So the question ask to find the displacement vector and the distance from the submarine to the boat. Base on my calculation the displacement value of the given data you give is <(5-3),(1-4)(-5-0)>. I hope you are satisfied with my answer and feel free to ask for more
The answer would be 12 1/8
If this is a parabolic motion equation, then it is a negative parabola, which looks like a hill (instead of a positive parabola that opens like a cup). Your equation would be h(t)= -16t^2 + 20t +3. That's the equation for an initial velocity of 20 ft/s thrown from an initial height of 3 ft. And the -16t^2 is the antiderivative of the gravitational pull. Anyway, if you're looking for the maximum height and you don't know calculus, then you have to complete the square to get this into vertex form. The vertex will be the highest point on the graph, which is consequently also the max height of the ball. When you do this, you get a vertex of (5/8, 9.25). The 9.25 is the max height of the ball.
Answer:
Point Y (4, -1) lies on the circle.
Step-by-step explanation:
Distance = √[(x2-x1)² + (y2 - y1)²] = √[(4-1)² + (-1-(-5))²] = √[3² + 4²]= √25 = 5
Point Y (4, -1) lies on the circle, because the distance from the center to this point equals radius of the circle.
Answer: B. (-4, 0)
<u>Step-by-step explanation:</u>
The question is: when is the <u>function</u> constant?
function is also called f(x), which is also called "y".
So the question is asking: when is the y-value constant?
the y-value is constant (not increasing or decreasing) between x = -4 and x = 0. So the interval is (-4, 0)