6x+4=x-11
x=-3 
needs to be 20 characters
        
             
        
        
        
Answer:
Area of triangle is 25.
Step-by-step explanation:
We have been given an isosceles right triangle
Isosceles triangle is the triangle having two sides equal.
Figure is shown in attachment 
By Pythagoras theorem

AD is altitude which divides the triangle into two parts
DC=5 implies BC =10 since D equally divides BC
Let AC=a implies AB=a being Isosceles 
On substituting the values in the Pythagoras theorem:




WE can find area of right triangle by considering height AB and AD
Area of triangle ABC is:
 (1)
     (1)

And other method of area of triangle is:
 (2)
       (2)
Equating (1) and (2) we get:
 


Using area of triangle is: 
Now, the area of triangle ABC=

 
        
             
        
        
        
Answer:
6 kg/m
Step-by-step explanation:
mass m = 3x^2.
rho ρ= dm/dx =6x
ρ(1) =6 Kg/m
linear density is the derivative of mass (m)  with respect to position(x)
that is how fast is the mass changing at that position.
 
        
             
        
        
        
Answer:
The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Step-by-step explanation:
A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

Each ticket cost $5, so he has spent $50 for the 10 tickets.
Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.
 
        
             
        
        
        
Answer:
A. You can get cash-back rewards 
Step-by-step explanation:
Cash Back rewards are more formally used to save money with a credit card.