7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
4/25 = 0.16. 0.16 is equal to 16%
Answer:
Option B.
Step-by-step explanation:
In the question the number categories on the spinner are not given.
Consider there are 5 different categories on the spinner.
A = Spinner land on "Action".
So, probability of land on "Action" is

Number of spins, n= 60 times
The expected number of land on "Action" is



Therefore, the correct option is B.
Answer:

Step-by-step explanation:
Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.
You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached. As you can see:

And we can find a easily using pythagorean theorem:

Solving for a:


Therefore:
