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horrorfan [7]
3 years ago
7

Find the center and radius of this circle x^2+y^2-6x-10y+30=0

Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Answer:

The circle's centre is at the position (3, 5), and it has a radius of 2

Step-by-step explanation:

First let's put it in a useful format by completing the squares:

x² + y² - 6x - 10y + 30 = 0

x² - 6x + y² - 10y = -30

x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25

(x - 3)² + (y - 5)² = 4

This tells us that the centre position is (3, 5) and the radius is √4, or 2

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Radium 226, which had been used for cancer treatment, decays with a half-life of 1622 years. suppose there is a 6 gram sample of
sveticcg [70]
This is a relatively simple half life calculation.
To go from 6 to 3 grams, 1622 years is required.
3 to 1.5 grams another 1622 years is required.
So, it undergoes exactly 2 half-lives or 3,244 years.
To see more about half-life click here:
http://www.1728.org/halflife.htm



3 0
3 years ago
Can you explain step by step for #15 and #16 I have a test on this tomorrow
RUDIKE [14]

Answer:

15.

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

x + y = 50.

There are  0.2x ml of salt in x ml of 20% saline and 0.1y ml of salt in 10% saline. There are 0.12\cdot 50=6 ml of salt in 50 ml of 12% saline. Thus,

0.2x+0.1y=6

15. We get the system of two equations:

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. Solve this system. From the first equation:

x=50-y

Substitute it into the second equation:

0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10

7 0
3 years ago
Whats 0 divide 0 i really want to know
Gelneren [198K]

Answer

N/A

Step-by-step explanation:

lets take a step into our imaginations, ok?

So when you divide, you're basically splitting the numerator into as many parts as the denominator.

imagine you have a chocolate bar, and it has 6 pieces and you want to split it evenly between your 3 friends.

you split it into three equal parts to get 2 pieces per person.

When you divide 0 by 0, your splitting 0 chocolate bars into 0 equal portions, which is why this problem isn't solvable.

4 0
3 years ago
What is the equation of the line whose slope is 20 and a y-intercept of 5
aleksandr82 [10.1K]
The answer is B because u always start of like that
3 0
3 years ago
PLEASE HELP PLEASE PLEASE PLEASE
sleet_krkn [62]

Answer:

oh no that's tough bro

hope you get through

8 0
2 years ago
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