4/5 is blue then 1/5 is white
1/5 * 7.9 = 7.9 / 5 = 79/50 as a fraction 79/50 = 1.58 pints of white
3) x^2 -2x + y^2 + 6y = 6 Arrange into standard circle equation form
(x-1)^2 + ( y+3)^2 = 6 +1 + 9
6+ 1 + 9 = 16 = r^2
Area of a circle = pi r^2 = pi (16) = 16 pi units2
2 ) -2x^2+8x-15 re-arrange to vertex form
-2 (x^2 - 4x) -15
-2 ( x-2)^2 - 7 vertex = 2, -7
1.) x = y^2 -8y + 13
re-arrange to vertex form
x = (y-4)^2 -3 vertex is -3,4
I think it is 60.....but here is another way.....it is an isocoles triangle ....break it into two right triangles then 1/2 b * h for the two triangles and add them
You don't have the height of the triangle.....you only have the side lengths
are you familiar with Heron's formula ? Use it to find the area of a triangle with only the 3 side lengths
d = 8r this is given in the Question
re-arranged as 1/8 d = r
d = r+ 42 sub in the red equation
d = 1/8d + 42
7/8 d = 42
d = 42 * 8/7 = 48 erasers
There are 40 cards with numbers
20 are even numbers out of 52 cards
20/52 = 5/13
d = 7k
then
d-12 = k + 12 sub in the top equation
7k -12 = k + 12
6k = 24
k = 4 initially then k got 12 more = 16 and they both had the same amount for a total = 32 marbles
60 inches * 2 1/2 = 150 inches
12 inches to a foot
150 / 12 = 12.5 ft