All sides of a cube are equal,,
Use pythogorus theory to find diagonal,,
Find the distance between points A = (2, 0) and
1 answer:
Answer:
9.2
Step-by-step explanation:
You want the distance between A(2, 0) and B(0, 9).
<h3>Distance</h3>The distance formula is based on the Pythagorean theorem. It tells you the distance between (x1, y1) and (x2, y2) is ...
d = √((x2 -x1)² +(y2 -y1)²)
For the given points, this becomes ...
d = √((0 -2)² +(9 -0)²) = √(4+81) = √85
d ≈ 9.2
The distance between A and B is about 9.2 units.
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Answer:
Step-by-step explanation:
The standard form for the equation of a circumference is:
Where:
(a, b) is the center of the circumference
r is the radius
In this problem we have the equation of the following circumference, and we want to convert it to the standard form:
The first thing we must do to transform this equation into the standard form is to use the square completion technique.
The steps are shown below:
1. Group all the same variables:
2. Take the coefficient that accompanies the variable x. In this case the coefficient is 10. Then, divide by 2 and the result elevate it to the square.
We have:
3. Add on both sides of the equality the term obtained in the previous step:
4. Factor the resulting expression, and you will get:
Write the equation in the standard form:
Then, the center is the point (5, 0) and the radius is r = 2.
Observe the attached image
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17-20: The important bit of information here is that you replace the first ball. So, the first and second pick follow the exact same probability distribution, because they basically are two repetitions of the same experiment. So, for example, in ex. 17, the first ball is even with probability 15/30 = 1/2 (there are 15 even balls out of 30). Then, you have again probability 15/30 = 1/2 to pick an odd ball (there are also 15 odd balls out of 30). So, the probability of picking an even ball, replace it, and pick an odd ball is
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