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umka2103 [35]
3 years ago
12

On a coordinate plane, a circle has a center at (8, 9). Concentric circles are circles with the same center but different radii.

Which equations represent concentric circles along with the circle shown in the graph? Check all that apply. x2 + y2 = 25 (x – 8)² + (y – 9)² = 3 (x – 8)² + (y – 9)² = 14 (x – 8)² + (y + 9)² = 3 (x + 8)² + (y + 9)² = 25 (x + 9)² + (y + 8)² = 3
Mathematics
1 answer:
Aloiza [94]3 years ago
6 0

Answer:

  • (x – 8)² + (y – 9)² = 3
  • (x – 8)² + (y – 9)² = 14

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Circles concentric with one having its center at (8, 9) will have equations of the form ...

  (x -8)² +(y -9)² = r²

The offered answer choices that have this form are ...

  • (x – 8)² + (y – 9)² = 3
  • (x – 8)² + (y – 9)² = 14
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A triangular parking lot has two sides that are the same length and the third side is 5 m longer. If the perimeter is 71 m, find
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Answer:

The equation can be expressed as;

x+y=71 where,

Lengths of two equal sides=x=22 m

Lengths of longer side=y=27 m

Step-by-step explanation:

The total perimeter can be expressed as;

Total perimeter=Total length of the equal sides+total length of the longer side

where;

Total perimeter=71 m

Total length of each of the equal sides=x m

Total length of longer side=y=(x+5) m

replacing;

x+y=71...equation 1

71=(2×x)+(x+5)

2 x+x=71-5

3 x=66

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y=x+5=22+5=27 m

Lengths of two equal sides=22 m

Lengths of longer side=27 m

Equation;

x+y=71

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Step-by-step explanation:

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