Answer:
-3x+4y=-16
Step-by-step explanation:
Answer:
Common factors of 18 & 32: 1, 2
Step-by-step explanation:
1 x 18 = 18
1 x 32 = 32
2 x 9 = 18
2 x 16 = 32
~
9514 1404 393
Answer:
b. x = π/2, x = 3π/2
Step-by-step explanation:
The maximum is found where the argument of the cosine function is a multiple of 2π.
2x -π = 2nπ
2x = (2n+1)π . . . . . . . add π
x = (2n+1) · π/2 . . . . . divide by 2
x = {π/2, 3π/2}
Answer:
Step-by-step explanation:
perimeter of a rectangle = twice the length plus twice the width
P = 2L + 2W equation 1 P = 86 ft
Given the length is seven feet more than the width
L = W + 7 equation 2
Substitute equation 2 into equation 1
P = 2(W+7) + 2W = 86 ft
2W +14 + 2W = 86 ft
4W = 86 - 14
W = 72 / 4
W = 18 feet
Given:
Cylinder = radius 2cm ; height 4cm
graduated cylinder = radius 3cm w/ liquid
Volume of a cylinder = π r² h = 3.14 * (2cm)² * 4cm = 50.24 cm³
Volume of a cylinder = Volume of the graduated cylinder
50.24 cm³ = 3.14 * (3cm)² * h
50.24 cm³ = 28.26 cm² * h
50.24 cm³ / 28.26 cm² = h
1.78 cm = h
<span>The liquid rises by 1.78 cm in the graduated cylinder.</span>