Answer:
   y = 4x -14
Step-by-step explanation:
The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.
The slope equation is ...
   m = (y2 -y1)/(x2 -x1)
   m = (10 -2)/(6 -4) = 8/2 = 4
The y-intercept equation is ...
   b = y - mx
   b = 2 -4(4) = -14
The equation of the line is y = 4x -14.
 
        
             
        
        
        
the height of the tree is 23 feet .
<u>Step-by-step explanation:</u>
Here we have , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. We need to find Find the height of the tree. Let's find out:
According to question , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long . Let the angle made between Tony height and his shadow be x . Now , At the same time, the shadow of a nearby tree was 32 feet long. Since the tree is nearby so tree will subtend equal angle of x. Let height of tree be y , So 
⇒ 
But , From tony scenario
⇒ 
Equating both we get :
⇒ 
⇒ 
⇒ 
Therefore , the height of the tree is 23 feet .
 
        
             
        
        
        
1.f
2.c
3.b
4.e
5.a
6.d
in order
        
             
        
        
        
Answer:
D
Step-by-step explanation:
 
        
                    
             
        
        
        
Use trigonometry.
tan30° = perpendicular / base
Here for angle 30° , x is perpendicular while 10 is the base.
tan30° = 1/√3
1/√3 = x/10
 x = 10/✓3
By rationalising 
x = 10√3/3
Hope This Helps You!