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The equation of the perpendicular bisector of BC with B(-2, 1), and C(4, 2) is y = 7.6 - 6•x
<h3>Which method can be used to find the equation of the perpendicular bisector?</h3>The slope, <em>m</em>, of the line BC is calculated as follows;
- m = (2 - 1)/(4 - (-2)) = 1/6
The slope of the perpendicular line to BC is -1/(1/6) = -6
The midpoint of the line BC is found as follows;
The perpendicular bisector is the perpendicular line constructed from the midpoint of BC.
The equation of the perpendicular bisector in point and slope form is therefore;
(y - 1.5) = -6•(x - 1)
y - 1.6 = -6•x + 6
y = -6•x + 6 + 1.6 = 7.6 - 6•x
Which gives;
- y = 7.6 - 6•x
Learn more about equations of perpendicular lines here:
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Answer:
Step-by-step explanation:
We are given the following in the question:
Cost of one cupcake = $3.50
Cost of one fruit tart = $3
Total money Harry have = $50
Harry bought 8 cupcakes and fruit tarts.
We have to write the inequality giving relation between the total number of cupcakes and fruit tarts Harry can buy the amount of money he has.
Total cost of purchase =
= Total cost of cupcakes + Total cost of fruit tarts
Now, this total cost of Harry's purchase should be less than than equal to $50.
is the required linear inequality.