Answer:
1st graph.
Step-by-step explanation:
The function  y = -x² + 5, reflects the 1st graphic.
Reasoning:
- If we make x equal to 0, y=5, it meas the parabole crosses y-axis at 5.
- In every quadratic function, if the value of x is negative, the parabole goes downwards.
 
        
             
        
        
        
Answer:
Step-by-step explanation
In the form ax^2+bx+c
a x c should equal two factors of b
However, in this equation 
1 x 19 has no factors that = 10
so you must use the Quadratic Formula which is,
x = 
so the answer should be
x = 
x = 
x =  and    x =
      and    x = 
 
        
             
        
        
        
Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is  ≅
 ≅ 
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ = 
Sin  =
 = 
⇒ x = 86 x Sin 
       = 86 x 0.6725
      = 57.835 
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
                                     = 57.84 + 4
                                    = 61.84 feet
 
        
             
        
        
        
It is -11x + 24 because you multiply the numbers in the parentheses by 3 then collect like terms 10x +24 - 21x then you do 10x minus 24x and you get -11x+24
        
             
        
        
        
Answer:
5:9
6:5
7:-6
Step-by-step explanation: