Answer:
see below
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 d
r = 1/2(4) = 2 inches
The circumference is given by
C = 2 * pi * r
C = 2 * pi * 2
C = 4 pi inches
Using 3.14 as an approximation for pi
C = 12.56 inches
C 8/16 Square inches
8 x (1/4)^2 - Because you need to find the area to times it by 8
8 x 1/16
8/16 (or 1/2) Square inches
Answer:
x =2 y= 8
Step-by-step explanation:
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19
I'm going to assume the given equation equals zero..
So, If we add subtract 19 from both sides of the equation we get the perfect square.
4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0
for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)
Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.
