korbenbrown7554
05.10.2019 •
Mathematics
Using the following equation, find the center and radius of the circle. you must show all work and calculations to receive credit.
x2 − 4x + y2 + 8y = −4
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Ответ:
group x and y's together
(x^2-4x)+(y^2+8y)=-4
complete the squaer for x's and y's
take 1/2 of -4 and square it
take 1/2 of 8 and square it
(x^2-4x+4-4)+(y^2+8y+16-16)=-4
factoer perfect square
(x-2)^2-4+(y+4)^2-16=-4
(x-2)^2+(y+4)^2-20=-4
add 20 to both sides
(x-2)^2+(y+4)^2=16
(x-2)^2+(y+4)^2=4^2
in form
(x-h)^2+(y-k)^2=r^2
center is (h,k)
radius is r
in our equation
center is (2,-4)
readius is 4
Ответ:
The price of the item is $27.
Step-by-step explanation:
$90 is reduced by 70% means: $90 - 0.70*$90 = (1 - 0.70)*$90 = 0.30*$90 = $27. The price of the item is $27 now.