Answer:
10w+15
Step-by-step explanation:
-6w+6w+10w=10w
6+9=15
hope this helps. Happy Holidays
1. The time taken for the water to fall that much is 0.2 s
2. The initial speed of the water is 4 m/s
<h3>1. How to determine the time </h3>
- Height (h) = 20 cm = 20 / 100 = 0.2 m
- Acceleration due to gravity (g) = 9.8 m/s²
- Time (t) =?
h = ½gt²
0.2 = ½ × 9.8 × t²
0.2 = 4.9 × t²
Divide both side by 4.9
t² = 0.2 / 4.9
Take the square root of both side
t = √(0.2 / 4.9)
t = 0.2 s
<h3>2. How to determine the initial speed</h3>
- Horizontal distance (s) = 80 cm = 80 / 100 = 0.8 m
- Time (t) = 0.2 s
- Initial speed (u) =?
s = ut
Divide both sides by t
u = s / t
u = 0.8 / 0.2
u = 4 m/s
Learn more about motion under gravity:
brainly.com/question/20385439
#SPJ1
The equation would be y = -5/2x - 14. Since the slope and a coordinate pair was given, I used point slope form to figure out the equation.
Work:
y - 6 = -5/2 (x+8)
y - 6 = -5/2x - 20
+ 6 +6
______________
y = -5/2x - 14
All of these equations will be set up as: h(t) =
+v₀t + h₀ where g represents gravity, v₀ represents initial velocity, and h₀ represents initial height. When working with ft/sec, g = 32. So, -g/2 = -16
1a) Length of time to reach its maximum height means you are looking for the x-value of the vertex (aka Axis Of Symmetry).
h(t) = -16t² + 160t
AOS: x =
=
= 5
Answer: 5 sec
1b) Length of time to fall to the ground means you are looking for the x-intercept when height (y-value) = 0.
h(t) = -16t² + 160t
0 = -16t² + 160t
0 = -16t(t - 10)
0 = -16t 0 = t - 10
t = 0 t = 10
t = 0 is when it started, t = 10 is when fell to the ground.
Answer: 10 sec
2c) Same concept as 1a
h(t) = -16t² + 288t
AOS: x =
=
= 9
Answer: 9 sec
2d) Same concept as 1b
h(t) = -16t² + 288t
0 = -16t² + 288t
0 = -16t(t - 18)
0 = -16t 0 = t - 18
t = 0 t = 18
Answer: 18 sec
3e) Same concept as 1a
h(t) = -16t² + 352t
AOS: x =
=
= 11
Answer: 11 sec
3f) Same concept as 1b
h(t) = -16t² + 352t
0 = -16t² + 352t
0 = -16t(t - 22)
0 = -16t 0 = t - 22
t = 0 t = 22
Answer: 22 sec
I assume you want us to subtract 2x+4 from -4x-6?
Well since you weren't specific I'll do that.
<span><span>−6x−10</span><span>
</span></span>