Answer:
1. 5 – x = 8 , x = -3
2. -1 = x – 2 , x = 1
3. -3x = 9 , x = -3
4. -10 = -5x , x= 2
Step-by-step explanation:
Answer:
16, 32
Step-by-step explanation:
We need to solve for t in this compound inequality. Let's do that!
11 < 7 + 0.25t ≤ 15
4 < 0.25t ≤ 8
16 < t ≤ 32
Therefore, we know that it will take Clara more than 16 weeks and up to and including 32 weeks to grow out her hair.
Answer:
a) See the file below, b) ![s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx](https://tex.z-dn.net/?f=s%20%3D%20%5Cint%5Climits%5E%7B0.5%5Cpi%7D_%7B-0.25%5Cpi%7D%20%7B%5B%5Cleft%28%203%5Ccdot%20%5Ccos%20t%5Cright%29%5E%7B2%7D%2B%5Cleft%28-5%5Ccdot%20%5Csin%20t%20%5Cright%29%5E%7B2%7D%5D%7D%20%5C%2C%20dx)
, c) 
Step-by-step explanation:
a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.
b) The arc length formula is:
c) The perimeter of that arc is approximately:
Alright, so you can try to study hard and gain a passing grade (A+) for the other two quarters.
