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marin [14]
3 years ago
15

Based on the following equation. what is the radius of this circle? (x-3)+(y+2)^2=4

Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer:

r = 2 units

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

(x - 3)² + (y + 2)² = 4 ← is in standard form

with r² = 4 ⇒ r = \sqrt{4} = 2

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A man drove 13 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of
Pavlova-9 [17]

Answer:

13.93 miles

Step-by-step explanation:

From the given information:

we are being told that a drove 13 miles towards east from home.

and make a left turn due north, thus travel 5 miles.

The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.

Let the horizontal base distance be x = adjacent side = 13 miles

Let the vertical distance be y = opposite side = 5 miles

Let the slant distance be z = hypotenuse side =  ??? (unknown)

Therefore, using the pythagoras theorem.

(hypotenuse)² = (opposite)² + (adjacent)²

z² = y² + x²

z² = 5² + 13²

z² = 25 + 169

z² = 194

z = \sqrt{194}

z = 13.93 miles

7 0
3 years ago
Mix number for 8x1/2
Paul [167]

Answer:

Step-by-step explanation:

Easy way to do this is;

    1

8   _

    2

8 * 2 = 16

16 + 1 = 17

17/2 = 8 , 1/2

4 0
3 years ago
If my phone lock consisted of 3 single-digits and 3 numbers, how many possible codes are there?
Kruka [31]

Answer:

1,000 different combinations are possible

Step-by-step explanation:

Because if youre lock ckntained 3 single digit numbers it would have to be 0-9 so each digit would have 10 options so there would be 1,000 different combinations that are possible.

8 0
3 years ago
Find the fifth term in the sequence<br>that is defined as follows:<br>an = 2n​
Rainbow [258]

Answer:

a_{5}=10

Step-by-step explanation:

If you want to find the 5th term of a sequence or any term you have to substitute n for the desired term in your case the result is the following

a_{n}=2n\\a_{5}=2(5)\\a_{5}=10

7 0
3 years ago
You had $23 to spend on five raffle tickets. After buying them, you had $8.
Sophie [7]

Answer:3

Step-by-step explanation:

23-8= 15

15/5=3

5 0
3 years ago
Read 2 more answers
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