3 and 2 would be 122 since 3 and the 58° are a linear pair making them add up to 180. And 3 and 2 are vertical so they would be congruent.
4 would then have to be 38 since the three angles would have to measure up to 180.
And the 1 would have to be 36 with the same reasoning as before.
Disclamier (I might have done some math wrong since I did it in my head.)
Given that 
and 
, we can say the following:
Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).
Thus, let's set what is under both square roots to be greater than 0:
Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.
Now, let's look back at the function entirely, which is:
Since 
is on the bottom of the fraction, we must say that 
, since the denominator can't equal 0. Thus, we must exclude 
from the domain.
Thus, our answer is Choice C, or 
.
<em>If you are wondering why the choices begin with the 
symbol, it is because this is a way of representing that 
lies within a particular set.</em>
Answer:
Step-by-step explanation:
The domain of the graph is all real numbers.
The answer is the second choice, or B; 240 ft^2.
You have to find the area of all four triangles and just add those all together.
Two of the triangles have an area of
5*16=80
Multiply that by two
80*2=160
The other two smaller triangles have an area of
8*5=40
Multiply that by 2 also
40*2=80
Add 160+80 and the answer is 240.
With the facts you got here, you can make the following equation:
x*(x+2)=24
x^2+2x=24
x^2+2x-24=0
Then you can use the following formula (which you might have seen before):
x = (-b +/- sqrt(b^2-4ac))/2a
where
ax^2+bx+c=0
(-2 +/- sqrt(4+96))/2
(-2 +/- 10)/2
x_1 = 4
x_2 = -6
