Answer:
x = -2
Step-by-step explanation:
- 3 x - 6x = -18x
- 4 - 18x + 9 = 41
9 - 4 = 5
- 18x + 5 = 41
- 18x = 41 - 5
- 18x = 36
36 divided by -18 is -2
Answer:
73 degrees.
Step-by-step explanation:
So, let's see the information provided in the question.
At 8 AM, the thermometer was reading -5 degrees.
At 12:30 PM, the temperature has increased by 11 degrees, so it's now +6 degrees outside.
Inside Susan's house, the temperature is 7 degrees more than 11 times the outside temperature, at 12:30 PM.
So, we know the outside temperature at 12:30 PM is +6 degrees.
11 times 6 = 66 degrees.
Then we add the additional 7 degrees, to get a total of 73 degrees.
So to do this one, you have to do the problem backwards!
The equation looks like this with everything plugged in:
272.2 = 2(3.14)r
You are looking for r, so start dividing
272.2 = 2(3.14)r
136.1 = (3.14)r
43.3 = r
Therefore the radius is about 43.3 in.
I hope I helped!
Answer:
First option: 
Second option: 
Fourth option: 
Step-by-step explanation:
Rewrite each equation in the form
and then use the Discriminant formula for each equation. This is:

1) For
:

Then:
Since
this equation has no real solutions, but has two complex solutions.
2) For
:

Then:
Since
this equation has no real solutions, but has two complex solutions.
3) For
:

Then:
Since
this equation has one real solution.
4) For
:
Then:
Since
, this equation has no real solutions, but has two complex solutions.