The answer to you question is b = 2537.5 I think
        
             
        
        
        
Answer
The missing length is 10
Step-by-step explanation:
Represent the missing length with x
The sides of the given shape are directly proportional.
Mathematically:
(15 + x) to (12 + 8) and x to 7
Represent as a ratio:


Convert to fraction

Cross Multiply:


Collect Like Terms


Solve for x


<em>The length of the missing side is 10</em>
 
        
             
        
        
        
Answers:
A: 11(2x-1)
B: 121 cupcakes
Step-by-step explanation:
<u>Part A: </u>
We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:

Applying distributive property:

Grouping similar terms:

Applying common factor  :
:
 This is the simplified expression
 This is the simplified expression
<u>Part B:</u> 
Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if  :
:

 Hence, Mrs. Jones baked 121 cupcakes last week
 Hence, Mrs. Jones baked 121 cupcakes last week
 
        
             
        
        
        
Answer: 
Step-by-step explanation:
Given 
Complex number is 
Its conjugate is obtained by changing the sign of the original number i.e. 
The product of the two numbers is 
![\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29](https://tex.z-dn.net/?f=%5CRightarrow%20%282-i5%29%282%2Bi5%29%3D2%5E2-%285i%29%5E2%5Cquad%20%5Cquad%20%5B%28x%2By%29%28x-y%29%3Dx%5E2-y%5E2%5D%5C%5C%5C%5C%5CRightarrow%20%282-i5%29%282%2Bi5%29%3D4-25i%5E2%5C%5C%5C%5C%5CRightarrow%20%282-i5%29%282%2Bi5%29%3D4%2B25%3D29)