A parabola, a graph of a quadratic function, cannot have a maximum vertex and a minimum vertex at the same time because of the shape of the graph. A parabola is a u-shaped graph. The vertex of the parabola is the point where the u changes direction; if it was increasing, it starts to decrease, and if it was decreasing, it starts to increase. Since a parabola only changes direction once, there will either be a minimum or a maximum, not both.
Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to

The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:

d)The trig function cosine is equal to

The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:

d)The trig function tangent is equal to

The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:

-2/3-(-1 1/3) =
-2/3 + 1 1/3 =
4/3 - 2/3 =
<em>2/3</em>
12 - (-5) =
12 + 5 =
<em>17</em>
-1 - (-6) =
-1 + 6 =
6 - 1 =
<em>5</em>
-3 3/8 - 7/8 =
27/8 - 7/8 =
20/8 =
2 4/8 =
<em>2</em><em> </em><em>1/2</em>
3-5y= 2x
-5y= 2x-3
y= (-2/5)x + 3/5
y + 2 = (-2/5)(x + 3)
y + 2 = (-2/5)x - (6/5)
y + 10/5 = (-2/5)x - 6/5
y = (-2/5)x - 16/5 is the answer