Velocity of the ring wraiths relative to the air:
The speed 
is what we want to find - this is the speed at which the wraiths are flying in the air.
(Note: 
denotes velocity, while 
denotes speed)
Velocity of air relative to the ground:
The ring wraiths want their trajectory to be due north, which means their velocity relative to the ground should be
To an observer on the ground, 
is the speed at which the wraiths would appear to be moving in the air.
The relative velocities satisify
The answer is 50,51 and 52
Answer:
Jumper, y = 172
Shirt, x = - 105
Step-by-step explanation:
Let :
Shirt = x
Jumper = y
5x + 4y = 163 - - (1)
3x + 2y = 29 - - - (2)
Multiply (1) by 3 and (2) by 5
15x + 12y = 489 - - - (3)
15x + 10y = 145 - - - (4)
Subtract :
12y - 10y = 489 - 145
2y = 344
y = 344 / 2
y = 172
Put y = 172 in (3)
15x + 12(172) = 489
15x + 2064 = 489
15x = 489 - 2064
15x = - 1575
x = - 105
The values ;
Jumper, y = 172
Shirt, x = - 105
We weren't supposed to obtain a negative value, kindly check if the parameters given are correct.
Answer:
y = - 3x - 3
Step-by-step explanation:
the equation of a linear function in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (6, -21) ← 2 points from the table
m = 
= 
= - 3
y = - 3x + b ← is the partial equation
To find b substitute any other point from the table into the partial equation
using (2, - 9), then
- 9 = - 6 + b ⇒ b = - 9 + 6 = - 3
y = - 3x - 3 ← linear relationship
Answer: 87.5
Step-by-step explanation:
Triangle area = base * height / 2
25 * 7 = 175
175/ 2 = 87.5
