Answer:
Equation of line is y=(12/5)x+2
Step-by-step explanation:
The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.
Now, point X satisfies the equation. Plugging in the slope of the line we end up with
y=(12/5)*x+c, now to find c
-10=(12/5)*(-5)+c, c=2
Equation of line is y=(12/5)x+2
 
        
             
        
        
        
Answer:
Step-by-step explanation:
If she doubles the area of her lot, it should be 2x^2.
But how do you get that?
The answer is that the sides have now increased to √2x
How did I get that, and why did I choose it?
- The formula for a square's area is s^2
- If you want to double the area, it will be 2 s^2.  Now what?
- Take the square root of 2s^2 which is √(2s^2).
- What that means is the side is now √2 s
 
        
             
        
        
        
Since you have to multiple. L×W×H....
The first one has a volume of 400 and the second has a volume of 400...so both prisms have an equal volume but have a differnet shape
        
             
        
        
        
Answer:
p = 3
Step-by-step explanation:
distribute parenthesis on both sides of the equation
10p - 3p + 4 = 4p + 4 + 9 ( simplify both sides )
7p + 4 = 4p + 13 ( subtract 4p from both sides )
3p + 4 = 13 ( subtract 4 from both sides )
3p = 9 ( divide both sides by 3 )
p = 3
 
        
             
        
        
        
Divide both sides of the inequality by 4 but don’t flip the symbol. 
You only flip the inequality symbol if you divide by a negative number. 
If you’re solving for x (which you are), you want to get x by itself. The only way to do that is to divide by 4.