Answer:
49.9
Step-by-step explanation:
90-40.1=49.9
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.
Answer:
<em>I've attached a picture of a unit circle with the quadrant labeled. </em>
<u>Calculate the degree of 5п 8 radians:</u>

<u>Locate the general location of 112.5° on the unit circle:</u>
It's between 120°(
) and 90°(
).
<u>Find the quadrant it lies in:</u>
Quadrant II
Answer:
He would be at the 15 yard line.
Step-by-step explanation:
The 40 yard gain would bring him to the 10 yard line (he caught it at the 50 yard line, so 50 - 40 = 10), but the 5 yards lost due to the tackle and push back would bring him to the 15 yard line (10 + 5 = 15).