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lisov135 [29]
3 years ago
9

I need help with this.

Mathematics
1 answer:
Mila [183]3 years ago
5 0

Answer:

question 6 is d

question7 is c

question 8 is a

Step-by-step explanation:


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Answer:

\rm\displaystyle (x  +  2{)}^{2}  + (y  + 5 {)}^{2}  =  {1}^{}

\rm\displaystyle (x - 7{)}^{2}  + (y  + 3{)}^{2}  =  { 7 }

Step-by-step explanation:

<h3>QUESTION-1:</h3>

we are given the center and the redious of a circle equation

remember that,

\rm\displaystyle E _{c} :(x - h {)}^{2}  + (y - k {)}^{2}  =  {r}^{2}

where (h,k) is the centre coordinate and r is redious of the circle

given that, h=-2 , k=-5 and r=1

Thus substitute:

\rm\displaystyle (x - ( - 2){)}^{2}  + (y - ( - 5) {)}^{2}  =  {1}^{2}

simplify:

\rm\displaystyle (x  +  2{)}^{2}  + (y  + 5 {)}^{2}  =  {1}^{}

<h3>QUESTION-2:</h3>

Likewise

\rm\displaystyle E _{c} :(x - h {)}^{2}  + (y - k {)}^{2}  =  {r}^{2}

given that,h=7,k=-3 and r=√7

substitute:

\rm\displaystyle (x - (7{))}^{2}  + (y - ( - 3){)}^{2}  =  { \sqrt{7}  ^{2}   }

simplify:

\rm\displaystyle (x - 7{)}^{2}  + (y  + 3{)}^{2}  =  { 7 }

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