Answer:
A 404 mi
Step-by-step explanation:
If we designate the points of the triangle A, B, and C for the locations of the western station, eastern station, and balloon, respectively, we have the following:
∠CAB = 90° - 41° = 49°
∠CBA = 90° + 21° = 111°
∠ACB = 41° -21° = 20°
side "c" (opposite ∠ACB) is 148 miles
The distance we're asked to find is AC = b, the longest side of the triangle. The law of sines tells us ...
b/sin(B) = c/sin(C)
b = c·sin(B)/sin(C) = (148 mi)·sin(111°)/sin(20°) ≈ 403.98 mi ≈ 404 mi
For this case we must represent the following expression algebraically:
"eight more than the product of a number and two"
Let "x" be the variable that represents the unknown number
We have to:
the product of a number and two is represented as: 
Then, the full expression will be:
Thus, we use multiplication and addition.
ANswer:
Option C
QUESTION
Your equation is 2x+3y=2 and you need to find the slope.
EXPLANATION
There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.
Slope-intercept form is formatted like this:
y=mx+b
m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.
The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.
Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by 
, which means that is your answer.
Answer:
