Answer: The required values are
x = 12 units, ST = 60 units and SU = 120 units.
Step-by-step explanation: Given that T is the midpoint of SU, where
ST = 5x and TU = 3x + 24.
We are to find the values of x, ST and SU.
Since T is the midpoint of SU, so we get

So, the value of x is 12.
Therefore,

and

Thus, the required values are
x = 12 units, ST = 60 units and SU = 120 units.
Answer:
35 and 7/12 feet is the combined height of the two records.
Step-by-step explanation:
Height of the indoor pool vault record for men = 20 and 1/6 ft =
Height of indoor pool vault record for women = 15and 5/12 ft =
The combined height of the two records :




35 and 7/12 feet is the combined height of the two records.
Answer:
the removal discontinuity of the following function at x=-6 or x=6.
Step-by-step explanation:
factoring f(x) = (x - 6)(x + 6)
----------------
x(x - 6)^x + 6)
Working with fractions, you'll need to find the least common denominator (LCD). In this case, the LCD is 20.
Rewriting the four given numbers to the LCD, you would get:
10/20, 15/20, 4/20, and 14/20.
Now, you just organize it from least to greatest as:
4/20 < 10/20 < 14/20 < 15/20.
In other words, it is:
1/5 < 1/2 < 7/10 < 3/4.