Find 1 on the x axis and go up 1 on the y axis.
Find 5 on the x axis and go up 1. you should now have two plotted points
Answer:
You must drive 5 hours
Step-by-step explanation:
First we have to calculate how much we have to cover
v = velocity = 65 mi/h
t = time
d = distance
v = d/t
t = d/v
d = 700mi - 375mi
d = 325mi
t = d/v
t = (325mi) / (65mi/h)
t = 5h
The equation would then look like this:
t = (700mi - 375mi) / (65mi/h)
This solution to this problem is predicated on the fact that the circumference is just:
. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:
![d\pi](https://tex.z-dn.net/?f=%20d%5Cpi%20)
So, solving for both the radius and the diameter gives us:
![d\pi=8xy^2\pi\\ d=8xy^2\\ \\ 2\pi r=8xy^2\pi\\ r=4xy^2](https://tex.z-dn.net/?f=%20d%5Cpi%3D8xy%5E2%5Cpi%5C%5C%20d%3D8xy%5E2%5C%5C%20%5C%5C%202%5Cpi%20r%3D8xy%5E2%5Cpi%5C%5C%20r%3D4xy%5E2%20)
So, the length of thes traight path that goes through the center of the guardain is just
, and we can use the radius for the next part of the problem.
The area of a circle is
, which means we can just plug in the radius and find our area:
![A=\pi r^2 \implies \\ A=\pi (4xy^2)^2\implies \\ A= 16\pi x^2y^4](https://tex.z-dn.net/?f=%20A%3D%5Cpi%20r%5E2%20%5Cimplies%20%5C%5C%20A%3D%5Cpi%20%284xy%5E2%29%5E2%5Cimplies%20%5C%5C%20A%3D%2016%5Cpi%20x%5E2y%5E4%20)
So, we have found our area(
) and the problem is done.
Answer:
4 times
Step-by-step explanation:
A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.
In the context, Chris tries to label every lattice point in a coordinate plane with its square of distance from the point to its origin. The lattice points means that the numbers are both the integers. So for number 25, Chris has to label 4 times
i.e. (55),(-5,5),(5,-5),(-5,-5)