Answer:
Work done = 73.575 J
Step-by-step explanation:
Given,
Mass (m) = 5 kg
Height (h) = 1.5 m
Gravity (g) = 9.81 m/s²
Work done = ?
Work done
= mgh
= 5 kg × 9.81 m/s² × 1.5 m
= 73.575 joule (J)
⊱─━━━━━━━━━⊱༻●
Hope it helps ⚜
Is there a picture to this question?
I'd suggest you sketch this situation. If you did, you'd likely see right away that the shortest distance back to the starting point would be the hypotenuse of the right triangle whose legs are of lengths 5 miles and 12 miles.
Apply the Pythagorean Theorem to solve this.
Answer:
Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds
Step-by-step explanation:
A = K + 6
T = K - 3
K + A + T = 2 min 39 sec or 159 sec
K + (K + 6) + (K - 3) = 159sec
3K + 3 = 159sec
3K = 156sec
K = 52 sec
A = 52 + 6 = 58 sec
T = 52 - 3 = 49 sec
Answer:
![y=-\frac{1}{4}x+2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7Dx%2B2)
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope of line S using line R (m)</u>
![y=-\frac{1}{4} x+3](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7D%20x%2B3)
We can identify clearly that the slope of the line is
, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be
. Plug this into
:
![y=-\frac{1}{4}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7Dx%2Bb)
<u>2) Determine the y-intercept of line S (b)</u>
![y=-\frac{1}{4}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7Dx%2Bb)
Plug in the given point (-4,3) and solve for b
![3=-\frac{1}{4}(-4)+b\\3=1+b](https://tex.z-dn.net/?f=3%3D-%5Cfrac%7B1%7D%7B4%7D%28-4%29%2Bb%5C%5C3%3D1%2Bb)
Subtract 1 from both sides to isolate b
![3-1=1+b-1\\2=b](https://tex.z-dn.net/?f=3-1%3D1%2Bb-1%5C%5C2%3Db)
Therefore, the y-intercept is 2. Plug this back into
:
![y=-\frac{1}{4}x+2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7Dx%2B2)
I hope this helps!