Given:
Vertices of a triangular garden:
A(4,2)
B(2,4)
C(6,4)
Scale factor = 0.5
Find the distance between points:
d = √(x2-x1)^2 + (y2-y1)^2
dAB = 2√2
dBC = 4
dCA = 2√2
A similarly shaped garden is to be created using the scale factor, 0.5:
A' = 2√2 / 0.5 = 4√2
B' = 4 / 0.5 = 8
C' = 2√2 / 0.5 = 4√2
Answer: Alexandra has greater weekly expenses, and they charge the same price for one kilogram of spices.
Step-by-step explanation: Got the question wrong on khan academy. I guide others to a treasure I cannot possess.
(1) 3x+6y-12z=36
(2) x+2y-4z=12
(3) 4x+8y-16z=48
The first equation (1) is the second equation (2) multiplied by 3:
(2) x+2y-4z=12→3(x+2y-4z=12)→3x+6y-12z=36 (1)
The third equation (3) is the second equation (2) multiplied by 4:
(2) x+2y-4z=12→4(x+2y-4z=12)→4x+8y-16z=48 (3)
The equations are linearly dependent, Then the system of equations is dependent, and then consistent too.
Answer:
36 cm
Step-by-step explanation:
arc length = r × θ
32π = r × 8/9π
r = 36
Answer: f(-3) = 81
Step-by-step explanation:
f(-3) = 9(-3^2)
f(-3) = 9(9)
f(-3) = 81