Last year He was 7 years old.
His father is 4 times the age 7 x 4 = 28
Last year his dad was 28, so this year he is 29.
Combined age this year = 29 + 8 = 37
51 - 37 = 14 years
14/ 2 people = 7 years
8 + 7 = 15
29 + 7 = 36
15 + 36 = 51
It will take 7 years.
 
        
             
        
        
        
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, 1)
m =  =
 =  = - 1
 = - 1
 
        
                    
             
        
        
        
Answer:
The Proof with Figure, Statement and Reasons is given below.
Step-by-step explanation:
Given:
∠DAF ≅ ∠EBF,
DF ≅  FE
Prove:
Δ ADF ≅ Δ BFE
Proof:
        Statements                                 Reasons
a. ∠DAF ≅ ∠EBF       ...........................Given
<u>48. ∠DFA ≅ ∠EFB  </u>..........................Vertical Angles are congruent
DF ≅  FE                  ..........................<u>.49. Given</u>
50.<u> Δ ADF ≅ Δ BFE </u>.......................<u>..By Angle-Angle-Side test</u>
 
        
             
        
        
        
<span>a rotation 90° counterclockwise about the origin followed by a reflection across the y-axis</span>
        
             
        
        
        
Answer:
(Answer D)
Step-by-step explanation:
Please use " ^ " to indicate exponentiation:  y = -8x^2 - 2, y = -8x^2
The graph of y = -8x^2 is an inverted parabola with vertex at (0, 0).
That of y = -8x^2 - 2 is the same as above, except that the whole graph has been shifted 2 units down (Answer D).