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Vikki [24]
3 years ago
13

The general form of the equation of a circle is x^2+y^2−4x−8y−5=0.

Mathematics
1 answer:
lakkis [162]3 years ago
5 0
X² - 4x    + y² - 8y    = 5

Complete the square:
x² - 4x + (4) +  y² - 8y + (16)    = 5 + (4) + (16)
→  (x - 2)²    +  (y - 4)²    = 25

Center: (2,4)
radius: √25 = 5
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An airplane needs to reach a velocity of 203.0 km/h to take off. On a 2000 m runway, what is the minimum acceleration necessary
Aliun [14]

Answer:

1.59 m/s²

Step-by-step explanation:

Acceleration = change in Velocity over time. Mathematically it is represented as Δv/Δt

Given values in the question:

  • Final velocity 203.0 km/h which is equal to (203/3.6)m/s = 56.39 m/s
  • distance 2000 m
  • Initial velocity is 0 m/s

<em>To use the equation for acceleration time is needed.</em>

<em>velocity= distance/time</em>

(203/3.6) = 2000/time  <em>mltiplying both sides by time</em>

(203/3.6) x time = 2000 <em>making time subject of the formula</em>

time = 2000/(203/3.6)

time = 35.47 seconds

Substituting into the acceleration equation

acceleration =Δv/Δt

                      =(56.39- 0)/35.47

                       = 56.39/35.47

                       =1.59 m/s²

6 0
3 years ago
What is the value of x in the following equation?<br><br> 5x−13=15+7x
Alex787 [66]
5x-13=15+7x
-13=15+2x
-28=2x
-14=x
7 0
2 years ago
Find the measure of an interior angle and exterior angle of a regular 24gon
Julli [10]

Answer:

Interior Angle: 165°

Exterior Angle: 15°

Step-by-step explanation:

So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:

sum = ( <em>n</em> - 2 ) * 180°     where '<em>n</em>' is the number of sides.

When '<em>n</em> = 24' then the sum is:

sum = ( 24 - 2 ) * 180°

Simplify and solve.

sum = 22 * 180°

sum = 3960°

Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:

<em>Interior Angle</em> = sum° / <em>n</em>   where n is the number of sides,

3960° / 24 = 165° = Interior Angle

Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:

165° + x = 180°

Solve for x.

8 0
2 years ago
What number is 15% of 215
PSYCHO15rus [73]
15/100 × 215 = 3225/100
= 32.25

i am a mathematics teacher. if anything to ask please pm me
3 0
3 years ago
Solve v=1/3 bh for b
katovenus [111]

Answer:

3v/h = b

Step-by-step explanation:

1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3

3 * v = (1/3 bh) * 3     --> 3v = bh

divde both sides by h and you get 3v over h = b

3v/h = b

Hope this helps!

3 0
3 years ago
Read 2 more answers
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