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dlinn [17]
2 years ago
13

Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and

calculations to receive credit.
x2 − 4x + y2 + 8y = −4
Mathematics
2 answers:
Nesterboy [21]2 years ago
7 0

\\ \rm\rightarrowtail x^2-4x+y^2+8y=-4

\\ \rm\rightarrowtail x^2-2(x)(2)+y^2+2(4)(x)=-4

  • Add 4 and 16

\\ \rm\rightarrowtail x^2-2(2x)+4+y^2+2(4x)+16=-4+4+16

\\ \rm\rightarrowtail x^2-2(2x)+2^2+y^2+2(4x)+4^2=16

\\ \rm\rightarrowtail (x-2)^2+(y+4)^2=4^2

  • (x-h)^2+(y-k)^2=r^2

so

  • Centre(h,k)=(2,-4)
  • radius=4
Vinvika [58]2 years ago
3 0

Answer:

center = (2, -4)

radius = 4

Step-by-step explanation:

\sf x^2-4x+y^2+8y=-4

\sf \implies x^2-4x+4+y^2+8y+16=-4+4+16

\sf \implies (x-2)^2+(y+4)^2=16

Equation of a circle: \sf (x-h)^2+(y-k)^2=r^2

(where (h, k) is the center and r is the radius)

Therefore,

  • center = (2, -4)
  • radius = √16 = 4
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eimsori [14]

Answer and Step-by-step explanation:

In the picture:

The graph is shaded to the right, because everything that is above -2 is allowed, so the shaded region is what is allowed to be true in this inequality.

The line is dotted because the inequality is only using greater than or less than, and not greater than or equal to, or less than or equal to.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

5 0
3 years ago
1/5x + 4 =1/3x-8 <br> Can you show your work too? That would be great
Vikentia [17]

Answer:

90

Step-by-step explanation:

1/5x+4=1/3x-8

add 8 to both sides and subtract 1/5x from both sides

4+8=1/3x-1/5x

12=5/15x-3/15x

12=2/15x

divide both sides by 2/15

12÷2/15=x

when dividing by a fraction, invert and multiply

12*15/2=x

90=x

CHECK:

1/5(90)+4=1/3(90)-8

18+4=30-8

22=22

5 0
3 years ago
Angle ACB is an inscribed angle of circle P. What is the measure of angle ACB if arc MAB is equal to 50 degrees?
Yakvenalex [24]

∠ACB is an inscribed angle, so

m∠ACB= (1/2)mAB =(1/2)*50=25⁰

m∠ACB= 25⁰

3 0
3 years ago
Read 2 more answers
; the boy to girl ratio is 10 to 8. If there are 16 girls in the class, how many boys are there?​
Zigmanuir [339]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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