The slope is -2 and the y-intercept is 9
        
                    
             
        
        
        
A=BH because the shape will at least have 4 sides
        
             
        
        
        
Let the largest angle in a triangle be x .
Then :-
The smallest angle :-

The third angle :-

Let us find the measure of the three angles .
Sum of all angles in the interior of a triangle = 180°
An equation to find the value of each angle :-








Which means :-
Measure of the largest angle = 90°
Measure of the smallest angle :-


Measure of the third angle :-


<h3>Therefore :-</h3>
The measure of the largest angle = 90°
The measure of the smallest angle = 30°
The measure of the third angle = 60°
 
        
             
        
        
        
Answer:
 x = 0, y = -2
Step-by-step explanation:
-3x - 4y = 8  (1)
-4x - 3y=6 (2)
Multiply (1) by -4 and (2) by -3, we have:
12x + 16y = - 32  (3)
12x + 9y= -18 (4)
Subtract (4) from (3), we have:
(12x + 16y) - (12x + 9y) = - 32  - (-18)
<=> 7y = - 14
=> y = - 2
Replace y with - 2 in (3), we have x = 0
 
        
             
        
        
        
Answer:
The rate at which both of them are moving apart is 4.9761 ft/sec.
Step-by-step explanation:
Given:
Rate at which the woman is walking,
 = 3 ft/sec
Rate at which the man is walking,
 = 2 ft/sec
Collective rate of both, 
 = 5 ft/sec
Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min  = 20 min
Now,
Distance traveled by man and woman are 
 and 
 ft respectively.
⇒ 
⇒ 
As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate 
 .
Lets calculate h.
Applying Pythagoras formula.
⇒ 
  
⇒ 
Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.
Differentiating with respect to time.
⇒ 
⇒ 
⇒ 
                         ...as 
⇒ Plugging the values. 
⇒ 
                       ...as 
 ft/sec
⇒ 
  ft/sec
So the rate from which man and woman moving apart is 4.9761 ft/sec.