Point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1
1 answer:
Answer:
The x-coordinate of point P is 6
Step-by-step explanation:
we have
A (2,3) and B (8,0)
we know that
Point P portions the segment AB in the ratio 2 to 1
so
and
where
AP_x represent the distance between the points A and P in the x-coordinates
AB_x represent the distance between the points A and B in the x-coordinates
The x-coordinate of P is equal to
where
A_x represent the x-coordinate of A
substitute the values
therefore
The x-coordinate of point P is 6
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Answer:
x ≥ 5
y ≥ 10
3x + 2.3y ≥ 60
Step-by-step explanation:
Lets the number of men's shoes he sells be x and women's shoes be y.
For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .
He needs to sell atleast 10 women's shoes and 5 men's shoes.
Also he needs to make atleast $60 per week.
x ≥ 5
y ≥ 10
3x + 2.3y ≥ 60
These are are the 3 required inequalities.
Now we will see an example.
If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.
He will make a total profit = =$76