One of the equations for a circle is (x - h)² + (y - k)² = r² where (h, k) are the center and r is the radius.
So after substitution:
(x + 6)² + (y - 2)² = 100
Notice the equation has the opposite of h and k and 100 is the result of squaring 10.
The correct answer it’s a
R - Right Handed
L - Left Handed
R = 9L ( the number of right handed kids is equal to having 9*number of left handed kids)
9L + L = 30 ( since total number of people in class is 30)
10L = 30
( Divide by 10 both sides )
L = 3
so... There are 3 Left Handed kids and 27 Right Handed kids ( since R = 9L , R = 9(3) = 27)
Hope this helped!
Equilateral triangle with the side 4 cm and h=2.5 cm
In equilateral triangle all sides are equal
so all sides are equal in the base of the prism
lateral area of the prism = Perimeter of the base * height
Perimeter of the base equilateral triangle = side + side + side
lateral area of the prism =(side + side + side) * height
= (4+4+4) * 2.5
= 
lateral area of the prism =
I set it up as a ratio with hours on the top and the fraction of the job on the bottom. It looks like this: 5/(2/3) / x/1, because 1 is the whole job if 2/3 is only a fraction of it. Cross multiplying gives you 2/3x = 5. Solving for x gives you that it will take 7.5 hours to complete a whole job if it takes 5 hours to complete 2/3 of it.
