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stepan [7]
3 years ago
5

I NEED HELP WITH A QUICK QUESTION! 30 POINTS!

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

Answer:

The center is (2 ,-3)

The radius is 3

The diameter is twice the radius = 2(3) = 6

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 =r^2

where (h,k) is the center and r is the radius

(x - 2)² + (y+3)² = 9

(x - 2)² + (y- -3)² = 3^2

The center is (2 ,-3)

The radius is 3

The diameter is twice the radius = 2(3) = 6

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3 0
3 years ago
The length of a photograph is 1 cm less than twice the width. The area is 91cm^2. find the width and length.
maksim [4K]

Answer:

Width=6.5 cm

Length=12 cm

Step-by-step explanation:

Step 1: Express the lengths and widths

Width=w

Length=l, but 1 cm less than twice the width=(2×w)-1=2 w-1

Step 2: Solve for the length and width

A=L×W

where;

A=area of the photograph

L=length of the photograph

W=width of the photograph

In our case;

A=91 cm²

L=2 w-1

W=w

91=(2 w-1)w

2 w²-w=91

2 w²-w-91=0, is a quadratic equation

solve for w

w={-1±√(-1²-4×2×-91)}/(2×2)

w=(-1±27)/4

w=(27-1)/4=6.5, or (-1-27)/4=-8

Take w=6.5 cm

L=(2×6.5)-1=13-1=12 cm

Width=6.5 cm

Length=12 cm

6 0
3 years ago
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