Answer:
20x^2−2x−6
Step-by-step explanation:
(4x+2)(5x+−3)
=(4x)(5x)+(4x)(−3)+(2)(5x)+(2)(−3)
=20x2−12x+10x−6
=20x2−2x−6
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
Answer:
x=22
Step-by-step explanation:
2x-40+8x=180
10x=220
x=22
A)
The formula for the distance in a given time, is x = vt - 0.5gt^2
where x is the distance
v is the initial velocity, given as 64 ft/s
g is the acceleration due to gravity which is equal to 32 ft/s^2
t is the time
Now you have:
x = 64t - 0.5(32)t^2
Simplify:
x = 64t -16t^2
Rearrange this so the exponent is first:
h(t) = -16t^2 +64t
B) See attached picture:
C) Maximum height was 64 feet. It reached maximum height in 2 seconds and total time in the air was 4 seconds.