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FromTheMoon [43]
3 years ago
5

Write the standard equation of the circle with center (−5, 2) and radius 1.3.

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answer:

(x + 5)² + (y - 2)² = 1.69

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 5, 2) and r = 1.3, thus

(x - (- 5))² + (y - 2)² = 1.3², that is

(x + 5)² + (y - 2)² = 1.69

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the ratio of pink marbles to white marbles in samara's bag is equal to 1:5. What percent of the bag contains pink marbles?
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Answer:

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Pick two points on the line and determine their coordinates.

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Read 2 more answers
The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
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Using Pythagorean Theorem:

a^2 + b^2 = c^2

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x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

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x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


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Longer leg: 12 + 4

Hypotenuse: 12 + 8

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