Evaluate the expression if x = 3 and y = 6. 4x + 3y
2 answers:
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Hey there!
Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C.
Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is
.
Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down.
The answer will be B, "a dilation with a scale factor of and then a translation."
Hope this helped you out! :-)
Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C.
Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is
Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down.
The answer will be B, "a dilation with a scale factor of
Hope this helped you out! :-)
Answer:
The time after which the rocket hit the ground is 5 seconds
Step-by-step explanation:
Given as :
The distance of the cover by rocket at the height h = - 16 t² + 160 t
Let the time after which rocket hit the ground = T seconds
Now, When the rocket hits the ground, then at that time, the velocity of the rocket becomes zero.
I.e velocity = = 0
Or, v = = 0
Now, v =
Or, v =
or, v = - 32 t + 160
Now, ∵ velocity of rocket after reaching the ground becomes zero
So, v = - 32 t + 160 = 0
Or, 32 t = 160
Or, t =
∴ t = 5 sec
So, The time after which the rocket hit the ground = 5 sec
Hence The time after which the rocket hit the ground is 5 seconds answer