Use completion of sq method
x^2+y^2+14x+10y-7=0
(x+7)^2+(y+5)^2=7+49+25
(x+7)^2+(y+5)^2=81
so centre is(-7,-5) radius is9
Answer:
Answer in the picture: x = 1 | y = -5
Step-by-step explanation:
Not sure if that's the answer you're looking for but I think that's it
Answer:
The nth term of the given sequence

Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given sequence -5,-4,-1,4,11,20,31
a₀ = -5
a₁ = a₀ +1 = -5 +1 = -4
a₂ = a₁ + 3 = -4+3 = -1
a₃ = a₂ + 5 = -1 +5 = 4
a₄ = a₃ + 7 = 4 + 7 =11
a₅ = a₄ + 9 = 11+9 = 20
a₆ = a₅ + 11 = 20+11 = 31
a₇ = a₆ + 13 = 31 +13 =44
and so on
The nth term of the given sequence

Add 40 plus 32, it equals 72 because he wrote 40 popular songs and 32 songs.
Answer:
x=2 is the only solution
Step-by-step explanation:
The given expression is;

Add 1 to both sides of the equation;

Square both sides ;


This implies that;


Split the middle term



x=-3,or x=2
Check for extraneous solutions by substituting into the original equation.
When x=-3,


This is an extraneous solution.
When x=2,


. This is true
This is not an extraneous solution