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r-ruslan [8.4K]
1 year ago
15

Find the equation of a circle with center at (5, 6) and radius 8.

Mathematics
2 answers:
S_A_V [24]1 year ago
7 0

Answer:

(x-5)^2+(y-6)^2=64

Step-by-step explanation:

<u>Equation of a circle</u>

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

where:

  • center = (a, b)
  • radius = r

Given:

  • center = (5, 6)
  • radius = 8 units

<u>Substitute</u> the given values into the formula:

\implies (x-5)^2+(y-6)^2=8^2

\implies (x-5)^2+(y-6)^2=64

Therefore, the equation of a circle with the given values is:

(x-5)^2+(y-6)^2=64

Learn more about equations of circles at:

brainly.com/question/27955619

brainly.com/question/27783217

Elanso [62]1 year ago
5 0

Answer:

(x - 5)^2 + (y - 6)^2 = 64

Step-by-step explanation:

Every circumference is in the form:

(x - xc)^2 + (y - yc)^2 = r^2

Where xc is the x of the center. Yc is the y of the center. r is the radius. We just plug in the values and we're done.

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Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabyt
soldi70 [24.7K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Maximum capacity of hard drive = 500 GB

Space used up = 58 GB

Size per movie = 8GB

Number of movies = x

1)

[(Number of movies * size per movie) + used up space] should be less than or equal to the maximum capacity to f the drive.

From Elena's inequality, the total space taken up by movies + used up space is greater than total capacity of hard drive.

That is ;

[(8x + 58 ≤ 500

8x ≤ 500 - 58

8x ≤ 442

x ≤ 442 / 8

x ≤ 55.25

The maximum number of movies Elena can download is 55

8 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Mice21 [21]

Answer:

C=12

Step-by-step explanation:

2x12=24

3x12=36

5x12=60

7 0
2 years ago
If 4sintheta = -3, solve for theta given 0°&gt;_theta&gt;_360°
Soloha48 [4]

Answer:

311.41 degrees

Step-by-step explanation:

If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).

Let's assume we're in Quadrant IV.  Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.

According to the Pythagorean Theorem,  (-3)^2 + x^2 = 4^2, or,

x^2 = 16 - 9 = 7.

Then x is either √7 or -√7.

To find the angle Ф, use the inverse sine function:

Ф = arcsin (-3/4).  Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees.  We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."  

6 0
3 years ago
8+30\2+4=27 put parentheses so it can equal 23 and 13
zhannawk [14.2K]

Answer:

correct anwer=27

Step-by-step explanation:

the anwer for this equation comes out to be 27. As simple as it becomes on applying paranthesis to this equation therefore we get

8+(30/2)+4=27

we need to apply the paranthesis using the method of BODMAS.

which favours division over addition.

therefore,correct anwer is 27 and not 13

6 0
3 years ago
Write the equation of the line that passes through the points (0, 6) and (3, 0) in slope-intercept form
damaskus [11]

Answer:y=-2x+6

Step-by-step explanation: Write in Slope-Intercept form, y=mx+b.

Hope this helps you out! ☺

8 0
3 years ago
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