2/5 in Fraction form?

How are Mass and distance related to gravity

docker41 [41]

Answer:

here.

Step-by-step explanation:

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

I hope this helps! :D

6 0

3 years ago

Read 2 more answers

Is the graph increasing, decreasing, or constant?

djyliett [7]

Answer:

It is increasing.

Step-by-step explanation:

Given the graph of a straight line, there are several ways to find its equation.

Method 1: This method works only if the y intercept is visible.

Find any two points, (x1, y1) and (x2, y2), on the line and substitute their coordinates into the following formula to get m:

Get b from inspection of the y intercept of the graph.

Substitute the numbers that you have obtained for m and b into the equation y = m x + b.

Method 2: This method works even if the y intercept is not visible.

As in method 1, find any two points, (x1, y1) and (x2, y2), on the line and substitute their coordinates into the following formula to get m:

Substitute the number that you obtained for m into the equation y = m x + b. Also, take one of the points, say (x1, y1), and substitute its coordinates into the equation. This gives:

y1 = m x1 + b

It may not look like it, but this equation has only one variable, b, and you can easily solve for it.

Substitute the numbers that you have obtained for m and b into the equation y = m x + b.

Method 3: This method has the advantage that it uses only algebra, not geometry, and can be applied to any type of function, not just the straight line:

Find two points, (x1, y1) and (x2, y2), that are on the line. Take the first point, (x1, y1), and substitute it into the straight line equation, y = m x + b. This gives:

y1 = m x1 + b

Similarly, take the second point, (x2, y2), and substitute it into the straight line equation, y = m x + b. This gives:

y2 = m x2 + b

Together, these two equations constitute a system of two equations in the two unknowns, m and b. We can solve them for m and b using the elimination method. To be specific, if we subtract the first equation from the second, then b is eliminated and we get the equation:

y2 − y1 = m x2 − m x1,

which, when solved for m, gives the same equation as in the other two methods, namely:

Find b by back-substitution. To be specific, substitute the number that you obtained for m into one equation of the system of equations, say into y1 = m x1 + b. It may not look like it, but this equation has only one variable, b, and you can easily solve for it

7 0

3 years ago

Prove that the curve a(t) = (cost, sin 2t, cos 2t) is regular on R and that it self-intersects at (1,0,1). Check the self-inters

alexandr402 [8]

Answer:

The function a (t) is a vector function composed of the component functions $a_ {1} (t) = cost, a_ {2} (t) = sin2t$ and $a_ {3} (t) = cos2t$ . How $a_ {1} (t), a_ {2} (t), a_ {3} (t)$ are infinitely derivable functions in R, so they are regular functions in R.

Now, for $t = 0$ , you have to $a (0) = (cos (0), sin2 (0), cos2 (0)) = (1, 0, 1)$ . How the functions $a_ {1} (t), a_ {2} (t), a_ {3} (t)$ are periodic functions with period $2 \pi,$ the vector function $a (t)$ will take the same point $(1, 0 , 1)$ at $t = 2n\pi, n = 0, 1, 2, 3, ...$ then the vector function is auto-intercepted