Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions
<h3>Modulus functions</h3>
Modulus functions are functions that can either be positive or negative. Given the modulus function below;
 |h| − 8 = 4
The modulus of h can both be negative and positive
If the modulus of h is positive then;
h - 8 = 4
Add 8 to both sides
h-8 + 8 = 4 + 8
h = 4 + 8
h = 12
If the value of h is negative
-h - 8 = 4
-h = 4 + 8
h =-12
Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions
Learn more on modulus function here: brainly.com/question/23450491
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The height of broken part of tree from ground is 5.569m.
Justification:
Let BD is a tree of height 12 m. 
<u>Suppose it got bent at a point C and let the part CD take the position CA, meeting the ground at A</u>. 
i.e., CD = AC = h m 
<u>Broken part makes 60° angle from ground</u> 
So, ∠BAC = 60° 
<u>Now, height of remaining part of tree</u> = (12 – h)m. 
In right angled ∆ABC,
sin 60° = BC/AC 
⇒ √3/2 = (12 - h)/h 
⇒ √3h = 2(12 – h) 
⇒ √3h = 24 – 2h 
⇒ √3h + 2h = 24 
⇒ h(√3 + 2) = 24 
⇒ h(1.732 + 2) = 24 
⇒ h(3.732) = 24 
⇒ h = 24/3.732 = 6.4308 m 
<u>Hence, height of broken tree from ground</u>
⇒ BC = 12 – h 
⇒ 12 – 6.4308 = 5.569m 
<u>Hence, tree is broken 5.569 m from ground</u>.
<u>Note</u>: See attached picture. 
 
        
             
        
        
        
Answer:
 -9 + 7√5.
Step-by-step explanation:
(3 - √5)(2 + 3√5)
= 3(2 + 3√5) - √5(2 + 3√5))
= 6 + 9√5 - 2√5 - 15
= -9 + 7√5.
 
        
             
        
        
        
Answer:
It costs $42.43 
Step-by-step explanation:
Lets explain how to solve the problem
- The cost of  kilogram of candy is $7.5
 kilogram of candy is $7.5
- We need to find the cost of  kilogram
 kilogram
We  can use the ratio to find the answer
======= Dollar   :    Kilogram
======= 7.5        :    
=======  c           :     
   
By using cross multiplication
∴ c ×  = 7.5 ×
 = 7.5 × 
∵  =
 = 
∴  =
 = 
∴ c ×  = 7.5 ×
 = 7.5 × 
∴ c ×  =
 = 
Divide both sides by 
∴ c =  ÷
 ÷ 
Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∴ c =  ×
 ×  
 
∴ c =  = 42.43 dollars
 = 42.43 dollars
∵ c represents the cost of  kg
 kg
∴ It costs $42.43 
 
        
             
        
        
        
Answer:
m=6
x=6
Can i please have brainliest? I never get brainliest. :(