Answer:
Step-by-step explanation:
Part A
This is a combination problem. Order does not matter.
36C6
36!/(30! 6!)
36 * 35 * 34 * 33 * 32 * 31/ 6!
1402410240/6!
1947792
Part B
1 / (36C6)
0.000000513 or
0.0000005
Answer:
Y=-5x-46.
Step-by-step explanation:
-5 is the slope, so Y=-5x+b. If you plug in (-8,-6), you get -6=40+b, so b has to be -46 for that to be true, I think.
Answer:
Option d.
Step-by-step explanation:
It is given that vertices of triangle PQR have coordinates P(2, 3), Q(3, 8), and R(7, 3).
We need to find the transformation of Triangle PQR, so that distance and angle measure preserved.
We know that translation is a rigid transformation if the rule of translation is

where, a represents the horizontal shift and b represent the vertical shift.
To for a congruent triangle the coefficients of x and y must be 1.
Only in option d the coefficients of x and y are 1.

Therefore, the correct option is d.
Answer:
x=0,3,-6,7
Step-by-step explanation:
set each factor equal to zero and then solve for x.