Answer:
Part a) The inequality that represent the situation is
Part b) The possible lengths of the shortest piece of wire are all positive real numbers less than or equal to ![35\ inches](https://tex.z-dn.net/?f=35%5C%20inches)
Step-by-step explanation:
Let
x------> the length of the first wire
3x---> the length of the second wire
2(3x)=6x -----> the length of the third wire
Part a) WRITE AN *INEQUALITY* THAT MODELS THE SITUATION
we know that
The inequality that represent the situation is
![x+(3x)+(6x) \leq 350](https://tex.z-dn.net/?f=x%2B%283x%29%2B%286x%29%20%5Cleq%20350)
Part b) WHAT ARE THE POSSIBLE LENGTHS OF THE SHORTEST PIECE OF WIRE?
we know that
The shortest piece of wire is the first wire
so
Solve the inequality
![x+(3x)+(6x) \leq 350](https://tex.z-dn.net/?f=x%2B%283x%29%2B%286x%29%20%5Cleq%20350)
![10x \leq 350](https://tex.z-dn.net/?f=10x%20%5Cleq%20350)
Divide by 10 both sides
![x \leq 35\ in](https://tex.z-dn.net/?f=x%20%5Cleq%2035%5C%20in)
The possible lengths of the shortest piece of wire are all positive real numbers less than or equal to ![35\ inches](https://tex.z-dn.net/?f=35%5C%20inches)
Answer:
33000
Step-by-step explanation:
Substituting 250 for x and -120 for y, we get:
(250)^2 + 2(250) - (250)(120) = 62500 + 500 - 30000, or
32500 + 500, or 33000
Answer:
B. (-7 +/-√33) / 4
Step-by-step explanation:
2x2 + 7x + 2 = 0
x = [-7 +/- √(7^2 - 4*2*2)] / 2*2
x = -7/4 +/- √(33) / 4
= (-7 +/-√33) / 4
Answer:
![{8}^{ \frac{x}{3} }](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B%20%5Cfrac%7Bx%7D%7B3%7D%20%7D%20)
Step-by-step explanation:
Hope that this is helpful.
Have a great day.
Answer:
126.8
Step-by-step explanation:
angles opposite each other when two lines cross are always equal