1 = \frac{4}{1}

slope 1 = 4

2.- Calculate slope 2

slope 2 = \frac{9 - 5}{1 - 0}

slope 2 = \frac{4}{1}

slope 2 = 4

3.- Compare the slope

slope 1 = 4 and slope 2 = 4, both slope are equals, then the lines are parallel.

8 0
2 years ago
Maris put trim around a mirror that is the shape of a square. Each side is 24 inches long. Maria has 1 foot of trim left. What w
Dahasolnce [82]

Answer:

16.028 yards

Step-by-step explanation:

1 inch=0.0833333 foot

24 inches=0.0833333×24

=1.9999992 foot

The mirror is square shaped and each side is 24 inches

If each 24 inches=1.9999992 foot

Then,

4 sides of 24 inches=1.9999992×24

=47.9999808 foot

Maria has 1 foot of trim left

Total Length of trim when she started=47.9999808+0.0833333

=48.0833141 foot

=16.02777136667 yards

Approximately,

16.028 yards

8 0
2 years ago
At a used book sale, the number of books bought and the price paid by five different customers is shown in the table below. Odin
Arisa [49]

Answer:

Part A= 0.5

Step-by-step explanation:

7 0
2 years ago
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