You can factor a parabola by finding its roots: if

has roots
, then you have the following factorization:

In order to find the roots, you can use the usual formula

In the first example, this formula leads to

So, you can factor

The same goes for the second parabola.
As for the third exercise, simply plug the values asking

you get

Add 3 to both sides:

Divide both sides by 1.5:

Answer:

Step-by-step explanation:
Given



Required
Her salary in that month
Given that she spent
of her salary on shopping, this implies that she has
of her salary left
From what's left, she gave her sister 
This means she gave her sister 
Sister = 
Calculating a fraction of what's left




Recall that she has Rs11,040
This means that

Multiply both sides by 




Hence, her salary for that month was Rs23000
9514 1404 393
Answer:
AE = CE = 23; BE = DE = 20
Step-by-step explanation:
Put the values of the variables in their place and do the arithmetic.
AE = 2u+5 = 2(9) +5 = 23
BE = 6v-1 = 6(3.5) -1 = 20
CE = 3u-4 = 3(9) -4 = 23
DE = 8v-8 = 8(3.5) -8 = 20
The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.