Answer:
The radius is r=5 units
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to
where
(h,k) is the center and r is the radius
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
therefore
The center is the point (6,-3) and the radius is r=5 units
90 = right angle
Any angle bigger than 90 is obtuse and any angle smaller than 90 is acute
Answer:
y = 2x - 3
Step-by-step explanation:
We are given the slope, m = 2
Our standard formula of a line is y = mx + b, so we can substitute for the x and y values of the point (3, 3). If you did not know, the x-value and the y-value are both 3 because the point (3, 3) = (x, y).
So, our equation looks like this:
3 = (2)(3) + b
We can solve for b:
3 = 6 + b
b = -3
And now we have our equation of a line:
y = 2x - 3
Let the number of knife be x.
Knife = x
Spoon = 2x
forks = 2x
Total = 30
x + 2x + 2x = 30
5x = 30
x = 6
Knife = x = 6
forks = 2x = 12
Spoon = 2x = 12
Answer: There are 12 forks.
