Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
Answer:
Option D
Step-by-step explanation:
Given: set of inequalities
To find: Points which do not satisfy all the inequalities
Solution:
For point
:

So, (15, 0) satisfies all the inequalities
For point
:

So, (7.5, 7.5) satisfies all the inequalities
For point (22.5,2.5):

So, (22.5,2.5) satisfies all the inequalities
For point (7.5 ,0):
Put s = 7.5 and t = 0 in 
which is false
So, 
Practice, practice & practice.
Answer:
x1=6 , x2=1
Step-by-step explanation:
If you have any questions about the way I solved it,don't hesitate to ask