-1 for the last one all of them involve 3 and the 1 isn’t 3 so it would be -1 hahaha
Answer:
Rectangle
Step-by-step explanation:
The given quadrilateral has coordinates at: P (3,7), Q (-1,7), R (3, -1) and S (-1, -1).
The length of PQ is given by:
![|PQ|=|3--1|=|4|=4](https://tex.z-dn.net/?f=%7CPQ%7C%3D%7C3--1%7C%3D%7C4%7C%3D4)
The length of QS is ![|QS|=|7--1|=|8|=8](https://tex.z-dn.net/?f=%7CQS%7C%3D%7C7--1%7C%3D%7C8%7C%3D8)
The length of RS is ![|RS|=|3--1|=|4|=4](https://tex.z-dn.net/?f=%7CRS%7C%3D%7C3--1%7C%3D%7C4%7C%3D4)
The length of PR is ![|PR|=|7--1|=|8|=8](https://tex.z-dn.net/?f=%7CPR%7C%3D%7C7--1%7C%3D%7C8%7C%3D8)
The slope of PQ is ![\frac{7-7}{3--1}=0](https://tex.z-dn.net/?f=%5Cfrac%7B7-7%7D%7B3--1%7D%3D0)
The slope of QS is ![\frac{-1-7}{-1+1}= \infty](https://tex.z-dn.net/?f=%5Cfrac%7B-1-7%7D%7B-1%2B1%7D%3D%20%5Cinfty)
The slope of RS ![\frac{-1--1}{-1-3} =0](https://tex.z-dn.net/?f=%5Cfrac%7B-1--1%7D%7B-1-3%7D%20%3D0)
The slope of PR is ![\frac{-1-7}{3-3}=\infty](https://tex.z-dn.net/?f=%5Cfrac%7B-1-7%7D%7B3-3%7D%3D%5Cinfty)
The quadrilateral has pair of parallel sides equal and adjacent sides perpendicular.
This is a rectangle
Answer:
2,5
Step-by-step explanation:
2 - 4 = 2
2 - 7 = 5
So the answer is 2,5
I think.
Answer:
the graph is at 4 1/2 and 0 is that what you were looking for
Step-by-step explanation:
If
![x](https://tex.z-dn.net/?f=x)
is the first integer, then the next two are
![x+2](https://tex.z-dn.net/?f=x%2B2)
and
![x+4](https://tex.z-dn.net/?f=x%2B4)
.
If the product of the first and second are greater than the third integer by 8, that means you have the following equation:
![x(x+2)=(x+4)+8\implies x^2+x-12=(x-3)(x+4)=0\implies x=3\text{ or }x=-4](https://tex.z-dn.net/?f=x%28x%2B2%29%3D%28x%2B4%29%2B8%5Cimplies%20x%5E2%2Bx-12%3D%28x-3%29%28x%2B4%29%3D0%5Cimplies%20x%3D3%5Ctext%7B%20or%20%7Dx%3D-4)
Ignore
![x=-4](https://tex.z-dn.net/?f=x%3D-4)
since it's an even integer.
Check that
![x=3](https://tex.z-dn.net/?f=x%3D3)
is correct. The next two odd integers would be
![5](https://tex.z-dn.net/?f=5)
and
![7](https://tex.z-dn.net/?f=7)
. You have
![3\times5=15=7+8](https://tex.z-dn.net/?f=3%5Ctimes5%3D15%3D7%2B8)
so this is correct.