Answer:
w = 2, EF = 30 , FG = 42
Explanation:
We have EF = 5w + 20 and FG = 7w + 28
Since these points E, F and G are col-linear points we have.
EG = EF + FG
And given that EG = 72
So, EF+EG = 72
5w + 20 + 7w + 28 = 72
12w + 48 = 72
12 w = 24
w = 2
So EF = 5w + 20 = 5x2 + 20 = 30
FG = 7w + 28 = 7x2 + 28 = 42
Step 1: Find the slope
(y-y)/(x-x) = (8-8)/(9+4) = 0
Step 2: Substitute into the slope intercept equation
y - y = m(x - x)
y - 8 = 0(x - 9)
If the problem just wants plain, slope intercept form, then this is your answer.
If not, y = 8
I hope this helps you
perpendicular lines slopes multiplication -1
M1×M2= -1
1/2×M2= -1
M2= -2
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

