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butalik [34]
3 years ago
6

Find the Center and the radius of the circle x2 + y2 - 6x + 8y- 7 = 0.

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

C(3,-4), r=4*sqrt(2)

Step-by-step explanation:

C(p, q)

x^2+y^2+dx+ey+f=0

p=-d/2, q=-e/2, r^2=p^2+q^2-f

x^2+y^2 - 6x+8y-7=0

p=-(-6)/2=6/2=3

q=-8/2=-4

r^2=3^2 +(-4)^2+7

r^2=9+16+7

r^2=32

r=sqrt(32)

r=sqrt(16*2)

r=4*sqrt(2)

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Write the equation of the line with the given slope and the given point.<br><br> y = ?
Naddika [18.5K]

Answer:

y=x+8

Step-by-step explanation:

y=x+b

That is the equation with only the slope, however, we can use the point (-4,4) to find the y-intercept

4=-4+b

Add 4 both sides:

8=b

Thus the equation is y=x+8

Hope this helps!

3 0
2 years ago
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!!!!(Help me please)!!!!
Leona [35]

Answer:

The correct option is C

Step-by-step explanation:

A: We know that the lower quartile is 144, and the upper quartile is 129.5 is you add them all up it is going to equal 273.3. So we know that A can now be crossed out.

B: We know that the lower quartile is 146, and that means the upper quartile is 136.5. So adding all of these numbers up we ill get 282.5 So now <u>B can be crossed out</u>

C: The lower quartile is 114 and the upper quartile is 129.5 and when we add those two numbers up we are going to get 243.5. So we are going to keep this number

D: For the last one we know the lower quartile is 214 and upper is 129.5, and when we add this we get 343.5. So we can cross this out and<u> the only one we have left is going to be C</u>

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3 0
2 years ago
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(PLEASE HELP ASAP)
lesya [120]

Answer:

  • Slope: -2
  • equation: y = -2x +5

Step-by-step explanation:

The given point is the y-intercept of the line, so the slope-intercept form of the equation of a line can be used:

  y = mx + b . . . . for slope m and y-intercept b

Here, you have the slope given as ...

  m = -2

  y-intercept = 5

so the equation of the line is ...

  y = -2x +5

_____

The y-intercept is the value of y when x=0. The point (x, y) = (0, 5) tells you the y-intercept is 5.

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2 years ago
100 POINTS!! A company has 400 employees. There are 300 female employees. There are 80 employees who are under the age of 25. Th
Fittoniya [83]

Answer:

probability of randomly selecting an employee who is female and under the age of 25= 0.15

In percentage= 15%

Step-by-step explanation:

There are 300 female employees. There are 80 employees who are under the age of 25

Probabilty of choosing a female employees= 300/400

Probabilty of choosing a female employees= 0.75

Probabilty of choosing an employees under the age of 25

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Probabilty of choosing an employees under the age of 25

= 0.2

probability of randomly selecting an employee who is female and under the age of 25= 0.2*0.75

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In percentage= 15%

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amm1812

Answer:

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