Answer:
this trinomial is prime, and cannot be factored.
Step-by-step explanation:
when expanding the equation, you multiply the last term by the first term's coefficient, and then find two factors that multiply to that product, and sum to the middle coefficient.
1 * 19 = 19
there are no factors that will multiply to 19 and sum to 11. thus, this polynomial is prime.
X=2
I have an image showing all work
Answer:
Part One: $187
Part Two: 11a + 5.5k
Step-by-step explanation:
Part One:
a = 9 (how many adult tickets)
k = 16 (how many kid tickets)
($11 × a) + ($5.50 × k) = total cost
($11 × 9) + ($5.50 × 16)
($99) + ($88) = $187 = total cost
Part Two:
11a + 5.5k
11 is how much the adult ticket costs, you multiply a or the amount of adult tickets in order to get the total cost for adults.
5.5 is how much the kid ticket costs, you multiply k or the amount of kid tickets in order to get the total cost for kids.
you add 11a + 5.5k or the total cost for adults and the total cost for kids to get the total cost.
Given:
A figure ABCP.
To find:
The measure of CP.
Solution:
In triangles ABP and CBP,
(Given right angles)
(Given)
(Common side)
Now,
(By AAS property of congruence)
We know that the corresponding parts of congruent triangles are congruent.
Therefore, the measure of CP is 8 units.
Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) = 
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) = 
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) = 
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability = 
probability = 0.2517
