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kirill115 [55]
3 years ago
13

Which equation represents a circle with a center at -3, -5) and a radius of 6 units?

Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0

Answer:

(x+3)²+(y+5)² = 36

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given

Centre (-3, -5)

a = -3 and b = -5

radius r = 6units

Substitute

(x-a)²+(y-b)² = r²

(x-(-3))²+(y-(-5))² = 6²

(x+3)²+(y+5)² = 36

hence the required equation is (x+3)²+(y+5)² = 36

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Rzqust [24]
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First plug in the x, y values given to find K
18=k(5)
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3 years ago
A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
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Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
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alrighty

we gots
SA=W²+4HW and
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we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
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take derivitive to find the minimum
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0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
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the box is 20cm height and the width and length are 40cm
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