Answer:
Center: (-4, 1)
Radius: √2
Explanation:
Circle general equation is represented by (x - h)² + (y - k)² = r²
where (h, k) is the center and "r" resembles radius
To write in general equation form, start completing square:
x² + y² + 8x -2y + 15 = 0
x² + 8x + y² - 2y + 15 = 0
(x + 4)² - 4² + (y - 1)² - (-1)² + 15 = 0
(x + 4)² + (y - 1)² - 16 - 1 + 15 = 0
(x + 4)² + (y - 1)² - 2 = 0
General equation form:
(x - (-4))² + (y - 1)² = (√2)²
From here, comparing with the formula equation.
It is determined: center: (-4, 1) and radius: √2
So to start off I assume 5^2 is 5 squared in which case this Is essentially 3+25 which is 28.
and the way it works is simple 5^2 Is 5 times 5, 5^3 is 5 times 5 times 5 and so on.
It would take 30 movies that you would have to rent before the membership becomes the cheaper option.
The figure is a parallelogram so the facing sides have equal size which means :
DE = GF & DG = EF
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DE = 3x - 1 , GF = 2x + 11
DE = GF ==》 3x - 1 = 2x + 11
subtract sides minus 2x
==》- 2x + 3x - 1 = - 2x + 2x + 11
collect like terms
==》 x - 1 = 11
add sides 1
==》 x - 1 + 1 = 11 + 1
==》 x = 12
-------------------------------------------------------------
As we found : DG = EF
DG = 2x - 3 So EF = 2x - 3
To find the size of EF, we need to put the value of x (which we found above) instead x.
EF = 2 × ( 12 ) - 3 ==》 EF = 24 - 3
==》 EF = 21
And we're done...
