Answer:
The center is the point (3,1) and the radius is 3 units
Step-by-step explanation:
we know that
The equation of a circle in standard form is equal to

we have

Convert to standard form
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square twice. Remember to balance the equation by adding the same constants to each side.


Rewrite as perfect squares

The center is the point (3,1) and the radius is 3 units
X=13, Subtract 9, And add 6 and 19 To both sides. then Divide by three
Answer:
Step-by-step explanation:
Answer: A.) 2 <= X <= 6
B.) 13 < = X < = 39
Step-by-step explanation:
Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week
And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.
Let X represent the number of days an employee can work per week.
According to the first statement,
X < = 6
According to the second statement,
X >= 2
An inequality to represent the range of days an employee can work will be
2 < = X <= 6
To represent the range in hours, first convert the number of days to hour. Given that an employee can work
1 day = 6.5 hours
2 days = 2 × 6.5 = 13 hours
5 days = 6 × 6.5 = 39 hours
Therefore, the range will be
13 < = X < = 39
12 & 35 Third side is hypotenuse = 37
28 & 45 Third side is hypotenuse = 53
20 & 29 Third side is a leg = 21