Answer:
C is 5x+13 D is 5x+12
Step-by-step explanation:
expand brackets
A. Half of the original number\
Answer: 
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Explanation:
Use the pythagorean trig identity
and plug in the fact that 
Isolating sine leads to
. I'm skipping the steps here, but let me know if you need to see them.
The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.
Therefore,

Answer:
Given equation are:
......[1]
.....[2]
- The two lines are parallel lines then their slopes will be equal.
- When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.
Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.
Slope
of equation of line in [1] is;
then;

Slope
of equation of line in [2];
Add both sides 2x we get;
-2x + 8y + 2x = 2x + 4
Simplify:
8y = 2x +4
Divide both sides by 8 we get;

then;

Therefore, the given two lines are neither parallel nor perpendicular.
Answer:
Option 4: r ≥ 6
Step-by-step explanation:
5(6+3r) + 7 ≥ 127
30 + 15r + 7 ≥ 127
37 + 15r ≥ 127
15r ≥ 90
r ≥ 6