Answer:
yes
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given the rational expression:
, to express this in simplified form, we would need to apply the concept of partial fraction.
Step 1: factorise the denominator





Thus, we now have: 
Step 2: Apply the concept of Partial Fraction
Let,
= 
Multiply both sides by (x - 1)(x - 4)
= 

Step 3:
Substituting x = 4 in 





Substituting x = 1 in 





Step 4: Plug in the values of A and B into the original equation in step 2


Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
1 hour = 60 minutes/300 minutes (set up a ratio problem)
5 hours