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2 answers:
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Answer:
Bro you have got the answer as 17 I don't know how
Step-by-step explanation:
Please mark me as brainliest
To solve our questions, we are going to use the kinematic equation for distance: 
where
is distance
is speed
is time
1. Let
be the speed of the wind, 
be time of the westward trip, and 
the time of the eastward trip. We know from our problem that the distance between the cities is 2,400 miles, so 
. We also know that the speed of the plane is 450 mi/hr, so 
. Now we can use our equation the relate the unknown quantities with the quantities that we know:
<span>Going westward:
The plane is flying against the wind, so we need to subtract the speed of the wind form the speed of the plane:
</span>
Going eastward:
The plane is flying with the wind, so we need to add the speed of the wind to the speed of the plane:
We can conclude that you should complete the chart as follows:
Going westward -Distance: 2400 Rate:
Time:
Going eastward -Distance: 2400 Rate:
Time:
2. Notice that we already have to equations:
Going westward: equation(1)
Going eastward: equation (2)
Let
be the time of the round trip. We know from our problem that the round trip takes 11 hours, so 
, but we also know that the time round trip is the time of the westward trip plus the time of the eastward trip, so 
. Using this equation we can express in terms of :
equation
equation (3)
Now, we can replace equation (3) in equation (1) to create a system of equations with two unknowns:
We can conclude that the system of equations that represent the situation if the round trip takes 11 hours is:
equation (1)
equation (2)
3. Lets solve our system of equations to find the speed of the wind:
equation (1)
equation (2)
Step 1. Solve for in equation (2)
equation (3)
Step 2. Replace equation (3) in equation (1) and solve for
:
We can conclude that the speed of the wind is 78 mi/hr.
where
1. Let
<span>Going westward:
The plane is flying against the wind, so we need to subtract the speed of the wind form the speed of the plane:
</span>
Going eastward:
The plane is flying with the wind, so we need to add the speed of the wind to the speed of the plane:
We can conclude that you should complete the chart as follows:
Going westward -Distance: 2400 Rate:
Going eastward -Distance: 2400 Rate:
2. Notice that we already have to equations:
Going westward:
Going eastward:
Let
Now, we can replace equation (3) in equation (1) to create a system of equations with two unknowns:
We can conclude that the system of equations that represent the situation if the round trip takes 11 hours is:
3. Lets solve our system of equations to find the speed of the wind:
Step 1. Solve for
Step 2. Replace equation (3) in equation (1) and solve for
We can conclude that the speed of the wind is 78 mi/hr.
Answer:
- translate down 3
- reflect across the horizontal line through A
Step-by-step explanation:
1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.
In the first attachment, we have elected to translate the line down 3 units.
__
2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.
Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.
In the second attachment, we have elected to reflect the line across a horizontal line through A.
