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mamaluj [8]
3 years ago
12

If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is

Mathematics
2 answers:
Molodets [167]3 years ago
5 0

Answer:

the center point of the given equation is (-4,6)

Step-by-step explanation:

the equation of a circle is (x + 4)^2 + (y - 6)^2 = 25

The given equation is in center radius form

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

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

Now compare the given equation with center radius form of the equation

h=-4  and k=6

center is (h,k) so the center point of the given equation is (-4,6)

leonid [27]3 years ago
3 0
The circle equation is written as (x-h)² + (y-k)² = r²

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

In the given equation the center is at (-4,6) 

hope this helps :)
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Triangle XYZ is reflected across the x-axis, and X = (–11, 8). What are the coordinates of X’ ?
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Answer:

  (-11, -8)

Step-by-step explanation:

Reflection across the x-axis changes the sign of the y-coordinate.

For X(-11, 8), the reflected point is X'(-11, -8).    (matches the last choice)

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17 Find the volume of the figure below. (1 Point) V = luh​
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3 years ago
18 points - Qu. If 16 whole numbers factor into 120. You will see how 32 whole numbers factor into 1200 what does the same princ
alexandr402 [8]

Explanation:

<em>Your premise and conclusion are both incorrect</em>.

120 has the prime factorization ...

  120 = 2³ × 3 × 5

The exponents of the prime factors are {3, 1, 1}. The number of divisors of 120 is the product of the increments of these numbers: (3+1)(1+1)(1+1) = 4·2·2 = 16.

120 has 16 natural-number divisors

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1200 has the same prime factor and two more: 2·5, so the factorization is ...

  1200 = 2⁴ × 3 × 5²

These exponents are {4, 1, 2} and the product of their increments is 5·2·3 = 30.

1200 has 30 natural-number divisors.

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When a number is multiplied by 2, its number of natural-number divisors will be (n+1)/n times the previous number of divisors, where n is the increment of the exponent of 2 that is a factor of the original number.

For 120, 2^3 is the power of 2 that is a factor. So, multiplying the number by 2 multiplies the number of divisors by (4+1)/4 = 5/4.

240 will have 20 divisors versus the 16 that 120 has.

Likewise, multiplying this number (240) by 5 will multiply its number of divisors by (2+1)/(1+1) = 3/2, where 1 is the power of 5 that is a factor of 240.

1200 will have 20(3/2) = 30 divisors, versus the 20 that 240 has, or the 16 that 120 has.

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<em>Summary</em>

The number of divisors of an integer is the product of the increments of the exponents of its prime factors.

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<em>For reference</em>

Here are the divisors of 120:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Here are the divisors of 240:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Here are the divisors of 1200:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

7 0
3 years ago
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Answer:

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Step-by-step explanation:

What you do is you have to do 8-4=4 5-1=4 6-4=2 so there for the answer is 4 4/2

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