The right approach to this problem is to first determine the real dimension by using the given scale factor.
width : (2.5 ft) x 250 = 625 ft
length: (2.0 ft) x 250 = 500 ft
The area of a rectangle is calculated by multiplying the length and the width.
A = (625 ft)(500 ft) ]= 312,500 ft²
Thus, the area of the actual castle in square feet is 312,500.
Answer: (2, 10)
Explanation: Graphing gives you a negative slope that intersects the first quadrant. The point hits that line perfectly
Answer:
D) LM=12; QP=8
Step-by-step explanation:
12/18=(x-1)/(x+3)
cross multiply
12x+36=18x-18
36+18=18x-12x
54=6x
9=x
LM = x+3 = 9+3 = 12
QP = x-1 = 9-1 = 8
Answer:
x = 3/2 ± √(9/4 − 1/2 y)
Step-by-step explanation:
y = 6x − 2x²
First, factor out the leading coefficient:
y = -2 (x² − 3x)
Complete the square.
y = -2 (x² − 3x + 9/4 − 9/4)
y = -2 (x² − 3x + 9/4) + 9/2
y = -2 (x − 3/2)² + 9/2
Solve for x.
-1/2 y = (x − 3/2)² − 9/4
9/4 − 1/2 y = (x − 3/2)²
±√(9/4 − 1/2 y) = x − 3/2
x = 3/2 ± √(9/4 − 1/2 y)
Answer:
1/4
Step-by-step explanation:
