Answer:
b. 44/117
Step-by-step explanation:
Calculate tan(x) and tan(y) - can use calculator, or use Pythagoras' Theorem to calculate the length of the 3rd side of the right triangle (as you already have the side opposite to the angle and the hypontenuse, since sin(x) = O/A) and then determine tan(x) using tan(x) = O/A
Then use these values in the tan sum angle trig identity formula.
see attachment for step-by-step
Both students are correct; the slope should be -1, passing through through (4,2) with a y-intercept of 6.
Answer:
The answer to your question is: distance = 15.55 units
Step-by-step explanation:
Data
A (-3, 4)
B (8, -7)
Formula
distance = √((x2-x1)² + (y2-y1)²)
Substitution
distance = √((8- -3)² + (-7-4)²)
distance = √((8 + 3)² + (-7-4)²)
distance = √((11)² + (-11)²)
distance = √(121 + 121)
distance = √242
distance = 15.55 units
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Vertex: (1/2,484)
Focus: (1/2, 30975/64)
Axis of Symmetry: x=1/2
Directrix: y=30977/64
x l y
1/2 l 484
1 I 480
A) How long did it take for Jason to reach his maximum height? -b/2a=-16/-32= 1/2s
B) What was the highest point that Jason reached?
484ft ~h(ois)
C) Jason hit the water after how many seconds?
roots -5&6 so 6s
Oh and by the way there is some seriously cool cliff jumps in Acapulco, I'm dying to go.
<u>1/2s, 484ft, 6s</u>
Slope =(y2-y1)/(x2-x1)
=(-4-5)/(-2-3)
=-9/-5
=9/5
