Answer:
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Answer:
D(4,-3)
Step-by-step explanation:
Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)
Let the coordinate of the fourth vertex be D(x,y).
We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.
The diagonals are BD and AC
Midpoint of BD = Midpoint of AC
The coordinates of the fourth vertex is D(4,-3)
Answer:
H. the number of orchestra seat is 900
Step-by-step explanation:
Step one:
let the number of orchestra seat be x
and balcony seat be y
cost of orchestra= $50 each
cost of balcony =$40 each
total tickets= 1500
x+y= 1500----------1
amount earned= $69000
50x+40y=69000--------2
The system of equation for the situation is
x+y= 1500----------1
50x+40y=69000--------2
from 1, x=1500-y
put this in equation 2
50(1500-y)+40y=69000
75000-50y+40y=69000
-10y=69000-75000
-10y=-6000
divide both sides by -10
y=-6000/-10
y=600
put y= 600 in equation 1
x+600= 1500
x=1500-600
x=900
From the information given, the original price per pound was increased by $ 0.75
Let the original price be x, so the new price is x + 0.75
Sam bought 3 pounds of apples at new price and it cost him 5.88
so we form an equation:
3 (x + 0.75) = 5.88
3x + 2.25 = 5.88
3x = 5.88 - 2.25
3x = 3.63
x = 3.63 / 3
x = 1.21
Therefore the original price per pound is 1.21 dollars
