There is 6 1/8ths in 3/4ths
Answer:
The answer is C 5/4
Step-by-step explanation:
When lines are parallel and you know there is a scalar factor, make the ratio by putting the original over the dilation 15:12 or 15/12 this is the ratio and after you need to reduce by dividing by the greatest common factor. 15 and 12's GCF is 3 so (15/3)/(12/3) = 5/4.
ADC = DAB
CAD = BDA
Answer: DAB, BDA
Acceleration = (change in speed) / (time for the change) .
Change in speed = (25 m/s - 9 m/s) = 16 m/s
Time for the change = (8 sec - 5 sec) = 3 seconds
Acceleration = (change in speed) / (time for the change)
= (16 m/s) / (3 sec)
= (5 and 1/3) m/s² .
(rounded to the nearest hundredth ... 5.33 m/s² . )
First picture:
You got the first two right (good job!), so I'll just tackle the third one. If you have to compute 
, it means that you have to substitute 
in place of 
. Differently from the first two points, this will generate a new function, rather than a specific value:
Second picture:
Given the point 
highlighted in the picture, you can deduce that the base is 
units long (since it spans from 
to 
) and the height is 
units long (because it spans from to ). So, the area of the rectangle is the multiplication between base and height:
But we know that 
, so we have
The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have
But since the problem is symmetric, the answer is
You can only see the answer 
because, if you choose 
or 
, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently
