Answer:

y = -9 + 75 = 66
x = 27-(-11) = 27 + 11 = 38
slope = 66/28
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:
75°
Step-by-step explanation:
Please see attached picture for full solution.
Answer: $62
Step-by-step explanation:
From the question, we are informed that someone earned $204 from a job last week and has two relatives with birthdays coming up and wants to
spend the same amount on each of them but still wants to have $80 left.
To calculate the amount of gift spent on each, we have to deduct $80 from $204 firstly. This will be:
= $204 - $80
= $124
This means that the person will spend $124 on both of them, then we divide $124 by 2. This will be:
= $124/2
= $62
The amount spent on each gift will be $62.