Answer:
Center of circle: (1, -2)
Radius: √6
Step-by-step explanation:
First, we need to isolate the constant:
Then, we can divide the whole equation by 4:
Then, we can complete the square(reminder: (a+b)^2 = a^2 + 2ab + b^2)
Now that we got the standard equation of the circle, we can find the center and radius by using the equation , where (h, k) is the coordinate of the center, and r is the radius.
Therefore, the center of the circle is (1, -2), and the radius of the circle is √6.
Answer:
a:b:c = 6:15:20
Step-by-step explanation:
Given;
a:b:c is determined as follows;
a:b = 2:5 and b:c = 3:4
find the common factors in both equation = b = 5 and 3
Then, multiply the first equation by 3 and second equation by 5, so that value of b in both equations will be the same.
a:b = 6:15
b:c = 15:20
Thus, a:b:c = 6:15:20
Answer: D
Step-by-step explanation:
12 and 14 share the factor 2 so the furthest it can be simplified to is 6/7. this is not equal to 4/7
First, you can multiply the numbers to the parenthesis:
5(4c-2d) = 20c - 10d
and
-6(d-3c) = -6d + 18c
now you have:
20c - 10d + 2d - 6d + 18c = (20c + 18c) + ( -10d + 2d - 6d ) = 38c - 14d and that is the simplest form :))))
I hope this is helpful
have a nice day
Answer:
The answer is 75 inches.
Step-by-step explanation:
If Alice is 10 inches, she is 2/3 as tall as the door. At her regular height, to be 2/3 as tall as the door the door would have to be 75 inches high.