Answer:
4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-(-2))/(3-1)
m=(6+2)/(2)
m=8/2
m=4
 
        
             
        
        
        
Answer:
b = -125/9
Step-by-step explanation:
1 + log5 ( -9b) = 4
Subtract 1 from each side
1 -1+ log5 ( -9b) = 4-1
 log5 ( -9b) = 3
Raise each side to the base 5
5^  log5 ( -9b) = 5^3
This will cancel the log5
-9b = 125
Divide each side by 9
-9b/-9 = 125/-9
b = -125/9
 
        
             
        
        
        
Answer:
<h3>-x+3</h3>
Step-by-step explanation:
Given the expression
-x^2 + x + 3 x - 3 
Factorize
(-x^2 + x) + (3 x - 3)
-x(x-1)+3(x-1) 
= (x-1)(-x+3)
Hence one of the quotient is -x+3
 
        
             
        
        
        
According to the ratio of dogs to cats, if there are 20 cats, there will be 35 dogs.
<u>Explanation:</u>
Let the number of dogs be d and the number of cats be c
If the ratio of dogs to cats is 49:28, then the ratio of d : c would be

On reducing the fraction, we get

It is shown that the number of cats is reduced to 20. 
So, let the number of dogs after sometime be x
Thus,

After cross multiplying we get:
140 = 4x
x = 35
According to the ratio of dogs to cats, if there are 20 cats, there will be 35 dogs.