Answer:
110
Step-by-step explanation:
Let's define . So when we divide it by 'x+1', we can use Bezout's Theorem which states: that any polynomial(P(X)) divided by another binomial in the form 'x - a', then the remainder will be P(a).
We can use this fact to determine the remainder, because we divided our P(X) by x + 1 which is the same as x - (-1). So we plug in P(-1).
P(-1) = (-1)^11 + 101 = -1 + 101 = 110
Answer:
Step-by-step explanation:
We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation is.
We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be .
Then, we will find the y-intercept of the line using the standard equation of a line:
Therefore, the equation of the line will be .
Answer:
The initial velocity is 314.88 ft/s
The maximum height reached is 144 meter.
Step-by-step explanation:
The total time period is 6 seconds for the raindrop.
Using the equation of motion by differentiating h(t) to give v(t),
<em></em>
<em>at t=0, v(0) = 96 m/sec = 314.88 ft/sec</em>
It is given that,
differentiating we get
<em></em>
at highest point, v=0;
thus gives us highest point achieved at t=3 seconds.
Height at t=3 seconds is,
<em></em>