Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
- d = 1720
- x = plane's speed
- y = wind speed
- t1 = 5 hours
- t2 = 4 hours.
Substitution
- d = (x + y) * t
- 1720 = (x + y) * 4
- 1720 = (x - y) * 5
Since the two distances are the same, you can equate the right hand sides.
- (x + y) * 4 = (x - y)*5 Remove the brackets.
- 4x + 4y = 5x - 5y Add 5y to both sides
- 4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
- 4x + 9y = 5x Subtract 4x from both sides
- 9y + 4x - 4x = 5x - 4x Combine
- 9y = x
Now use one of the given equations with the distance
- 1720 = (x + y)*4 Substitute 9y for x
- 1720 = (9y + y) * 4 Combine
- 1720 = 10y * 4 Multiply the right
- 1720 = 40y Divide by 40
- 1720/40 = 40y/40 Do the division
- 43 = y y = wind speek
- 9y = x x = 9*y
- 9*43 = x
- x = 387 miles per hour.
Answer: The vector represents its new position is (10,25)
Step-by-step explanation:
A bird starts from the ground, that is (0,0) position and flies at a certain speed for 5 seconds, and lands on a tree branch.The vector representing its position is (4,10).
The rate of increase = slope will be
Slope = 10/4 = 2.5
It continues to fly in the same direction and at the same speed for 5 or more seconds
Since it is travelling at same speed and time, Slope will be the same
Slope = (y - 10)/(x - 4) = 5/2
The new x position = 4 × 5/2 = 10
The new y position = 10 × 5/2 = 25
The vector represents its new position is (10 , 25)
Answer:
yes
Step-by-step explanation:
even though one is rotated it still has the same number on each side
Step-by-step explanation:
group like terms
solve
divide the number with the variable by both sides
solve
Answer:Factor by grouping.
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(
x
−
4
)
(
3
x
+
1
)
x
−
4
Reduce the expression by cancelling the common factors.
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3
x
+
1
Step-by-step explanation: