Answer:
.
Step-by-step explanation:
A line that goes through
and
where
would have a slope of
.
The slope of the line that goes through
and
would thus be:
.
Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is
.
Thus, if
and
denote the slope of the first and second lines in this question,
since the two lines are perpendicular to one another. Since
, the slope of the first line would be:
.
Given that the first line goes through the point
, the point-slope equation of that line would be:
.
.
Substitute in
to find the
-coordinate of the point in question:
.
Answer:
53.3
Step-by-step explanation:
34^2=1156
41^2=1681
1156+1681=2837
Square root of 2837 is 53.26 which rounded to the nearest tenth is 53.3
Answer:

Step-by-step explanation:
- To know the value that y takes according to the inequation
, we must do some algebra. - First of all, we divide both terms by (-3), wich would change the direction of the inequality, as follow:
(at this point you should remember that dividing or multiplying an inequation by anegative number changes the direction of the inequality).. - This means that
. Then,we just have to add both sides 4, which yields
. - Then
, which means that, if we divide both sides by 5, we obtain the value of y:
(in this case, the direction of inequality does not change because 5 is possitive).
Answer:
b=
1
9
n+
−19
9
Step-by-step explanation: