Answer: Quadrant 1 (northeast quadrant)
=================================================
Explanation:
Add on 360 degrees to do a full rotation
-302+360 = 58
So angles -302 degrees and 58 degrees are pointing in the same direction. These angles are in quadrant 1, which is the northeast quadrant
Note: because the angles -302 and 58 point in the same direction, we consider these angles to be coterminal.
Answer: B) Infinitely many solutions; both equations are equivalent
==============================================================
Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
We will need a little more to answer on that that please.
Answer:
5) y=5
6)x=7
7)a=18
Step-by-step explanation:
5) y= any number will work. don't add a variable like x
6)x= any number will work. don't add a variable
My work for 7 is in the picture. If you'd like me to explain more for 7 lmk :)
Step-by-step answer:
The domain of log functions (any legitimate base) requires that the argument evaluates to a positive real number.
For example, the domain of log(4x) will remain positive when x>0.
The domain of log_4(x+3) requires that x+3 >0, i.e. x>-3.
Finally, the domain of log_2(x-3) is such that x-3>0, or x>3.
