That should read:
h(t)=-16t^2+128t+144
h(3)=-16*9+128*3+144
h(3)=384
        
             
        
        
        
Given the radius r and the tangent line AB, the length of the line OA is 24 units
<h3>How to determine the length OA?</h3>
The radius r and the tangent line AB meet at a right angle.
By Pythagoras theorem, we have:
AB² = OA² + r²
So, we have:
24² = OA² + 7²
Rewrite as:
OA² = 24² - 7²
Evaluate
OA² = 527
Take the square root of both sides
OA = 23
Hence, the length of OA is 24 units
Read more about tangent lines at:
brainly.com/question/14410319
#SPJ1
 
        
             
        
        
        
Answer:
x>5
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
4x−15>−2x+15
Step 2: Add 2x to both sides.
4x−15+2x>−2x+15+2x
6x−15>15
Step 3: Add 15 to both sides.
6x−15+15>15+15
6x>30
Step 4: Divide both sides by 6.
 
        
                    
             
        
        
        
Answer:
See below.
Step-by-step explanation:
The graph of the quadratic equation is a parabola or u shaped graph. It has a vertex at (-1,-3) since h=-1 and k=-3 in the vertex form. It is also facing down since the leading coefficient is negative.
 
        
                    
             
        
        
        
So what we know from that is that angle is 30 degrees south of west. so you go 30 degrees down from west. How can we do this? well <span>basically what you have to do is to break down the force into x and y component. The y component of large force and the y component of small force should cancel so that the boat doesn't go north and south and the x components of both the forces should add up so that it goes west only.</span>