y = ∛ (x + 6 - 3) = ∛ (x +3) -----------> graph this
(see attached)
Check: from formula above, when x = -3, y = 0
Check that this point exists on the graph... it does (check OK!)
edit reason: typo
Forces in direction x:
fx1 = 100 * cos (50) = 64.28
fx2 = 50 * cos (160) = - 46.99
The resultant is:
fx = fx1 + fx2 = 17.29
Forces in direction y:
fy1 = 100 * sine (50) = 76.60
fy2 = 50 * sine (160) = 17.10
The resultant is:
fy = fy1 + fy2 = 93.70
The magnitude of the resulting force is:
f = root (fx ^ 2 + fy ^ 2)
f = root ((17.29) ^ 2 + (93.70) ^ 2)
f = 95.28
The angle is:
theta = atan (fy / fx)
theta = atan (93.70 / 17.29)
theta = 79.55 degrees
Answer:
The direction and magnitude of the resultant force are:
f = 95.28 pounds at theta = 79.55 degrees
Over the x-axis: (x, y) (x, –y)
Over the y-axis: (x, y) (–x, y)
Over the line y = x: (x, y) (y, x)
Through the origin: (x, y) (–x, –y)
Answer:
D. 314 yds
Step-by-step explanation:
Given:
Diameter = 100 yds
Required;
Circumference of the circle
Solution:
Circumference of circle = πd
Plug in the value
Circumference = π × 100
= 314 yds (nearest whole number)
Answer:
a: AB is perpendicular to CD
b: AM is equal in length to BM