One <em>correct answer</em> is:
Let <em>m </em>and <em>n </em>be lines that intersect line <em>a</em>. Let <em>m</em> be perpendicular to <em>a</em>. This means that all 4 of the angles formed by the intersection of <em>m</em> and <em>a</em> are 90°.
Let <em>n</em> be perpendicular to <em>a</em>. This means that all 4 of the angles formed by the intersection of <em>n </em>and <em>a</em> are also 90°.
Since all of the angles are congruent, this means that the same-side interior angles (between lines <em>m</em> and <em>n</em>) are congruent. If two same-side interior angles are congruent, then the lines are parallel.
Answer:
The required equation is:

Explanation:
Let us assume that the hole is at y = 0m, with x as the time.
From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)
At x = 1s, the ball gets to the hole, therefore we have point (1s, 0m)
We know that the vertex of the parabola y = ax² + bx + c is at

therefore we have:

We then have the following equations:



From the 3rd equation we have
1 X 2a = b.
Therefore we have:


We can simplify both equations and get:


The first equation now becomes:


With a, we can find the values of c and b.


Then the equation is:

Answer:
The error interval for x is:
![[15.375,15.384]](https://tex.z-dn.net/?f=%5B15.375%2C15.384%5D)
Step-by-step explanation:
In order to determine the error interval for x, We have to get the all the number which could be rounded off to
.
These number can be listed in order such as:
15.375 15.376 15.377 15.378 15.379 15.380 15.381 15.382 15.383 15.384
Therefore, the error interval for x is:
![[15.375,15.384]](https://tex.z-dn.net/?f=%5B15.375%2C15.384%5D)
The given points are the vertices of the quadrilateral

By Green's theorem, the line integral is

