Answer:
The equation of the circle is given by:
(x-a)^2+(y-b)^2=r^2
where:
(a,b) is the center of the circle
given that the center of our circle is (2,3) with the radius of 5, the equation will be:
(x+2)^2+(y+3)^2=5^2
expanding the above we get:
x^2+4x+4+y^2+6y+9=25
this can be simplified to be:
x^2+4x+y^2+6y=25-13
x^2+y^2+4x+6y=12
Answer:
A) t = -3
Step-by-step explanation:
We have the expression
and we have to find the value of t.
First we are going to reorder the expression:

Now we have to multiply each side by 2,

Subtract (-12) in both sides,

Divide both sides in 2,

The answer is option A) t = -3.
Answer:
x =
or 0.706
or 1.735
Step-by-step explanation:
5x + 2y=7 ----->(eq 1)
- 2x + 6y=9 ----->(eq 2)
Multiply (eq 1) with 3
3×(5x + 2y) = 3×7
15x + 6y = 21 ----->(eq 3)
substract (eq 3) from (eq 2)
- 2x + 6y - (15x + 6y) = 9-21
- 2x + 6y - 15x - 6y = 9-21
- 2x - 15x + 6y - 6y = 9-21
-17x = -12
x = -12 ÷ -17
x = 
put x =
in (eq 1)






Answer:

P₀ = 206 and difference d = 6
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the arithmetic sequence
206,212,218,224,.....
P₀ = 206 and difference d = 212-206 = 6
The
term of the sequence

<u><em>Step(ii):-</em></u>
The
term of the sequence

Put n=20

