Ceiling Function is the least integer that is greater than or equal to x.
Answer:
D) 5
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes.
The line:
has a slope of
as it is in y=mx+b form, where m is the slope, and b is the y-intercept.
Since the slope is
, we see that the negative reciprocal slope is
, as
is the reciprocal (flip the numerator and denominator).
From here, we can use point slope form:
, where
is the point. In this case, (3, 1) is the point.
Thus, we have:
as our final equation.
Simplifying: 
And:
, which gives us the y-intercept to be 5.
Let me know if this helps!
First, make sure you convert both equations into standard form. Your two equations would be 2x+2y=38 and -x+y=3. Then multiply the bottom by 2. So your new equations would be 2x+2y=38 and -2x+2y=6. The x would cancel out and you would continue solving for y. y would equal 11 and then you would plug it back into an original equation. When you plug and solve for x, you would get x=8. So your answer would be (8,11)
Answer:
10 and 7
Step-by-step explanation:
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Answer:
Step-by-step explanation:
-0.013 = 
Reciprocal = 