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3 years ago

(x2 - 10x + 25) + (y2 - 16y +64) = 16 center (, ) radius =

1 answer:

4 0

The standard equation for a circle is

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

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

To investigate this, check first if the quadratic equations are a perfect square. This is determined by dividing the middle term by 2 and taking its square. If it equals to the third term, it is a perfect square.

For (x^2 - 10x +25): (-10/2)^2 = 25 (perfect square)
For (y^2 - 16y + 64): (-16/2)^2 = 64 (perfect square)

Then, we simplify the equation by factoring:

(x - 5)^2 + (y -- 8)^2 = 16

Thus, the center is at point (5,8)
Also, the radius is square root of 16, which is 4.

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4 years ago

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frosja888 [35]

Answer:

a. of the central limit theorem.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size, larger than 30, can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

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So the correct answer is:

a. of the central limit theorem.

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3 years ago

I need help with this question

olganol [36]

Answer:

Step-by-step explanation: what exactly are you asking?

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4 years ago

Bob can paint the lines in the middle of the road at a rate of 18 miles in nine hour workday how many miles can he paint on Satu

Citrus2011 [14]

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3 years ago

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Which equations are equivalent to log 4x=3

Lady bird [3.3K]

I'm not sure that this is what you wanted, but the solution is x = 2500
$log(4x) = 3 \\ rule > \: log_{a}(b) = x < = > \: b = {a}^{x} \\ 4x = {10}^{3} \\ 4x = 10 \: 000 \\ x = \frac{10 \: 000}{4} \\ x = 2500$
Note: when we have no number as the logarithmic base, it is 10 by default.

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3 years ago