Answer:
free points
Step-by-step explanation:
Please include a picture!!!!
Answer:
10
Step-by-step explanation:
Given that:
Point X = (3, 2)
Point Y = (3, - 8)
Distance of point X to Y:
Distance = √(x2 - x1)^2 + (y2 - y1)^2
X1 = 3 ; y1 = 2 ; x2 = 3 ; y2 = - 8
Distance = √(3 - 3)^2 + (-8 - 2)
Distance = √(0)^2 + (-10)^2
Distance = √0 + 100
Distance = √100
Distance = 10
Answer:27 pieces were sold at the original price.
63 pieces were sold at the new price
Step-by-step explanation:
Let x represent the number of pieces of pottery that was sold at the original price.
Let y represent the number of pieces of pottery that was sold at the new price.
They sold some of their pottery at the original price of $9.50 for each piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x
They later decreased the price of each piece by $2. This means that the new price was 9.5 - 2 = $7.5
This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y
If they sold all 90 pieces and took in $729, then the equations are
x + y = 90
9.5x + 7.5y = 729 - - - - - - - - - -1
Substituting x = 90 - y into equation 1, it becomes
9.5(90 - y) + 7.5y = 729
855 - 9.5y + 7.5y = 729
- 9.5y + 7.5y = 729 - 855
- 2y = - 126
y = - 126/- 2 = 63
Substituting y = 63 into x = 90 - y, it becomes
x = 90 - 63 = 27
