There exist an abbreviation that ALL - S - T - C where all trigonometric functions in first quandrant are positive. S, T, and C are the first letters of the trigonometric functions that are positive in quadrant 2, 3, and 4, respectively. This also means that in the same quadrant, their reciprocals are also positive. For the given above, it is in Quadrant 3 where T is positive and cosine is negative.
So since the vertex falls onto the axis of symmetry, we can just solve for that to get the x-coordinate of both equations. The equation for the axis of symmetry is 
, with b = x coefficient and a = x^2 coefficient. Our equations can be solved as such:
y = 2x^2 − 4x + 12: 
y = 4x^2 + 8x + 3: 
In short, the vertex x-coordinate's of y = 2x^2 − 4x + 12 is 1 while the vertex's x-coordinate of y = 4x^2 + 8x + 3 is -1.
Answer:
PR=8
ST=5
Step-by-step explanation:
2x=8
x=4
PR=2x=8
5z=2z+3
3z=3
z=1
ST=5z=5
Answer:
Your answer is D. 4/5 this is because of you had a whole pizza, and split it into five pieces, and somone takes 2 slices, there will be 3/5 of that pizza left, if they only took one, there would be 4/5, which is more pizza than a 3/5 of a pizza
Step-by-step explanation:
Answer:
r = - 13 / 15 inches/week
Step-by-step explanation:
The numerator is 13
and the denominator is 15, then we have
r = - 13 / 15 inches/week
r < 0 since the water level of the lake fell
