Answer:
1. x=±4
2. t=±9
3. r=±10
4. x=±12
5. s=±5
Step-by-step explanation:
1. x^2 = 16
By extracting the square root on both sides
x=±4
2. t^2=81
Again, take the square root of each side
t=±9
3. r^2-100=0
r=±10
4. x²-144=0
We rewrite as x²=144
Applying square roots
x=±12
5. 2s²=50
s=±5 ..
To determine the total time taken for house cleaning is necessary. Given that Betsy cleans a portion of the house, which takes her 1 hour, we want to find out how long it takes her to clean the entire house. By applying the unitary method, we see that if she cleans part of the house in 1 hour, we can calculate the time required for 1 whole house.
Solution:
We know, g(x) = f(x) + k --------(1)
It is given that f(x) = 
(x+2)
and g(x) = (x+5)
Substituting f(x) and g(x) into equation (1):
→ (x+5) = (x+2) + k
→ ![\frac{1}{3}[x+5-x-2]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Bx%2B5-x-2%5D)
= k
→ k = 
Thus, the value of k is 1.
Answer:
2.5 seconds after the initial ball was struck.
Step-by-step explanation:
The height equations are:
At the point where the balls intersect, both heights are alike, therefore:
-16t² + 56t = -16t² + 156t - 248
-16t² + 56t + 16t² - 156t + 248 = 0
- 100t + 248 = 0
248 = 100t
t = 248/100
t = 2.48 ≈ 2.5
The result is 3.6y. By multiplying 0.3 by 12, we arrive at 3.6, and we include the variable y.
