We are given with the free-fall function expressed as y = –16t2 + 224. To get the time of fall, equate y equal to zero as this means the stone has already reached the bottom. Doing this, t is equal to square root of 14 or equivalent to 3.74 seconds
Step-by-step explanation:
To find slope : y2- y1 / x2 - x1
we have ( -5 , 1 ) which is ( x1 , y1 )
and ( -2 , 7 ) is ( x2 , y2 )
so; 7 - 1 / -2 - (-5)
6/3
= <u>2</u>
Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
