Answer:
Step-by-step explanation:
law of sines
Sin(A) / a = Sin(B)/b
where A = 24
a=BC
B= 59
b =AB
then
Sin(24)/a =Sin(59)/19
0.4067366 / a = 0.8571673 / 19
0.4067366 / a = 0.045114
0.4067366 / 0.045114 = a
9.015 = a
BC = 9.0 mi
Insufficient data please indicate the question
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.
X^4 - 5x^2 - 36 = 0
(x^2 - 9)(x^2 + 4) = 0
(x-3)(x+3)(x-2)(x+2) = 0
x = -3, -2, 2, 3
Answer:
Step-by-step explanation:
Volume of a rectangular prism
V=l*w*h
V=6*3.5*2.5=52.50 ft^3
