The number that is a perfect square is 16
9514 1404 393
Explanation:
Both sides of the equation are squared.

I like this better without fractions, so would multiply by 16 at this point (or earlier).
x^2 -40x +144 = 0
(x -36)(x -4) = 0
x = 4 or 36 . . . . . . x = 4 is extraneous
The solution is x = 36.
Answer:
6
Step-by-step explanation:
3/4 * 8 is really easy but.....
you multiply the 3/4 * 8/1 (numerators and denominators) 3*8/4*1 = 24/4 = 6.
Answer:

Step-by-step explanation:
For ellipses, the length of the major axis is represents as:
Major axis = 
where
is called the semi-major axis.
In this case since the major axis is equal to 10 units:

solving for the semi-major axis
:

and also the minor axis of an ellipse is represented as:
Minor axis = 
where
is called the semi-minor axis.
Since the minor axis has a length of 8 units:

solving for b:

Now we can use the equation for an ellipse centered at the origin (0,0):

and substituting the values for
and
:

and finall we simplify the expression to get the equation of the ellipse:

Step-by-step explanation:
In 1 second Fran cycles 5.3 m.
So we need to work out how many seconds is in 5 minutes.
1 minute = 60 seconds
5 minutes = 60*5 = 300 seconds
So Fran cycles at a speed of 5.3 m/s in 300 seconds.
1 second = 5.3m
300 seconds = 5.3*300 = 1590m
Hope this helps!