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.
<span>There are three undefined terms in geometry. These are points, line, and plane. Among the given choices, there is only one which is not an undefined term and that is ray. Ray is a part of a line that has an enpoint in one side and extends indefinitely on the opposite side. Hence, the answer is the second choice. </span>
Duration, time taken, the completion time
Answer:
35/20
Step-by-step explanation:
20 divided by 4 = 5
so our multiple is 5
5 x 4 = 20
so we have to do the same to the numerator
5 x 7 = 35
Simplified= 1 3/5
