Finding the vertex of the parabola
<span>y = (x + 5)^2 + 8 the vertex is at (-5, 8)
its coefficient so the parabola turns upward so the range is [8 , inf]</span>
8x^2*3xy
24x^3y I believe. Sorry if I’m a little rusty
Answer:
B. √6900
Step-by-step explanation:
The square length of hypotenuse is equal to sum of square length of two legs let x represent the other leg
130^2 = 100^2 + x^2
16900 = 10000 + x^2 subtract 10000 from both sides
6900 = x^2 find the root for both sides
x = √6900
Answer:
<h2>1 second.</h2>
Step-by-step explanation:
The graph is showing a periodic movement, which is the case of the movement of a pendulum. The x-axis represents the equilibrium point, that is y=0. So, each extreme point is where the pendulum immediately stops an return, So, we just have to observe what time it takes intercepting the axis twice in a row.
So, we see that at x=0.5, the pendulum is at equilibrium point, then at x=1.5 is crossing immediately again the equilibrium point. The time that took from 0.5 to 1.5 is 1 second, that is, 1.5-0.5 = 1 second.
Therefore, it takes 1 second to move from its resting point and return.