Answer:
Step-by-step explanation:
Let +s+ = the speed of the passenger train
+s+-+20%5D+ = the speed of the freight train
Let +t+ = time in hours for both trains
-------------------------------------
Equation forpassenger train:
(1) +280+=+s%2At+
Equation for freight train:
(2) +180+=+%28+s-20+%29%2At+
------------------------
(1) +t+=+280%2Fs+
Substitute (1) into (2)
(2) +180+=+%28+s-20+%29%2A%28+280%2Fs+%29+
(2) +180s+=+280s+-+5600+
(2) +100s+=+5600+
(2) +s+=+56+
and
+s+-+20+=+36+
The speed of the passenger train is 56 mi/hr
The speed of the freight train is 36 mi/hr
-------------------------------------
check:
(1) +280+=+56%2At+
(1) +t+=+5+
and
(2) +180+=+%28+56-20+%29%2At+
(2) +180+=+36t+
(2) +t+=+5+
OK
Answer:
45 J
Step-by-step explanation:
Just plugged into the work force formula got 45 jules
Answer:
Step-by-step explanation:
Given
<em>Translation: 3 units left and 1 unit right</em>
Required
Determine the new coordinates of B
Write out the coordinates of B
When a function is shifted to the left, we have to subtract the unit from the x value of the function;
<em>Shifting by 3 units left, the new x becomes </em>
<em />
<em />
<em />
<em />
<em />
When a function is shifted upward, we have to add the unit to the y value of the function;
<em>Shifting by 1 unit up, the new y becomes </em>
Hence, the new coordinates of B is
Area = 4x(2x + 3) = 8x2 + 12x
Perimeter = 2(2x + 3 + 4x) = 12x + 6
